# Hartley transform

(redirected from*Continuous Hartley transform*)

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## 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.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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