Hartley transform

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Hartley transform

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(mathematics)
An analog of the Fourier transform for finite, real-valued data sets; for a function ƒ defined at N data values, 0, 1, 2, …, N - 1, the Hartley transform is a function, F, also defined on the set (0, 1, 2, …, N - 1), whose value at n is the sum over the variable r, from 0 through N - 1, of the quantity N -1 f (r) cas (2π nr / N), where cas θ=cosθ+sinθ.
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