On relating discrete Fourier, sine, and symmetric cosine transforms
Okan K. Ersoy · IEEE Transactions on Acoustics Speech and Signal Processing · 1985
The relationship among a real formalism of the discrete Fourier transform, discrete sine transform, and discrete symmetric cosine transform is discussed. It is shown that the real formalism of the discrete Fourier transform is basically equivalent to the direct sum of the other two transforms, with modifications in the pre- and post-computations with the data vector.