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author | Chris Cannam |
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date | Wed, 20 Mar 2013 15:35:50 +0000 |
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3 <title>1d Discrete Hartley Transforms (DHTs) - FFTW 3.3.3</title> | |
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58 <h4 class="subsection">4.8.5 1d Discrete Hartley Transforms (DHTs)</h4> | |
59 | |
60 <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 | |
61 n computes a real array Y of the same size, where: | |
62 <center><img src="equation-dht.png" align="top">.</center> | |
63 | |
64 <p><a name="index-normalization-324"></a>FFTW computes an unnormalized transform, in that there is no coefficient | |
65 in front of the summation in the DHT. In other words, applying the | |
66 transform twice (the DHT is its own inverse) will multiply the input by | |
67 n. | |
68 | |
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