The Fourier cosine transform of a real function is the real part of the full complex Fourier transform,
(1)
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(2)
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The Fourier cosine transform of a function is implemented as FourierCosTransform[f, x, k], and different choices of and can be used by passing the optional FourierParameters -> a, b option. In this work, and .
The discrete Fourier cosine transform of a list of real numbers can be computed in the Wolfram Language using FourierDCT[l].