Discrete Sine Transform - Definition

Definition

Formally, the discrete sine transform is a linear, invertible function F : RN -> RN (where R denotes the set of real numbers), or equivalently an N × N square matrix. There are several variants of the DST with slightly modified definitions. The N real numbers x0, ...., xN-1 are transformed into the N real numbers X0, ..., XN-1 according to one of the formulas:

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