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11113 lines
234 KiB
11113 lines
234 KiB
\batchmode
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\input{psfig.sty}
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\documentclass{book}
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\RequirePackage{ifthen}
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\usepackage{html}
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\usepackage{makeidx}
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\makeindex
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\usepackage[dvips]{color}
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\pagecolor[gray]{.7}
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\usepackage[latin1]{inputenc}
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\makeatletter
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\AtBeginDocument{\makeatletter
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\input /home/msp/papers/book/book.aux
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\makeatother
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}
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\makeatletter
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\count@=\the\catcode`\_ \catcode`\_=8
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\newenvironment{tex2html_wrap}{}{}%
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\catcode`\<=12\catcode`\_=\count@
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\newcommand{\providedcommand}[1]{\expandafter\providecommand\csname #1\endcsname}%
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\newcommand{\renewedcommand}[1]{\expandafter\providecommand\csname #1\endcsname{}%
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\expandafter\renewcommand\csname #1\endcsname}%
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\newcommand{\newedenvironment}[1]{\newenvironment{#1}{}{}\renewenvironment{#1}}%
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\let\newedcommand\renewedcommand
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\let\renewedenvironment\newedenvironment
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\makeatother
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\let\mathon=$
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\let\mathoff=$
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\ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi
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\newbox\sizebox
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\setlength{\hoffset}{0pt}\setlength{\voffset}{0pt}
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\addtolength{\textheight}{\footskip}\setlength{\footskip}{0pt}
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\addtolength{\textheight}{\topmargin}\setlength{\topmargin}{0pt}
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\addtolength{\textheight}{\headheight}\setlength{\headheight}{0pt}
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\addtolength{\textheight}{\headsep}\setlength{\headsep}{0pt}
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\setlength{\textwidth}{349pt}
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\newwrite\lthtmlwrite
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\makeatletter
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\let\realnormalsize=\normalsize
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\global\topskip=2sp
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\def\preveqno{}\let\real@float=\@float \let\realend@float=\end@float
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\def\@float{\let\@savefreelist\@freelist\real@float}
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\def\liih@math{\ifmmode$\else\bad@math\fi}
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\def\end@float{\realend@float\global\let\@freelist\@savefreelist}
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\let\real@dbflt=\@dbflt \let\end@dblfloat=\end@float
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\let\@largefloatcheck=\relax
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\let\if@boxedmulticols=\iftrue
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\def\@dbflt{\let\@savefreelist\@freelist\real@dbflt}
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\def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize
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\parindent=0pt\abovedisplayskip=0pt\belowdisplayskip=0pt}%
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\def\phantompar{\csname par\endcsname}\normalsize}%
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\def\lthtmltypeout#1{{\let\protect\string \immediate\write\lthtmlwrite{#1}}}%
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\newcommand\lthtmlhboxmathA{\adjustnormalsize\setbox\sizebox=\hbox\bgroup\kern.05em }%
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\newcommand\lthtmlhboxmathB{\adjustnormalsize\setbox\sizebox=\hbox to\hsize\bgroup\hfill }%
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\newcommand\lthtmlvboxmathA{\adjustnormalsize\setbox\sizebox=\vbox\bgroup %
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\let\ifinner=\iffalse \let\)\liih@math }%
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\newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\voidb@x}}%
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\expandafter\box\next\egroup}%
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\newcommand\lthtmlmathtype[1]{\gdef\lthtmlmathenv{#1}}%
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\newcommand\lthtmllogmath{\dimen0\ht\sizebox \advance\dimen0\dp\sizebox
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\ifdim\dimen0>.95\vsize
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\lthtmltypeout{%
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*** image for \lthtmlmathenv\space is too tall at \the\dimen0, reducing to .95 vsize ***}%
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\ht\sizebox.95\vsize \dp\sizebox\z@ \fi
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\lthtmltypeout{l2hSize %
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:\lthtmlmathenv:\the\ht\sizebox::\the\dp\sizebox::\the\wd\sizebox.\preveqno}}%
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\newcommand\lthtmlfigureA[1]{\let\@savefreelist\@freelist
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\lthtmlmathtype{#1}\lthtmlvboxmathA}%
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\newcommand\lthtmlpictureA{\bgroup\catcode`\_=8 \lthtmlpictureB}%
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\newcommand\lthtmlpictureB[1]{\lthtmlmathtype{#1}\egroup
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\let\@savefreelist\@freelist \lthtmlhboxmathB}%
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\newcommand\lthtmlpictureZ[1]{\hfill\lthtmlfigureZ}%
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\newcommand\lthtmlfigureZ{\lthtmlboxmathZ\lthtmllogmath\copy\sizebox
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\global\let\@freelist\@savefreelist}%
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\newcommand\lthtmldisplayA{\bgroup\catcode`\_=8 \lthtmldisplayAi}%
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\newcommand\lthtmldisplayAi[1]{\lthtmlmathtype{#1}\egroup\lthtmlvboxmathA}%
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\newcommand\lthtmldisplayB[1]{\edef\preveqno{(\theequation)}%
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\lthtmldisplayA{#1}\let\@eqnnum\relax}%
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\newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}%
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\newcommand\lthtmlinlinemathA{\bgroup\catcode`\_=8 \lthtmlinlinemathB}
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\newcommand\lthtmlinlinemathB[1]{\lthtmlmathtype{#1}\egroup\lthtmlhboxmathA
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\vrule height1.5ex width0pt }%
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\newcommand\lthtmlinlineA{\bgroup\catcode`\_=8 \lthtmlinlineB}%
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\newcommand\lthtmlinlineB[1]{\lthtmlmathtype{#1}\egroup\lthtmlhboxmathA}%
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\newcommand\lthtmlinlineZ{\egroup\expandafter\ifdim\dp\sizebox>0pt %
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\expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetinline}
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\newcommand\lthtmlinlinemathZ{\egroup\expandafter\ifdim\dp\sizebox>0pt %
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\expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetmath}
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\newcommand\lthtmlindisplaymathZ{\egroup %
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\centerinlinemath\lthtmllogmath\lthtmlsetmath}
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\def\lthtmlsetinline{\hbox{\vrule width.1em \vtop{\vbox{%
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\kern.1em\copy\sizebox}\ifdim\dp\sizebox>0pt\kern.1em\else\kern.3pt\fi
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\ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}}
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\def\lthtmlsetmath{\hbox{\vrule width.1em\kern-.05em\vtop{\vbox{%
