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Many changes (all cosmetical) I had done before this repo existed.

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Lucas Cordiviola
2022-04-12 22:02:59 -03:00
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book.css
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<UL>
<LI><UL>
<LI><A NAME="tex2html211"
HREF="node1.html">#1</A>
<UL>
<LI><A NAME="tex2html212"
HREF="node2.html">#1</A>
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<BR>
<LI><A NAME="tex2html213"
HREF="node3.html">#1</A>
<LI><A NAME="tex2html214"
HREF="node4.html">Contents</A>
<LI><A NAME="tex2html215"
HREF="node5.html">Foreword</A>
<LI><A NAME="tex2html216"
HREF="node6.html">Preface</A>
<LI><A NAME="tex2html217"
HREF="node7.html">Sinusoids, amplitude and frequency</A>
<UL>
<LI><A NAME="tex2html218"
HREF="node8.html">Measures of Amplitude</A>
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<LI><A NAME="tex2html220"
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<LI><A NAME="tex2html224"
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<LI><A NAME="tex2html225"
HREF="node15.html">About the Software Examples</A>
<UL>
<LI><A NAME="tex2html226"
HREF="node16.html">Quick Introduction to Pd</A>
<LI><A NAME="tex2html227"
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<LI><A NAME="tex2html229"
HREF="node19.html">Constant amplitude scaler</A>
<LI><A NAME="tex2html230"
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<LI><A NAME="tex2html231"
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<LI><A NAME="tex2html232"
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<LI><A NAME="tex2html233"
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<BR>
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<LI><A NAME="tex2html321"
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<UL>
<LI><A NAME="tex2html322"
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<LI><A NAME="tex2html326"
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<LI><A NAME="tex2html332"
HREF="node122.html">Non-recirculating comb filter as octave doubler</A>
<LI><A NAME="tex2html333"
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<LI><A NAME="tex2html334"
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<LI><A NAME="tex2html336"
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<BR>
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<UL>
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<UL>
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<LI><A NAME="tex2html349"
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<UL>
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HREF="node140.html">One-pole low-pass filter</A>
<LI><A NAME="tex2html351"
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<LI><A NAME="tex2html355"
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<LI><A NAME="tex2html356"
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HREF="node151.html">Applications</A>
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HREF="node152.html">Subtractive synthesis</A>
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<LI><A NAME="tex2html364"
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HREF="node155.html">Examples</A>
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<LI><A NAME="tex2html370"
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<LI><A NAME="tex2html371"
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<LI><A NAME="tex2html372"
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<LI><A NAME="tex2html373"
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<UL>
<LI><A NAME="tex2html374"
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<UL>
<LI><A NAME="tex2html375"
HREF="node165.html">Periodicity of the Fourier transform</A>
<LI><A NAME="tex2html376"
HREF="node166.html">Fourier transform as additive synthesis</A>
</UL>
<LI><A NAME="tex2html377"
HREF="node167.html">Properties of Fourier transforms</A>
<UL>
<LI><A NAME="tex2html378"
HREF="node168.html">Fourier transform of DC</A>
<LI><A NAME="tex2html379"
HREF="node169.html">Shifts and phase changes</A>
<LI><A NAME="tex2html380"
HREF="node170.html">Fourier transform of a sinusoid</A>
</UL>
<LI><A NAME="tex2html381"
HREF="node171.html">Fourier analysis of non-periodic signals</A>
<LI><A NAME="tex2html382"
HREF="node172.html">Fourier analysis and reconstruction of audio signals</A>
<UL>
<LI><A NAME="tex2html383"
HREF="node173.html">Narrow-band companding</A>
<LI><A NAME="tex2html384"
HREF="node174.html">Timbre stamping (classical vocoder)</A>
</UL>
<LI><A NAME="tex2html385"
HREF="node175.html">Phase</A>
<UL>
<LI><A NAME="tex2html386"
HREF="node176.html">Phase relationships between channels</A>
</UL>
<LI><A NAME="tex2html387"
HREF="node177.html">Phase bashing</A>
<LI><A NAME="tex2html388"
HREF="node178.html">Examples</A>
<UL>
<LI><A NAME="tex2html389"
HREF="node179.html">Fourier analysis and resynthesis in Pd</A>
<LI><A NAME="tex2html390"
HREF="node180.html">Narrow-band companding: noise suppression</A>
<LI><A NAME="tex2html391"
HREF="node181.html">Timbre stamp (``vocoder")</A>
<LI><A NAME="tex2html392"
HREF="node182.html">Phase vocoder time bender</A>
</UL>
<LI><A NAME="tex2html393"
HREF="node183.html">Exercises</A>
</UL>
<BR>
<LI><A NAME="tex2html394"
HREF="node184.html">Classical waveforms</A>
<UL>
<LI><A NAME="tex2html395"
HREF="node185.html">Symmetries and Fourier series</A>
<UL>
<LI><A NAME="tex2html396"
HREF="node186.html">Sawtooth waves and symmetry</A>
</UL>
<LI><A NAME="tex2html397"
HREF="node187.html">Dissecting classical waveforms</A>
<LI><A NAME="tex2html398"
HREF="node188.html">Fourier series of the elementary waveforms</A>
<UL>
<LI><A NAME="tex2html399"
HREF="node189.html">Sawtooth wave</A>
<LI><A NAME="tex2html400"
HREF="node190.html">Parabolic wave</A>
<LI><A NAME="tex2html401"
HREF="node191.html">Square and symmetric triangle waves</A>
<LI><A NAME="tex2html402"
HREF="node192.html">General (non-symmetric) triangle wave</A>
</UL>
<LI><A NAME="tex2html403"
HREF="node193.html">Predicting and controlling foldover</A>
<UL>
<LI><A NAME="tex2html404"
HREF="node194.html">Over-sampling</A>
<LI><A NAME="tex2html405"
HREF="node195.html">Sneaky triangle waves</A>
<LI><A NAME="tex2html406"
HREF="node196.html">Transition splicing</A>
</UL>
<LI><A NAME="tex2html407"
HREF="node197.html">Examples</A>
<UL>
<LI><A NAME="tex2html408"
HREF="node198.html">Combining sawtooth waves</A>
<LI><A NAME="tex2html409"
HREF="node199.html">Strategies for band-limiting sawtooth waves</A>
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<LI><A NAME="tex2html410"
HREF="node200.html">Exercises</A>
</UL>
<BR>
<LI><A NAME="tex2html411"
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<LI><A NAME="tex2html412"
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<LI><A NAME="tex2html413"
HREF="node203.html">About this document ...</A>
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<ADDRESS>
Miller Puckette
2006-12-30
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their amplitudes. For example, a simple strategy for synthesizing sounds is by
combining sinusoids, which can be generated by evaluating the formula on Page
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<BR>
<B> Next:</B> <A NAME="tex2html708"
HREF="node12.html">Synthesizing a sinusoid</A>
@@ -170,23 +174,23 @@ two-octave range, is shown in Figure <A HREF="node10.html#fig01.04">1.4</A>.
<A NAME="tex2html707"
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<B> Next:</B> <A NAME="tex2html708"
HREF="node12.html">Synthesizing a sinusoid</A>

