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Add FFTW3
author Chris Cannam
date Wed, 20 Mar 2013 15:35:50 +0000
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+<html lang="en">
+<head>
+<title>1d Discrete Hartley Transforms (DHTs) - FFTW 3.3.3</title>
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+<a name="1d-Discrete-Hartley-Transforms-(DHTs)"></a>
+<a name="g_t1d-Discrete-Hartley-Transforms-_0028DHTs_0029"></a>
+<p>
+Next:&nbsp;<a rel="next" accesskey="n" href="Multi_002ddimensional-Transforms.html#Multi_002ddimensional-Transforms">Multi-dimensional Transforms</a>,
+Previous:&nbsp;<a rel="previous" accesskey="p" href="1d-Real_002dodd-DFTs-_0028DSTs_0029.html#g_t1d-Real_002dodd-DFTs-_0028DSTs_0029">1d Real-odd DFTs (DSTs)</a>,
+Up:&nbsp;<a rel="up" accesskey="u" href="What-FFTW-Really-Computes.html#What-FFTW-Really-Computes">What FFTW Really Computes</a>
+<hr>
+</div>
+
+<h4 class="subsection">4.8.5 1d Discrete Hartley Transforms (DHTs)</h4>
+
+<p><a name="index-discrete-Hartley-transform-322"></a><a name="index-DHT-323"></a>The discrete Hartley transform (DHT) of a 1d real array X of size
+n computes a real array Y of the same size, where:
+<center><img src="equation-dht.png" align="top">.</center>
+
+   <p><a name="index-normalization-324"></a>FFTW computes an unnormalized transform, in that there is no coefficient
+in front of the summation in the DHT.  In other words, applying the
+transform twice (the DHT is its own inverse) will multiply the input by
+n.
+
+<!-- =========> -->
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+