The Fourier cosine transform is the real part of the full complex Fourier
transform,
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 Mathematica
using FourierDCT[l].
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "FFT of Real Functions, Sine and Cosine Transforms." §12.3 in Numerical
Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England:
Cambridge University Press, pp. 504-515, 1992.
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