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Power conservation and complex delay networks</TITLE>
<META NAME="description" CONTENT="Power conservation and complex delay networks">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
<B> Next:</B> <A NAME="tex2html2200"
HREF="node111.html">Artificial reverberation</A>
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<B> Next:</B> <A NAME="tex2html2200"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Artificial reverberation</TITLE>
<META NAME="description" CONTENT="Artificial reverberation">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2213"
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<BR>
<B> Next:</B> <A NAME="tex2html2214"
HREF="node112.html">Controlling reverberators</A>
@@ -281,23 +285,23 @@ and lengthy tuning by trial, error, and critical listening.
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<B> Next:</B> <A NAME="tex2html2214"
HREF="node112.html">Controlling reverberators</A>

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Controlling reverberators</TITLE>
<META NAME="description" CONTENT="Controlling reverberators">
<META NAME="keywords" CONTENT="book">
@@ -28,23 +32,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
<B> Next:</B> <A NAME="tex2html2227"
HREF="node113.html">Variable and fractional shifts</A>
@@ -134,23 +138,23 @@ decay.
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<B> Next:</B> <A NAME="tex2html2227"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Variable and fractional shifts</TITLE>
<META NAME="description" CONTENT="Variable and fractional shifts">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2240"
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<BR>
<B> Next:</B> <A NAME="tex2html2241"
HREF="node114.html">Fidelity of interpolating delay</A>
@@ -262,7 +266,7 @@ appropriately in case <IMG
SRC="img2.png"
ALT="$y[n]$"> is not an integer. This is exactly the formula
for wavetable lookup (Page <A HREF="node26.html#chapter-wavetable"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>). We can use all the
SRC="crossref.png"></A>). We can use all the
properties of wavetable lookup of recorded sounds to predict the behavior
of variable delay lines.
@@ -390,23 +394,23 @@ diagonal region.
<A NAME="tex2html2240"
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HREF="node201.html">
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<B> Next:</B> <A NAME="tex2html2241"
HREF="node114.html">Fidelity of interpolating delay</A>