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\kern.1em\kern0.8 pt\hbox{\hglue.17em\copy\sizebox\hglue0.8 pt}}\kern.3pt%
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\ifdim\dp\sizebox>0pt\kern.1em\fi \kern0.8 pt%
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\ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}}
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\def\centerinlinemath{%
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\dimen1=\ifdim\ht\sizebox<\dp\sizebox \dp\sizebox\else\ht\sizebox\fi
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\advance\dimen1by.5pt \vrule width0pt height\dimen1 depth\dimen1
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\dp\sizebox=\dimen1\ht\sizebox=\dimen1\relax}
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\def\lthtmlcheckvsize{\ifdim\ht\sizebox<\vsize
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\ifdim\wd\sizebox<\hsize\expandafter\hfill\fi \expandafter\vfill
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\else\expandafter\vss\fi}%
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\providecommand{\selectlanguage}[1]{}%
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\makeatletter \tracingstats = 1
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\begin{document}
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\pagestyle{empty}\thispagestyle{empty}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength hsize=\the\hsize}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength vsize=\the\vsize}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength voffset=\the\voffset}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength topskip=\the\topskip}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength headheight=\the\headheight}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength headsep=\the\headsep}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength parskip=\the\parskip}\lthtmltypeout{}%
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\lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}\lthtmltypeout{}%
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\makeatletter
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\if@twoside\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}%
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\else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi%
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\lthtmltypeout{}%
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\makeatother
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\setcounter{page}{1}
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\onecolumn
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% !!! IMAGES START HERE !!!
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19209}%
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$\sqrt 2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19212}%
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$y[n]$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19215}%
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$N$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19218}%
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$a$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19221}%
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$\pi /2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19223}%
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$3\pi /2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19227}%
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$\alpha $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19229}%
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$\beta $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19231}%
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$\alpha > \beta > 0$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19233}%
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$\beta > \alpha $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19235}%
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$f=0$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19237}%
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$\alpha =\beta $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19239}%
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$\alpha =0$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19248}%
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$f()$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19251}%
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$f(x) = {x^2}$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19254}%
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$2\pi $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19257}%
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$W(\phi )=(1+\mathop {\mathgroup \symoperators cos}\nolimits (\phi ))/2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19259}%
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$a=1$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19261}%
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$a=2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19269}%
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$Z$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19273}%
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$b$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19280}%
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$|Z|=1$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19282}%
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$A$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19289}%
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$Z^-d$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19291}%
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$H$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19295}%
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$d/2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19302}%
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$\omega $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19305}%
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$d$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19307}%
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$g$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19311}%
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$|H|$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19313}%
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$W$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19323}%
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$g = 0.8$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19325}%
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$1/(1-g)$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19329}%
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$\theta = \pi /4$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19331}%
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$a = \mathop {\mathgroup \symoperators cos}\nolimits (\theta ) = \mathop {\mathgroup \symoperators sin}\nolimits (\theta ) = \sqrt {1/2} \approx 0.7071$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19335}%
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$R$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19338}%
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$t_1$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19340}%
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$t_2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19342}%
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$t_3$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19347}%
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$D$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19350}%
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$\pi $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19353}%
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$Q$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19355}%
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$Q=-1$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19367}%
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$r=|Q|$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19371}%
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$r=0.5$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19374}%
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$\beta = \pi /4$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19376}%
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$\beta =\pi $%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19378}%
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$\beta =3\pi /10$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19380}%
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$\beta =2\pi /10$%
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\lthtmlinlinemathZ
|
|
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|
|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline19382}%
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$\beta =0$%
|
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
|
|
{\newpage\clearpage
|
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\lthtmlinlinemathA{tex2html_wrap_inline19389}%
|
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$R(Z) = -{Z^2}$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
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\lthtmlinlinemathA{tex2html_wrap_inline19395}%
