Characterizing and Enumerating Walsh-Hadamard Transform Algorithms
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We propose a way of characterizing the algorithms computing a Walsh-Hadamard transform that consist of a sequence of arrays of butterflies (I_2^n-1⊗DFT_2) interleaved by linear permutations. Linear permutations are those that map linearly the binary representation of its element indices. We also propose a method to enumerate these algorithms.
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