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Fidelity of interpolating delay lines</TITLE>
<META NAME="description" CONTENT="Fidelity of interpolating delay lines">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2254"
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<BR>
<B> Next:</B> <A NAME="tex2html2255"
HREF="node115.html">Pitch shifting</A>
@@ -78,7 +82,7 @@ Section <A HREF="node31.html#sect2.interpolation">2.5</A> apply. To use them, w
delay line input can be broken down into sinusoids and consider separately what
happens to each individual sinusoid. We can use Table 2.1
(Page <A HREF="node31.html#tab02.1"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>) to predict
SRC="crossref.png"></A>) to predict
the RMS level of the combined distortion products for an interpolated
variable delay line.
@@ -220,23 +224,23 @@ the way up to 20000 Hertz.
<A NAME="tex2html2254"
HREF="node115.html">
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<B> Next:</B> <A NAME="tex2html2255"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Pitch shifting</TITLE>
<META NAME="description" CONTENT="Pitch shifting">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2268"
HREF="node116.html">
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<BR>
<B> Next:</B> <A NAME="tex2html2269"
HREF="node116.html">Examples</A>
@@ -129,7 +133,7 @@ the average delay, and <IMG
SRC="img27.png"
ALT="$\omega $"> is an angular frequency. The Momentary
Transposition (Page <A HREF="node113.html#eq.momentarydel"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>), is approximately
SRC="crossref.png"></A>), is approximately
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
@@ -233,7 +237,7 @@ looping sampler (Section <A HREF="node28.html#sect2.sampling">2.2</A>).
The sawtooth output is also used to envelope the output in exactly the same
way as in the enveloped wavetable sampler of Figure <A HREF="node29.html#fig02.07">2.7</A>
(Page <A HREF="node29.html#fig02.07"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>). The
SRC="crossref.png"></A>). The
envelope is zero at the points where the sawtooth wraps around, and in
between, rises smoothly to a maximum value of 1 (for unit gain).
@@ -302,7 +306,7 @@ Adding the constant <IMG
SRC="img801.png"
ALT="$d_0$"> has no effect on this slope. The Momentary
Transposition (Page <A HREF="node113.html#eq.momentarydel"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>) is then:
SRC="crossref.png"></A>) is then:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
@@ -421,7 +425,7 @@ this causes hard-to-control Doppler shifts.
A good choice of envelope is one half cycle of a sinusoid. If we assume
on average that the two delay outputs are uncorrelated (Page
<A HREF="node13.html#eq-meanpowersum"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>), the signal power from the two delay lines, after
SRC="crossref.png"></A>), the signal power from the two delay lines, after
enveloping, will add to a constant (since the sum of squares of the two
envelopes is one).
@@ -444,23 +448,23 @@ artifacts such as difference tones.
<A NAME="tex2html2268"
HREF="node116.html">
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<B> Next:</B> <A NAME="tex2html2269"
HREF="node116.html">Examples</A>

16
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@@ -1,4 +1,4 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Examples</TITLE>
<META NAME="description" CONTENT="Examples">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2282"
HREF="node117.html">
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<B> Next:</B> <A NAME="tex2html2283"
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@@ -1,4 +1,4 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Fixed, noninterpolating delay line</TITLE>
<META NAME="description" CONTENT="Fixed, noninterpolating delay line">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2305"
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SRC="index.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html2306"
HREF="node118.html">Recirculating comb filter</A>
@@ -129,23 +133,23 @@ possible when the delay time changes.
<A NAME="tex2html2305"
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SRC="up.png"></A>
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SRC="contents.png"></A>
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<B> Next:</B> <A NAME="tex2html2306"
HREF="node118.html">Recirculating comb filter</A>

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@@ -1,4 +1,4 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Recirculating comb filter</TITLE>
<META NAME="description" CONTENT="Recirculating comb filter">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2319"
HREF="node119.html">
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<B> Next:</B> <A NAME="tex2html2320"
HREF="node119.html">Variable delay line</A>