|
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$\pi /4$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
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\lthtmlinlinemathA{tex2html_wrap_inline19398}%
|
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$P=0.8$%
|
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\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
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\lthtmlinlinemathA{tex2html_wrap_inline19400}%
|
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$P=0.9$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19402}%
|
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$|P|=0.9$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19404}%
|
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$2\pi /10$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19410}%
|
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$p$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19413}%
|
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$k$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19421}%
|
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$2\omega $%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19423}%
|
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$1.5\omega $%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19428}%
|
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$\alpha =1.5\omega =3\pi /N$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19437}%
|
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$D_N$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19439}%
|
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$N=100$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19443}%
|
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$S[m, k]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19446}%
|
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$\@mathrm {fft}\sim $%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19449}%
|
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$(M, c)$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19451}%
|
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$(0, 8)$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19453}%
|
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$(N/2, -8)$%
|
|
\lthtmlinlinemathZ
|
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19458}%
|
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$(M, 1)$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19460}%
|
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$(N-M, -1)$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19464}%
|
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$M/N=0.03$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19466}%
|
|
$1/k$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline19468}%
|
|
$1/{k^2}$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
|
|
%
|
|
\providecommand{\patchAA}{A01.sinewave.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchAB}{A02.amplitude.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchAC}{A03.line.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchACbis}{A04.line2.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchAD}{A05.output.subpatch.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchAE}{A06.frequency.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchAG}{A07.fusion.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchAH}{A08.beating.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchAI}{A09.frequency.mod.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBA}{B01.wavetables.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBB}{B02.wavetable.FM.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBC}{B03.tabread4.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBD}{B04.sampler.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBE}{B05.sampler.loop.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBF}{B06.sampler.loop.smooth.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBG}{B07.sampler.scratch.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBH}{B08.sampler.nodoppler.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBI}{B09.sampler.transpose.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBJ}{B10.sampler.overlap.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchBK}{B11.sampler.rockafella.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCA}{C01.nyquist.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCB}{C02.sawtooth-foldover.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCC}{C03.zipper.noise.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCD}{C04.control.to.signal.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCE}{C05.sampler.oneshot.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCF}{C06.signal.to.control.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCG}{C07.envelope.follower.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCH}{C08.analog.sequencer.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCI}{C09.sample.hold.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchCJ}{C10.monophonic.synth.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDA}{D01.envelope.gen.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDB}{D02.adsr.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDC}{D03.envelope.dB.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDD}{D04.envelope.quartic.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDE}{D05.envelope.pitch.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDF}{D06.envelope.portamento.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDG}{D07.additive.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDH}{D08.table.spectrum.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDI}{D09.shepard.tone.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDJ}{D10.sampler.notes.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchDK}{D11.sampler.poly.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEA}{E01.spectrum.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEB}{E02.ring.modulation.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEC}{E03.octave.divider.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchED}{E04.difference.tone.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEE}{E05.chebychev.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEF}{E06.exponential.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEG}{E07.evenodd.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEH}{E08.phase.mod.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEI}{E09.FM.spectrum.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchEJ}{E10.complex.FM.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFA}{F01.pulse.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFE}{F05.ring.modulation.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFF}{F06.packets.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFH}{F08.two.cosines.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFI}{F09.declickit.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFL}{F12.paf.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFM}{F13.paf.control.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchFN}{F14.wave.packet.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGA}{G01.delay.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGB}{G02.delay.loop.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGC}{G03.delay.variable.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGD}{G04.control.blocksize.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGE}{G05.execution.order.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGF}{G06.octave.doubler.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGG}{G07.shaker.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGH}{G08.reverb.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchGI}{G09.pitchshift.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHA}{H01.low-pass.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHB}{H02.high-pass.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHC}{H03.band-pass.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHD}{H04.filter.sweep.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHE}{H05.filter.floyd.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHF}{H06.envelope.follower.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHG}{H07.measure.spectrum.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHH}{H08.heterodyning.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHI}{H09.ssb.modulation.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHJ}{H10.measurement.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHK}{H11.shelving.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHL}{H12.peaking.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHM}{H13.butterworth.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHN}{H14.all.pass.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchHO}{H15.phaser.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIA}{I01.Fourier.analysis.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIB}{I02.Hann.window.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIC}{I03.resynthesis.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchID}{I04.noisegate.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIE}{I05.compressor.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIF}{I06.timbre.stamp.