Chris@10: Chris@10: Chris@10: 1d Discrete Hartley Transforms (DHTs) - FFTW 3.3.3 Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10: Chris@10:
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4.8.5 1d Discrete Hartley Transforms (DHTs)

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The discrete Hartley transform (DHT) of a 1d real array X of size Chris@10: n computes a real array Y of the same size, where: Chris@10:

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FFTW computes an unnormalized transform, in that there is no coefficient Chris@10: in front of the summation in the DHT. In other words, applying the Chris@10: transform twice (the DHT is its own inverse) will multiply the input by Chris@10: n. Chris@10: Chris@10: Chris@10: Chris@10: