Definition
Formally, the discrete Hartley transform is a linear, invertible function H : Rn -> Rn (where R denotes the set of real numbers). The N real numbers x0, ...., xN-1 are transformed into the N real numbers H0, ..., HN-1 according to the formula
.
The combination is sometimes denoted, and should be contrasted with the that appears in the DFT definition (where i is the imaginary unit).
As with the DFT, the overall scale factor in front of the transform and the sign of the sine term are a matter of convention. Although these conventions occasionally vary between authors, they do not affect the essential properties of the transform.
Read more about this topic: Discrete Hartley Transform
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