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIG}{I07.phase.vocoder.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIH}{I08.pvoc.reverb.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchII}{I09.sheep.from.goats.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchIJ}{I10.phase.bash.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJA}{J01.even.odd.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJB}{J02.trapezoids.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJC}{J03.pulse.width.mod.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJD}{J04.corners.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJE}{J05.triangle.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJF}{J06.enveloping.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJG}{J07.oversampling.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJH}{J08.classicsynth.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\patchJI}{J09.bandlimited.pd}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdplus}{\texttt{+}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pddbtorms}{\texttt{dbtorms}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pddelay}{\texttt{delay}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pddel}{\texttt{del}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pddiv}{\texttt{div}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdexpr}{\texttt{expr}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdftom}{\texttt{ftom}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdf}{\texttt{f}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdfloat}{\texttt{float}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdinlet}{\texttt{inlet}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdline}{\texttt{line}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdmakefilename}{\texttt{makefilename}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdmakenote}{\texttt{makenote}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdmetro}{\texttt{metro}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdmod}{\texttt{pdmod}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdmoses}{\texttt{moses}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdmtof}{\texttt{mtof}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdnotein}{\texttt{notein}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdoutlet}{\texttt{outlet}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdpack}{\texttt{pack}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdpipe}{\texttt{pipe}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdpoly}{\texttt{poly}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdr}{\texttt{r}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdreceive}{\texttt{receive}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdroute}{\texttt{route}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pds}{\texttt{s}}%
|
|
|
|
|
|
%
|
|
\providecommand{\pdsend}{\texttt{send}}%
|
|
|
|
|
|
%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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%
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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$t$%
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\lthtmlinlinemathZ
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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$M$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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{\newpage\clearpage
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\begin{displaymath}
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\lthtmldisplayZ
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{\newpage\clearpage
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{\newpage\clearpage
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$P\{x[n]\}$%
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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{P\{x[n]\}} = {1 \over N} \left (
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{{|x[M]|} ^2} + \cdots + {{|x[M+N-1]|} ^2}
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\right )
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\end{displaymath}%
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\lthtmldisplayZ
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{\newpage\clearpage
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$1 / {\sqrt N}$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlfigureA{figure1057}%
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1582}%
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$a / {\sqrt 2}$%
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\stepcounter{section}
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{\newpage\clearpage
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\lthtmldisplayZ
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{\newpage\clearpage
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$a_0$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1590}%
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$\sqrt {10}$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1592}%
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$1/2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlfigureA{figure1073}%
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1598}%
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${a_0}/10$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1600}%
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${a_0}/100$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1602}%
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$-\infty$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1498}%
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{a_0} = {10^{-5}} = 0.00001
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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\stepcounter{section}
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{\newpage\clearpage
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|
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\end{figure}%
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\lthtmlfigureZ
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1608}%
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$y \ge
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0$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1610}%
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$y$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1612}%
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$y \cdot
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x[n]$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1622}%
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$y[n] \cdot x[n]$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1626}%
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$M+N-1$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
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|
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\stepcounter{section}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1638}%
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${2 ^ {1/{12}}}$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1640}%
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$m$%
|
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
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|
|
{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1642}%
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$f$%
|
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
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|
|
{\newpage\clearpage
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\lthtmldisplayA{displaymath1499}%
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\begin{displaymath}
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m = 69 + 12 \cdot {\log _ 2} (f/440)
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\begin{displaymath}
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f = 440 \cdot {{2} ^ {(m - 69) / 12}}
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\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1644}%
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$m=60$%
|
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1646}%
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$f=261.626$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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\stepcounter{section}
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{\newpage\clearpage
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\lthtmlfigureA{figure1121}%
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\begin{figure}\psfig{file=figs/fig01.05.ps}
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|
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\end{figure}%
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\lthtmlfigureZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlfigureA{figure1127}%
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\begin{figure}\psfig{file=figs/fig01.06.ps}
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|
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\end{figure}%
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1501}%
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\begin{displaymath}
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y[n] = a + (b - a) {{n-M} \over N}, \hspace{0.1in} M \le n \le M+N-1.
