replace '<A NAME=' with '<A ID='
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node171.html
52
node171.html
@@ -30,42 +30,42 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<BODY >
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<!--Navigation Panel-->
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<A NAME="tex2html3130"
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<A ID="tex2html3130"
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HREF="node172.html">
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<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"
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SRC="next.png"></A>
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<A NAME="tex2html3124"
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<A ID="tex2html3124"
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HREF="node163.html">
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<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"
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SRC="up.png"></A>
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<A NAME="tex2html3118"
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<A ID="tex2html3118"
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HREF="node170.html">
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<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous"
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SRC="prev.png"></A>
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<A NAME="tex2html3126"
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<A ID="tex2html3126"
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HREF="node4.html">
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents"
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SRC="contents.png"></A>
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<A NAME="tex2html3128"
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<A ID="tex2html3128"
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HREF="node201.html">
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<IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index"
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SRC="index.png"></A>
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<BR>
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<B> Next:</B> <A NAME="tex2html3131"
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<B> Next:</B> <A ID="tex2html3131"
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HREF="node172.html">Fourier analysis and reconstruction</A>
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<B> Up:</B> <A NAME="tex2html3125"
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<B> Up:</B> <A ID="tex2html3125"
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HREF="node163.html">Fourier analysis and resynthesis</A>
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<B> Previous:</B> <A NAME="tex2html3119"
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<B> Previous:</B> <A ID="tex2html3119"
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HREF="node170.html">Fourier transform of a</A>
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<B> <A NAME="tex2html3127"
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<B> <A ID="tex2html3127"
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HREF="node4.html">Contents</A></B>
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<B> <A NAME="tex2html3129"
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<B> <A ID="tex2html3129"
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HREF="node201.html">Index</A></B>
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<BR>
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<BR>
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<!--End of Navigation Panel-->
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<H1><A NAME="SECTION001330000000000000000">
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<H1><A ID="SECTION001330000000000000000">
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Fourier analysis of non-periodic signals</A>
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</H1>
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@@ -110,12 +110,12 @@ Given a signal <IMG
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ALT="$N-1$">,
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the technique is to envelope the signal before doing the Fourier analysis.
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The envelope shape is known as a
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<A NAME="12499"></A><I>window function</I>.
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<A ID="12499"></A><I>window function</I>.
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Given a window function <IMG
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WIDTH="33" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
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SRC="img1123.png"
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ALT="$w[n]$">, the
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<A NAME="12501"></A><I>windowed Fourier transform</I>
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<A ID="12501"></A><I>windowed Fourier transform</I>
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is:
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<BR><P></P>
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<DIV ALIGN="CENTER">
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@@ -136,7 +136,7 @@ is:
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<P></P>
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Much ink has been spilled over the design of suitable window functions for
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particular situations, but here we will consider the simplest one, named the
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<A NAME="12504"></A><A NAME="12505"></A><I>Hann</I>
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<A ID="12504"></A><A ID="12505"></A><I>Hann</I>
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window function (the name is sometimes corrupted to "Hanning" in DSP circles).
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The Hann window is:
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<BR><P></P>
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@@ -302,7 +302,7 @@ Dirichlet kernel components are also shown separately.
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig09.05"></A><A NAME="12536"></A>
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<DIV ALIGN="CENTER"><A ID="fig09.05"></A><A ID="12536"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 9.5:</STRONG>
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The magnitude M(k) of the Fourier transform of the Hann
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@@ -450,7 +450,7 @@ Reducing the amplitude of the sidelobes reduces this interference.
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig09.06"></A><A NAME="12558"></A>
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<DIV ALIGN="CENTER"><A ID="fig09.06"></A><A ID="12558"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 9.6:</STRONG>
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The Hann-windowed Fourier transform of a signal with two
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@@ -507,36 +507,36 @@ four-period rule may be relaxed to three or even slightly less.
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<P>
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<HR>
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<!--Navigation Panel-->
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<A NAME="tex2html3130"
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<A ID="tex2html3130"
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HREF="node172.html">
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<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next"
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SRC="next.png"></A>
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<A NAME="tex2html3124"
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<A ID="tex2html3124"
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HREF="node163.html">
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<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up"
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SRC="up.png"></A>
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<A NAME="tex2html3118"
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<A ID="tex2html3118"
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HREF="node170.html">
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<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous"
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SRC="prev.png"></A>
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<A NAME="tex2html3126"
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<A ID="tex2html3126"
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HREF="node4.html">
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents"
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SRC="contents.png"></A>
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<A NAME="tex2html3128"
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<A ID="tex2html3128"
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HREF="node201.html">
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<IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index"
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SRC="index.png"></A>
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<BR>
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<B> Next:</B> <A NAME="tex2html3131"
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<B> Next:</B> <A ID="tex2html3131"
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HREF="node172.html">Fourier analysis and reconstruction</A>
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<B> Up:</B> <A NAME="tex2html3125"
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<B> Up:</B> <A ID="tex2html3125"
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HREF="node163.html">Fourier analysis and resynthesis</A>
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<B> Previous:</B> <A NAME="tex2html3119"
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<B> Previous:</B> <A ID="tex2html3119"
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HREF="node170.html">Fourier transform of a</A>
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<B> <A NAME="tex2html3127"
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<B> <A ID="tex2html3127"
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HREF="node4.html">Contents</A></B>
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<B> <A NAME="tex2html3129"
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<B> <A ID="tex2html3129"
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HREF="node201.html">Index</A></B>
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<!--End of Navigation Panel-->
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<ADDRESS>
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