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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
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<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
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original version by: Nikos Drakos, CBLU, University of Leeds
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* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
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* with significant contributions from:
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<HTML>
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<HEAD>
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<TITLE>Properties of Fourier transforms</TITLE>
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<META NAME="description" CONTENT="Properties of Fourier transforms">
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HREF="node168.html">Fourier transform of DC</A>
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HREF="node163.html">Fourier analysis and resynthesis</A>
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HREF="node166.html">Fourier transform as additive</A>
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HREF="node4.html">Contents</A></B>
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HREF="node201.html">Index</A></B>
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<H1><A NAME="SECTION001320000000000000000">
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Properties of Fourier transforms</A>
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</H1>
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<P>
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In this section we will investigate what happens when we take the Fourier
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transform of a (complex) sinusoid. The simplest one is ``DC", the special
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sinusoid of frequency zero. After we derive the Fourier transform of that, we
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will develop some properties of Fourier transforms that allow us to apply the
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result to any other sinusoid.
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<P>
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<BR><HR>
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<!--Table of Child-Links-->
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<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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<UL>
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<LI><A NAME="tex2html3075"
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HREF="node168.html">Fourier transform of DC</A>
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<LI><A NAME="tex2html3076"
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HREF="node169.html">Shifts and phase changes</A>
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<LI><A NAME="tex2html3077"
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HREF="node170.html">Fourier transform of a sinusoid</A>
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</UL>
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<!--End of Table of Child-Links-->
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<BR><HR>
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<ADDRESS>
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Miller Puckette
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2006-12-30
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</ADDRESS>
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