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1674}%
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$a=b$%
|
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
|
{\newpage\clearpage
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\lthtmlfigureA{figure1146}%
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\begin{figure}\psfig{file=figs/fig01.07.ps}
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|
|
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\end{figure}%
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\lthtmlfigureZ
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\stepcounter{section}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1680}%
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$k \cdot x[n]$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
|
|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1682}%
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$k \ge 0$%
|
|
\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline1684}%
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$kA$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
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\lthtmlinlinemathA{tex2html_wrap_inline1686}%
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$k^2$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
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\lthtmldisplayA{displaymath1502}%
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\begin{displaymath}
|
|
{A_{\mathrm{peak}}} \{x[n]\} +
|
|
{A_{\mathrm{peak}}} \{y[n]\} \ge
|
|
{A_{\mathrm{peak}}} \{x[n]+y[n]\}
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\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1503}%
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\begin{displaymath}
|
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{A_{\mathrm{RMS}}} \{x[n]\} +
|
|
{A_{\mathrm{RMS}}} \{y[n]\} \ge
|
|
{A_{\mathrm{RMS}}} \{x[n]+y[n]\}
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\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1694}%
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$N+M-1$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1504}%
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\begin{displaymath}
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P \{x[n] + y[n]\} = P \{x[n]\} + P \{y[n]\}
|
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+ 2 \cdot {\mathrm{COV}} \{ x[n] , y[n] \}
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\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1505}%
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\begin{displaymath}
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{\mathrm{COV}} \{ x[n] , y[n] \} =
|
|
{
|
|
{x[M]y[M] + \cdots + x[M+N-1]y[M+N-1]}
|
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\over
|
|
N
|
|
}
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\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1506}%
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\begin{displaymath}
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P \{x[n] + y[n]\} = P \{x[n]\} + P \{y[n]\} , \hspace{0.1in}
|
|
\mathrm{whenever}
|
|
\ {\mathrm{COV}} \{ x[n] , y[n] \} = 0
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|
\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1507}%
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\begin{displaymath}
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{{\left ( {A_{\mathrm{RMS}}} \{x[n]+y[n]\} \right ) } ^ 2} =
|
|
{{\left ( {A_{\mathrm{RMS}}} \{x[n]\} \right ) } ^ 2} +
|
|
{{\left ( {A_{\mathrm{RMS}}} \{y[n]\} \right ) } ^ 2} .
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|
\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1698}%
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${\sqrt 2} a$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
|
|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1700}%
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$2a$%
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|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
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|
|
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\stepcounter{section}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1704}%
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$\tau$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
|
|
{\newpage\clearpage
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\lthtmldisplayA{displaymath1508}%
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\begin{displaymath}
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x[n + \tau] = x[n]
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\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
|
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1708}%
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$2 \tau$%
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|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1716}%
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$2 \pi / \omega$%
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|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1720}%
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$2 \pi k/ \omega$%
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|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
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\lthtmldisplayA{displaymath1509}%
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\begin{displaymath}
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x[n] = {a_0} +
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|
{a_1} \cos \left ( \omega n + {\phi_1} \right ) +
|
|
{a_2} \cos \left ( 2 \omega n + {\phi_2} \right ) + \cdots +
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|
{a_p} \cos \left ( p \omega n + {\phi_p} \right )
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|
\end{displaymath}%
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\lthtmldisplayZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1730}%
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$\omega, 2 \omega, \ldots$%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlfigureA{figure1194}%
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\begin{figure}\psfig{file=figs/fig01.08.ps}
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|
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\end{figure}%
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\lthtmlfigureZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlfigureA{figure1200}%
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\begin{figure}\psfig{file=figs/fig01.09.ps}
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\end{figure}%
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\lthtmlfigureZ
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\lthtmlcheckvsize\clearpage}
