Hartley transform


Hartley transform

[ ] (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.