replace '<A NAME=' with '<A ID='
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56
node8.html
56
node8.html
@@ -30,50 +30,50 @@ 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="tex2html665"
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<A ID="tex2html665"
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HREF="node9.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="tex2html659"
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<A ID="tex2html659"
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HREF="node7.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="tex2html653"
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<A ID="tex2html653"
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HREF="node7.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="tex2html661"
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<A ID="tex2html661"
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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="tex2html663"
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<A ID="tex2html663"
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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="tex2html666"
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<B> Next:</B> <A ID="tex2html666"
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HREF="node9.html">Units of Amplitude</A>
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<B> Up:</B> <A NAME="tex2html660"
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<B> Up:</B> <A ID="tex2html660"
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HREF="node7.html">Sinusoids, amplitude and frequency</A>
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<B> Previous:</B> <A NAME="tex2html654"
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<B> Previous:</B> <A ID="tex2html654"
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HREF="node7.html">Sinusoids, amplitude and frequency</A>
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<B> <A NAME="tex2html662"
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<B> <A ID="tex2html662"
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HREF="node4.html">Contents</A></B>
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<B> <A NAME="tex2html664"
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<B> <A ID="tex2html664"
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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="SECTION00510000000000000000"></A>
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<A NAME="sect1.amplitude"></A>
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<H1><A ID="SECTION00510000000000000000"></A>
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<A ID="sect1.amplitude"></A>
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<BR>
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Measures of Amplitude
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</H1>
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<P>
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The most fundamental property of a digital audio signal is its
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<A NAME="1038"></A>amplitude. Unfortunately, a signal's amplitude has no one canonical
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<A ID="1038"></A>amplitude. Unfortunately, a signal's amplitude has no one canonical
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definition.
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Strictly speaking, all the samples in a digital audio signal are themselves
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amplitudes, and we also spoke of the amplitude <IMG
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@@ -83,7 +83,7 @@ amplitudes, and we also spoke of the amplitude <IMG
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It is useful to have measures
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of amplitude for digital audio signals in general. Amplitude
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is best thought of as applying to a
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<A NAME="1039"></A><I>window</I>, a fixed range of samples of the signal. For instance, the
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<A ID="1039"></A><I>window</I>, a fixed range of samples of the signal. For instance, the
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window starting at sample <IMG
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WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img86.png"
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@@ -113,7 +113,7 @@ x[M], x[M+1], \ldots, x[M+N-1]
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<BR CLEAR="ALL">
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<P></P>
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The two most frequently used measures of amplitude are the
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<A NAME="1041"></A><A NAME="1042"></A><I>peak amplitude</I>, which is simply the greatest sample (in absolute value)
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<A ID="1041"></A><A ID="1042"></A><I>peak amplitude</I>, which is simply the greatest sample (in absolute value)
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over the window:
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<BR><P></P>
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<DIV ALIGN="CENTER">
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@@ -135,7 +135,7 @@ over the window:
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<BR CLEAR="ALL">
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<P></P>
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and the
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<A NAME="1046"></A><I>root mean square</I> (RMS) amplitude:
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<A ID="1046"></A><I>root mean square</I> (RMS) amplitude:
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<BR><P></P>
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<DIV ALIGN="CENTER">
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<!-- MATH
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@@ -157,7 +157,7 @@ where <IMG
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WIDTH="59" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
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SRC="img90.png"
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ALT="$P\{x[n]\}$"> is the mean
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<A NAME="1050"></A><I>power</I>, defined as:
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<A ID="1050"></A><I>power</I>, defined as:
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<BR><P></P>
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<DIV ALIGN="CENTER">
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<!-- MATH
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@@ -198,7 +198,7 @@ never less than that.
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig01.02"></A><A NAME="1059"></A>
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<DIV ALIGN="CENTER"><A ID="fig01.02"></A><A ID="1059"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 1.2:</STRONG>
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Root mean square (RMS) and peak amplitudes of signals compared.
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@@ -232,36 +232,36 @@ of two digital audio signals.
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<P>
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<HR>
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<!--Navigation Panel-->
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<A NAME="tex2html665"
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<A ID="tex2html665"
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HREF="node9.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="tex2html659"
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<A ID="tex2html659"
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HREF="node7.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="tex2html653"
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<A ID="tex2html653"
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HREF="node7.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="tex2html661"
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<A ID="tex2html661"
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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="tex2html663"
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<A ID="tex2html663"
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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="tex2html666"
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<B> Next:</B> <A ID="tex2html666"
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HREF="node9.html">Units of Amplitude</A>
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<B> Up:</B> <A NAME="tex2html660"
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<B> Up:</B> <A ID="tex2html660"
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HREF="node7.html">Sinusoids, amplitude and frequency</A>
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<B> Previous:</B> <A NAME="tex2html654"
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<B> Previous:</B> <A ID="tex2html654"
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HREF="node7.html">Sinusoids, amplitude and frequency</A>
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<B> <A NAME="tex2html662"
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<B> <A ID="tex2html662"
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HREF="node4.html">Contents</A></B>
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<B> <A NAME="tex2html664"
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<B> <A ID="tex2html664"
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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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