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\stepcounter{section}
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{\newpage\clearpage
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\lthtmlfigureA{figure1236}%
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\begin{figure}\psfig{file=figs/fig01.10.ps}
|
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|
|
\end{figure}%
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\lthtmlfigureZ
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\lthtmlcheckvsize\clearpage}
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\stepcounter{section}
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{\newpage\clearpage
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\lthtmlfigureA{figure1254}%
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\begin{figure}\psfig{file=figs/fig01.11.ps}
|
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|
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\end{figure}%
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\lthtmlfigureZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline1994}%
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\fbox{ $ \mathrm{osc}\sim $}%
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\lthtmlinlinemathZ
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|
\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline2000}%
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\fbox{ $*\sim$\ }%
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|
\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
|
|
|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline2006}%
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\fbox{ $ \mathrm{dac}\sim $}%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlfigureA{figure1271}%
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\begin{figure}\psfig{file=figs/fig01.12.ps}
|
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|
|
\end{figure}%
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\lthtmlfigureZ
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\lthtmlcheckvsize\clearpage}
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline2026}%
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\fbox{ $ \mathrm{dbtorms} $}%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline2028}%
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\fbox{ $ \mathrm{dbtorms}\sim $}%
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\lthtmlinlinemathZ
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\lthtmlcheckvsize\clearpage}
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|
|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline2040}%
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\fbox{ $ \mathrm{line}\sim $}%
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\lthtmlinlinemathZ
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|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
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\lthtmlfigureA{figure1294}%
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\begin{figure}\psfig{file=figs/fig01.13.ps}
|
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|
|
\end{figure}%
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\lthtmlfigureZ
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\lthtmlcheckvsize\clearpage}
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|
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{\newpage\clearpage
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\lthtmlinlinemathA{tex2html_wrap_inline2070}%
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\fbox{ $ \mathrm{mtof} $}%
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|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2072}%
|
|
\fbox{ $ \mathrm{ftom} $}%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2080}%
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\fbox{ $ \mathrm{receive} $}%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2082}%
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|
\fbox{ $ \mathrm{r} $}%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2090}%
|
|
\fbox{ $\mathrm{send}$}%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2092}%
|
|
\fbox{ $\mathrm{s}$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure1320}%
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\begin{figure}\psfig{file=figs/fig01.14.ps}
|
|
|
|
\end{figure}%
|
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\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
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|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure1328}%
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\begin{figure}\psfig{file=figs/fig01.15.ps}
|
|
|
|
\end{figure}%
|
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\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline1776}%
|
|
$\phi=0$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline1778}%
|
|
$\omega = \pi/10$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline1780}%
|
|
$n=10$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline1782}%
|
|
$x[n], n = 0, ..., N-1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{chapter}
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2726}%
|
|
$n = 0, ..., N-1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2734}%
|
|
$z[n]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2656}%
|
|
\begin{displaymath}
|
|
z[n] = x[y[n]]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2154}%
|
|
\begin{figure}\psfig{file=figs/fig02.01.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2740}%
|
|
$0, ..., N-1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2746}%
|
|
$N-1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2657}%
|
|
\begin{displaymath}
|
|
z[n] = \left \{ {
|
|
\begin{array}{ll}
|
|
x[ \lfloor y[n] \rfloor ] & \mbox{if $0 \le y[n] < N-1$} \\
|
|
x[0] & \mbox{if $y[n] < 0$} \\
|
|
x[N-1] & \mbox{if $y[n] \ge N-1$} \\
|
|
\end{array}
|
|
} \right .
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2754}%
|
|
$\lfloor y[n] \rfloor$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2758}%
|
|
$y[0]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2760}%
|
|
$z[0]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2762}%
|
|
$y[1]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2764}%
|
|
$z[1]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2768}%
|
|
$0 \le y[n] < N$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2774}%
|
|
$0$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2776}%
|
|
$40$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2778}%
|
|
$R/20$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2174}%
|
|
\begin{figure}\psfig{file=figs/fig02.02.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2188}%
|
|
