replace '<A NAME=' with '<A ID='

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2022-04-12 23:32:40 -03:00
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@@ -30,43 +30,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<BODY >
<!--Navigation Panel-->
<A NAME="tex2html2997"
<A ID="tex2html2997"
HREF="node164.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"
SRC="next.png"></A>
<A NAME="tex2html2991"
<A ID="tex2html2991"
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SRC="up.png"></A>
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<IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index"
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<BR>
<B> Next:</B> <A NAME="tex2html2998"
<B> Next:</B> <A ID="tex2html2998"
HREF="node164.html">Fourier analysis of periodic</A>
<B> Up:</B> <A NAME="tex2html2992"
<B> Up:</B> <A ID="tex2html2992"
HREF="book.html">book</A>
<B> Previous:</B> <A NAME="tex2html2986"
<B> Previous:</B> <A ID="tex2html2986"
HREF="node162.html">Exercises</A>
&nbsp; <B> <A NAME="tex2html2994"
&nbsp; <B> <A ID="tex2html2994"
HREF="node4.html">Contents</A></B>
&nbsp; <B> <A NAME="tex2html2996"
&nbsp; <B> <A ID="tex2html2996"
HREF="node201.html">Index</A></B>
<BR>
<BR>
<!--End of Navigation Panel-->
<H1><A NAME="SECTION001300000000000000000"></A>
<A NAME="chapter-fourier"></A><A NAME="chapter-fft"></A>
<H1><A ID="SECTION001300000000000000000"></A>
<A ID="chapter-fourier"></A><A ID="chapter-fft"></A>
<BR>
Fourier analysis and resynthesis
</H1>
@@ -78,7 +78,7 @@ amplitude and phase of a sinusoidal component of a signal (Page
<A HREF="node158.html#sect8.heterodyning"><IMG ALIGN="BOTTOM" BORDER="1" ALT="[*]"
SRC="crossref.png"></A>). In this chapter we will refine this technique
into what is called
<A NAME="12298"></A><I>Fourier analysis</I>.
<A ID="12298"></A><I>Fourier analysis</I>.
In its simplest form, Fourier analysis takes as input any periodic
signal (of period <IMG
WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
@@ -104,63 +104,63 @@ Finally, we will develop some standard applications such as the phase vocoder.
<P>
<BR><HR>
<!--Table of Child-Links-->
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
<A ID="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
<UL>
<LI><A NAME="tex2html2999"
<LI><A ID="tex2html2999"
HREF="node164.html">Fourier analysis of periodic signals</A>
<UL>
<LI><A NAME="tex2html3000"
<LI><A ID="tex2html3000"
HREF="node165.html">Periodicity of the Fourier transform</A>
<LI><A NAME="tex2html3001"
<LI><A ID="tex2html3001"
HREF="node166.html">Fourier transform as additive synthesis</A>
</UL>
<BR>
<LI><A NAME="tex2html3002"
<LI><A ID="tex2html3002"
HREF="node167.html">Properties of Fourier transforms</A>
<UL>
<LI><A NAME="tex2html3003"
<LI><A ID="tex2html3003"
HREF="node168.html">Fourier transform of DC</A>
<LI><A NAME="tex2html3004"
<LI><A ID="tex2html3004"
HREF="node169.html">Shifts and phase changes</A>
<LI><A NAME="tex2html3005"
<LI><A ID="tex2html3005"
HREF="node170.html">Fourier transform of a sinusoid</A>
</UL>
<BR>
<LI><A NAME="tex2html3006"
<LI><A ID="tex2html3006"
HREF="node171.html">Fourier analysis of non-periodic signals</A>
<LI><A NAME="tex2html3007"
<LI><A ID="tex2html3007"
HREF="node172.html">Fourier analysis and reconstruction of audio signals</A>
<UL>
<LI><A NAME="tex2html3008"
<LI><A ID="tex2html3008"
HREF="node173.html">Narrow-band companding</A>
<LI><A NAME="tex2html3009"
<LI><A ID="tex2html3009"
HREF="node174.html">Timbre stamping (classical vocoder)</A>
</UL>
<BR>
<LI><A NAME="tex2html3010"
<LI><A ID="tex2html3010"
HREF="node175.html">Phase</A>
<UL>
<LI><A NAME="tex2html3011"
<LI><A ID="tex2html3011"
HREF="node176.html">Phase relationships between channels</A>
</UL>
<BR>
<LI><A NAME="tex2html3012"
<LI><A ID="tex2html3012"
HREF="node177.html">Phase bashing</A>
<LI><A NAME="tex2html3013"
<LI><A ID="tex2html3013"
HREF="node178.html">Examples</A>
<UL>
<LI><A NAME="tex2html3014"
<LI><A ID="tex2html3014"
HREF="node179.html">Fourier analysis and resynthesis in Pd</A>
<LI><A NAME="tex2html3015"
<LI><A ID="tex2html3015"
HREF="node180.html">Narrow-band companding: noise suppression</A>
<LI><A NAME="tex2html3016"
<LI><A ID="tex2html3016"
HREF="node181.html">Timbre stamp ("vocoder")</A>
<LI><A NAME="tex2html3017"
<LI><A ID="tex2html3017"
HREF="node182.html">Phase vocoder time bender</A>
</UL>
<BR>
<LI><A NAME="tex2html3018"
<LI><A ID="tex2html3018"
HREF="node183.html">Exercises</A>
</UL>
<!--End of Table of Child-Links-->