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arXiv · 1710.08029

Characterizing and Enumerating Walsh-Hadamard Transform Algorithms

François Serre·Markus Püschel
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Abstract

We propose a way of characterizing the algorithms computing a Walsh-Hadamard transform that consist of a sequence of arrays of butterflies ($I_{2^{n-1}}\otimes \text{DFT}_2$) 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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François Serre, Markus Püschel. 2017-10-22. Characterizing and Enumerating Walsh-Hadamard Transform Algorithms. https://arxiv.org/abs/1710.08029

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