\begin{figure}\psfig{file=figs/fig02.03.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2802}%
|
|
$2\pi/N$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2804}%
|
|
$0 \le x[n] \le 1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2806}%
|
|
$x[n] = 0$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2808}%
|
|
$x[n] = 1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2658}%
|
|
\begin{displaymath}
|
|
(1 - x[n])y[n] + x[n]z[n]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2659}%
|
|
\begin{displaymath}
|
|
y[n] + x[n](z[n]-y[n])
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2196}%
|
|
\begin{figure}\psfig{file=figs/fig02.04.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2826}%
|
|
$N/M$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2828}%
|
|
$N f / R$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2834}%
|
|
$t=3/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2836}%
|
|
$h$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2660}%
|
|
\begin{displaymath}
|
|
t = {N / M} = {{N f} / R}
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2661}%
|
|
\begin{displaymath}
|
|
h = 12 \, {\log _ 2} \left ( {N \over M} \right ) =
|
|
12 \, {\log _ 2} \left ( {N f \over R} \right )
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2662}%
|
|
\begin{displaymath}
|
|
f = {{2^{h/12} R} \over N}
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2663}%
|
|
\begin{displaymath}
|
|
N = {{2^{h/12} R} \over f}
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2844}%
|
|
$y[t]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2664}%
|
|
\begin{displaymath}
|
|
t[n] = \left | y[n] - y[n-1] \right |
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2665}%
|
|
\begin{displaymath}
|
|
h[n] = 12 {{\log_2} \left | y[n] - y[n-1] \right |}
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2850}%
|
|
$|$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2852}%
|
|
$y[n] = n$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2854}%
|
|
$z[n] = x[n]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2666}%
|
|
\begin{displaymath}
|
|
y[n]-y[n-1] = 1
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2856}%
|
|
$y[n] = 2n$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2667}%
|
|
\begin{displaymath}
|
|
y[n]-y[n-1] = 2
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2872}%
|
|
$s$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2874}%
|
|
$t = fs/R$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2880}%
|
|
$l$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2894}%
|
|
$l+s$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2898}%
|
|
$-1/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2904}%
|
|
$-s/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2906}%
|
|
$s/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2910}%
|
|
$l-s/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2912}%
|
|
$l+s/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2230}%
|
|
\begin{figure}\psfig{file=figs/fig02.05.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2241}%
|
|
\begin{figure}\psfig{file=figs/fig02.06.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2247}%
|
|
\begin{figure}\psfig{file=figs/fig02.07.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2254}%
|
|
\begin{figure}\psfig{file=figs/fig02.08.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2269}%
|
|
\begin{figure}\psfig{file=figs/fig02.09.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2668}%
|
|
\begin{displaymath}
|
|
{x_{100}}[n] = {a_0} +
|
|
{a_1} \cos \left ( \omega n + {\phi_1} \right ) +
|
|
{a_2} \cos \left ( 2 \omega n + {\phi_2} \right ) + \cdots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2934}%
|
|
$\pi/10$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2936}%
|
|
${x_{50}}[n]$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2669}%
|
|
\begin{displaymath}
|
|
{x_{100}}[2n] = {x_{50}}[n] + {x_{50}}[n+{\pi \over \omega}]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2940}%
|
|
$\pi / \omega$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2670}%
|
|
\begin{displaymath}
|
|
{x_{50}}[n] = {b_0} +
|
|
{b_1} \cos \left ( \omega n + {\theta_1} \right ) +
|
|
{b_2} \cos \left ( 2 \omega n + {\theta_2} \right ) + \cdots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2671}%
|
|
\begin{displaymath}
|
|
{a_0} +
|
|
{a_1} \cos \left ( 2 \omega n + {\phi_1} \right ) +
|
|
{a_2} \cos \left ( 4 \omega n + {\phi_2} \right ) + \cdots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2672}%
|
|
\begin{displaymath}
|
|
=
|
|
{b_0} +
|
|
{b_1} \cos \left ( \omega n + {\theta_1} \right ) +
|
|
{b_2} \cos \left ( 2 \omega n + {\theta_2} \right ) + \cdots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2673}%
|
|
\begin{displaymath}
|
|
+
|
|
{b_0} +
|
|
{b_1} \cos \left ( \omega n + \pi + {\theta_1} \right ) +
|
|
{b_2} \cos \left ( 2 \omega n + 2 \pi + {\theta_2} \right ) + \cdots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2674}%
|
|
\begin{displaymath}
|
|
= 2 {b_0} +
|
|
2 {b_2} \cos \left ( 2 \omega n + {\theta_2} \right ) +
|
|
2 {b_4} \cos \left ( 4 \omega n + {\theta_4} \right ) + \cdots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2675}%
|
|
\begin{displaymath}
|
|
{a_0} = 2{b_0}, \,\, {a_1} = 2{b_2}, \,\, {a_2} = 2{b_4}
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2944}%
|
|
$x_{50}$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2946}%
|
|
$x_{100}$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2952}%
|
|
$x_{200}$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2676}%
|
|
\begin{displaymath}
|
|
{x_{200}}[2n] = {x_{100}}[n] + {x_{100}}[n+{\pi \over \omega}]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2956}%
|
|
$c_0$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2958}%
|
|
$c_1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2960}%
|
|
$\ldots$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2677}%
|
|
\begin{displaymath}
|
|
{c_0} = 2{a_0}, {c_1} = 2{a_2}, {c_2} = 2{a_4}, \ldots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2968}%
|
|
$1/f$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2340}%
|
|
\begin{figure}\psfig{file=figs/fig02.10.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2978}%
|
|
$x$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2980}%
|
|
${x_0}$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2678}%
|
|
\begin{displaymath}
|
|
{y_{\mathrm{INT}}}(x) =
|
|
{a_0} + {a_1} (x - {x_0}) + {a_2} {{({x - x_0})}^ 2 } + \cdots +
|
|
{a_n} {{({x - x_0})}^ n }
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2982}%
|
|
$n+1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2988}%
|
|
$x_0$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2992}%
|
|
$\lfloor x \rfloor$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2679}%
|
|
\begin{displaymath}
|
|
{y_{\mathrm{INT}}}(x) =
|
|
