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Discrete cosine transform

The type-II discrete cosine transform of

x_{0}, \dots, x_{N - 1}

is

Z_{k} = \sum_{n = 0}^{N - 1} x_{n} cos (\frac{π}{N} (n + \frac{1}{2}) k) .

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- Discrete cosine transform from an even-reflected discrete Fourier transform Discrete cosine transform 39

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