Some considerations of the discrete Fourier and Walsh-Hadamard transforms

In this Paper, we summarize a set of properties of the discrete Fourier transform (DFT) and compare them with corresponding properties of the Walsh-Hadamard transform (WHT) [see Table I]. It is hoped that such a summary will assist in observing the analogy between Walsh-Hadamard and discrete Fourier analyses for those who are relatively more familiar with the latter.