y[{x_0}] + (y[{x_0} + 1]- y[{x_0}]) \cdot (x - {x_0})
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2680}%
|
|
\begin{displaymath}
|
|
{a_0} = y[{x_0}]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2681}%
|
|
\begin{displaymath}
|
|
{a_1} = y[{x_0} + 1]- y[{x_0}]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline2994}%
|
|
$n-1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2372}%
|
|
\begin{figure}\psfig{file=figs/fig02.11.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2682}%
|
|
\begin{displaymath}
|
|
{y_{\mathrm{INT}}}(x) =
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2683}%
|
|
\begin{displaymath}
|
|
-f (f-1)(f-2)/6 \cdot y[{x_0}-1]
|
|
+ (f+1)(f-1)(f-2)/2 \cdot y[{x_0}]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2684}%
|
|
\begin{displaymath}
|
|
- (f+1) f (f-2) / 2 \cdot y[{x_0}+1]
|
|
+ (f+1) f (f-1) / 6 \cdot y[{x_0}+2]
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3000}%
|
|
$f = x - {x_0}$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3006}%
|
|
$N + 1 - k$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3008}%
|
|
$k=1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3020}%
|
|
$N-1/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3032}%
|
|
$N-2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3036}%
|
|
$1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3040}%
|
|
$N-3$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2685}%
|
|
\begin{displaymath}
|
|
x[n] = \cos(2 \pi n / N) ,\, n = 0, \ldots, N-1
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3044}%
|
|
$N+1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2686}%
|
|
\begin{displaymath}
|
|
x[n] = \cos(2 \pi n / N) ,\, n = 0, \ldots, N
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3052}%
|
|
$n=1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3064}%
|
|
$N+2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3068}%
|
|
$2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3070}%
|
|
$N+3$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2687}%
|
|
\begin{displaymath}
|
|
x[n] = \cos(2 \pi (n-1) / N) ,\, n = 0, \ldots, N+2
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2398}%
|
|
\begin{figure}\psfig{file=figs/fig02.12.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3366}%
|
|
\fbox{ $ \mathrm{tabosc4}\sim $}%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3076}%
|
|
${2^m} + 3$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2410}%
|
|
\begin{figure}\psfig{file=figs/fig02.13.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3386}%
|
|
\fbox{ $\mathrm{tabread4}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3392}%
|
|
\fbox{ $\mathrm{tabwrite}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3402}%
|
|
\fbox{ $\mathrm{pack}$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2428}%
|
|
\begin{figure}\psfig{file=figs/fig02.14.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3424}%
|
|
\fbox{ $\mathrm{hip}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2441}%
|
|
\begin{figure}\psfig{file=figs/fig02.15.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3444}%
|
|
\fbox{ $\mathrm{cos}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3100}%
|
|
$-\pi/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3458}%
|
|
\fbox{ $\mathrm{samphold}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure2464}%
|
|
\begin{figure}\psfig{file=figs/fig02.16.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3478}%
|
|
\fbox{ $\mathrm{loadbang}$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3484}%
|
|
\fbox{ $\mathrm{expr}$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3490}%
|
|
\fbox{$\mathrm{wrap}\sim$}%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3496}%
|
|
\fbox{ $\mathrm{send}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3498}%
|
|
\fbox{ $\mathrm{s}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3500}%
|
|
\fbox{ $\mathrm{receive}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3502}%
|
|
\fbox{ $\mathrm{r}\sim$\ }%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3140}%
|
|
$c$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2688}%
|
|
\begin{displaymath}
|
|
t = p + cf
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath2689}%
|
|
\begin{displaymath}
|
|
f = {{t - p} \over c} = {{{{2 ^ {h/12}}} - p} \over c}
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3148}%
|
|
$1000$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3150}%
|
|
$R=44100$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{chapter}
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3946}%
|
|
\begin{displaymath}
|
|
f(n) = 1 \, , \, \, \, \, \, n = \, \, \ldots, -1, 0, 1, \ldots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3972}%
|
|
$f(t)=1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3984}%
|
|
$R/2$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline3992}%
|
|
$\pi + \omega$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3947}%
|
|
\begin{displaymath}
|
|
\cos((\pi + \omega)n + \phi) = \cos((\pi + \omega)n + \phi - 2\pi n)
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3948}%
|
|
\begin{displaymath}
|
|
= \cos((\omega - \pi)n + \phi)
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3949}%
|
|
\begin{displaymath}
|
|
= \cos((\pi - \omega)n - \phi)
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline4006}%
|
|
$\infty$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure3562}%
|
|
\begin{figure}\psfig{file=figs/fig03.01.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline4024}%
|
|
$f(t)$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3950}%
|
|
\begin{displaymath}
|
|
f(t) = {1 \over 2} - {1 \over \pi}
|
|
{ \left (
|
|
\sin(\omega t) + {{\sin(2 \omega t)} \over 2} +
|
|
{{\sin(3 \omega t)} \over 3} + \cdots
|
|
\right ) }
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline4030}%
|
|
$1/n$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure3582}%
|
|
\begin{figure}\psfig{file=figs/fig03.02.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline4036}%
|
|
$B$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline4038}%
|
|
$B=4$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmlinlinemathA{tex2html_wrap_inline4040}%
|
|
$0, 1, ... B-1$%
|
|
\lthtmlinlinemathZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
\stepcounter{section}
|
|
{\newpage\clearpage
|
|
\lthtmlfigureA{figure3590}%
|
|
\begin{figure}\psfig{file=figs/fig03.03.ps}
|
|
|
|
\end{figure}%
|
|
\lthtmlfigureZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3951}%
|
|
\begin{displaymath}
|
|
\ldots , t[0], t[1], t[2], \ldots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3952}%
|
|
\begin{displaymath}
|
|
\cdots \le t[0] \le t[1] \le t[2] \le \cdots
|
|
\end{displaymath}%
|
|
\lthtmldisplayZ
|
|
\lthtmlcheckvsize\clearpage}
|
|
|
|
{\newpage\clearpage
|
|
\lthtmldisplayA{displaymath3953}%
|
|
\begin{displaymath}
|
|