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@@ -1,4 +1,4 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Variable delay line</TITLE>
<META NAME="description" CONTENT="Variable delay line">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2333"
HREF="node120.html">
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SRC="file:/usr/local/share/lib/latex2html/icons/next.png"></A>
SRC="next.png"></A>
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HREF="node116.html">
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SRC="file:/usr/local/share/lib/latex2html/icons/up.png"></A>
SRC="up.png"></A>
<A NAME="tex2html2321"
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SRC="file:/usr/local/share/lib/latex2html/icons/prev.png"></A>
SRC="prev.png"></A>
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HREF="node4.html">
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SRC="contents.png"></A>
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HREF="node201.html">
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SRC="index.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html2334"
HREF="node120.html">Order of execution and</A>
@@ -135,23 +139,23 @@ characteristic way.
<A NAME="tex2html2333"
HREF="node120.html">
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SRC="up.png"></A>
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<B> Next:</B> <A NAME="tex2html2334"
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@@ -1,4 +1,4 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Synthesizing a sinusoid</TITLE>
<META NAME="description" CONTENT="Synthesizing a sinusoid">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html721"
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SRC="next.png"></A>
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SRC="up.png"></A>
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SRC="index.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html722"
HREF="node13.html">Superposing Signals</A>
@@ -79,7 +83,7 @@ which essentially corresponds to the synthesis algorithm to be used, and then
worries about how to control the various unit generators in time. In this
section, we'll use abstract block diagrams to describe patches, but in the
``examples" section (Page <A HREF="node18.html#sect1.examples"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>), we'll choose a
SRC="crossref.png"></A>), we'll choose a
specific implementation environment and show some of the software-dependent
details.
@@ -265,23 +269,23 @@ Using an envelope generator to control amplitude.</CAPTION>
<A NAME="tex2html721"
HREF="node13.html">
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SRC="up.png"></A>
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@@ -1,4 +1,4 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Order of execution and lower limits on delay times</TITLE>
<META NAME="description" CONTENT="Order of execution and lower limits on delay times">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<A NAME="tex2html2347"
HREF="node121.html">
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SRC="index.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html2348"
HREF="node121.html">Order of execution in</A>
@@ -306,23 +310,23 @@ seems to be older. It shows up for example in Paul Lansky's 1979 piece,
<A NAME="tex2html2347"
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HREF="node121.html">Order of execution in</A>

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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Order of execution in non-recirculating delay lines</TITLE>
<META NAME="description" CONTENT="Order of execution in non-recirculating delay lines">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
<B> Next:</B> <A NAME="tex2html2362"
HREF="node122.html">Non-recirculating comb filter as</A>
@@ -124,23 +128,23 @@ delays below the 64 sample block size.
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Non-recirculating comb filter as octave doubler</TITLE>
<META NAME="description" CONTENT="Non-recirculating comb filter as octave doubler">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
<B> Next:</B> <A NAME="tex2html2376"
HREF="node123.html">Time-varying complex comb filter:</A>
@@ -164,23 +168,23 @@ up-shifting for best results.)
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Time-varying complex comb filter: shakers</TITLE>
<META NAME="description" CONTENT="Time-varying complex comb filter: shakers">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<B> Next:</B> <A NAME="tex2html2390"
HREF="node124.html">Reverberator</A>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Reverberator</TITLE>
<META NAME="description" CONTENT="Reverberator">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
<B> Next:</B> <A NAME="tex2html2404"
HREF="node125.html">Pitch shifter</A>
@@ -140,23 +144,23 @@ sonic qualities described as ``presence", ``warmth", ``clarity", and so on.
<A NAME="tex2html2403"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Pitch shifter</TITLE>
<META NAME="description" CONTENT="Pitch shifter">
<META NAME="keywords" CONTENT="book">
@@ -28,23 +32,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<B> Next:</B> <A NAME="tex2html2416"
HREF="node126.html">Exercises</A>
@@ -114,7 +118,7 @@ head rotation speed" is the same as the formula for <IMG
SRC="img112.png"
ALT="$f$"> given on Page
<A HREF="node115.html#sect7.psformula"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>. Here the positive interval (seven half-steps)
SRC="crossref.png"></A>. Here the positive interval (seven half-steps)
gives rise to a transposition factor greater than one, and therefore to a
negative value for <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
@@ -129,7 +133,7 @@ Once <IMG
the corresponding envelopes parallels exactly that of
the overlapping sample looper (example B10.sampler.overlap.pd, Page
<A HREF="node37.html#sect2.example.overlap"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>). The minimum delay
SRC="crossref.png"></A>). The minimum delay
is added to each of the two sawtooth signals to make delay inputs for the
<TT>vd~</TT> objects, whose outputs are multiplied by the corresponding
envelopes and summed.
@@ -140,23 +144,23 @@ envelopes and summed.
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Exercises</TITLE>
<META NAME="description" CONTENT="Exercises">
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<B> Next:</B> <A NAME="tex2html2428"
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<TITLE>Filters</TITLE>
<META NAME="description" CONTENT="Filters">
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original version by: Nikos Drakos, CBLU, University of Leeds
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original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<TITLE>One-pole low-pass filter</TITLE>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<B> Next:</B> <A NAME="tex2html2858"
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<B> Next:</B> <A NAME="tex2html2932"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<!DOCTYPE html>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Quick Introduction to Pd</TITLE>
<META NAME="description" CONTENT="Quick Introduction to Pd">
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<B> Next:</B> <A NAME="tex2html780"
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@@ -172,23 +176,23 @@ and ``<TT>osc~</TT>".
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<B> Next:</B> <A NAME="tex2html780"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
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<TITLE>Using elementary filters directly: shelving and peaking</TITLE>
<META NAME="description" CONTENT="Using elementary filters directly: shelving and peaking">
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<B> Next:</B> <A NAME="tex2html2960"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
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<TITLE>Making and using all-pass filters</TITLE>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<B> Next:</B> <A NAME="tex2html2984"
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@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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@@ -72,7 +76,7 @@ Among the applications of filters discussed in Chapter <A HREF="node127.html#cha
saw how to use heterodyning, combined with a low-pass filter, to find the
amplitude and phase of a sinusoidal component of a signal (Page
<A HREF="node158.html#sect8.heterodyning"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>). In this chapter we will refine this technique
SRC="crossref.png"></A>). In this chapter we will refine this technique
into what is called
<A NAME="12298"></A><I>Fourier analysis</I>.
In its simplest form, Fourier analysis takes as input any periodic

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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Fourier analysis of periodic signals</TITLE>
<META NAME="description" CONTENT="Fourier analysis of periodic signals">
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original version by: Nikos Drakos, CBLU, University of Leeds
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<!DOCTYPE html>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<TITLE>Fourier transform of a sinusoid</TITLE>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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@@ -88,7 +92,7 @@ sinusoid were better localized around the corresponding value of <IMG
ALT="$k$">. We
can accomplish this using the enveloping technique first introduced in Figure
<A HREF="node29.html#fig02.07">2.7</A> (Page <A HREF="node29.html#fig02.07"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="file:/usr/local/share/lib/latex2html/icons/crossref.png"></A>). Applying this technique to Fourier
SRC="crossref.png"></A>). Applying this technique to Fourier
analysis will not only improve our analyses, but will also shed new light on
the enveloping looping sampler of Chapter 2.
@@ -506,23 +510,23 @@ four-period rule may be relaxed to three or even slightly less.
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Fourier analysis and reconstruction of audio signals</TITLE>
<META NAME="description" CONTENT="Fourier analysis and reconstruction of audio signals">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<B> Next:</B> <A NAME="tex2html3145"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Narrow-band companding</TITLE>
<META NAME="description" CONTENT="Narrow-band companding">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
<B> Next:</B> <A NAME="tex2html3161"
HREF="node174.html">Timbre stamping (classical vocoder)</A>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Timbre stamping (classical vocoder)</TITLE>
<META NAME="description" CONTENT="Timbre stamping (classical vocoder)">
<META NAME="keywords" CONTENT="book">
@@ -28,23 +32,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BR>
<B> Next:</B> <A NAME="tex2html3173"
HREF="node175.html">Phase</A>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Phase</TITLE>
<META NAME="description" CONTENT="Phase">
<META NAME="keywords" CONTENT="book">
@@ -29,23 +33,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<B> Next:</B> <A NAME="tex2html3187"
HREF="node176.html">Phase relationships between channels</A>
@@ -530,23 +534,23 @@ S[m, k] \; = \;
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Phase relationships between channels</TITLE>
<META NAME="description" CONTENT="Phase relationships between channels">
<META NAME="keywords" CONTENT="book">
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<BR>
<B> Next:</B> <A NAME="tex2html3200"
HREF="node177.html">Phase bashing</A>
@@ -373,23 +377,23 @@ same phase, as long as the phase relationships between the measured spectra
<A NAME="tex2html3199"
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<TITLE>Phase bashing</TITLE>
<META NAME="description" CONTENT="Phase bashing">
<META NAME="keywords" CONTENT="book">
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<B> Next:</B> <A NAME="tex2html3214"
HREF="node178.html">Examples</A>
@@ -129,23 +133,23 @@ powerful tools for vocal and other imitative synthesis.
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<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<B> Next:</B> <A NAME="tex2html3246"
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@@ -247,23 +251,23 @@ Blocking delay does not depend on overlap, only on block sizes.
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original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
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<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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@@ -228,23 +232,23 @@ from any other one.)
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<!DOCTYPE html>
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
original version by: Nikos Drakos, CBLU, University of Leeds
@@ -7,6 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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@@ -131,23 +135,23 @@ unchanged, and values in between give a smooth interpolation between the two.
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