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Computational Structure For The Walsh-Hadamard Transform

George M. Chaikin

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Abstract

The computation of a two dimensional Walsh-Hadamard Transform using a two dimensional perfect shuffle is described. A simple, repetitive computational unit for parallel processing, each of which performs a local Walsh-Hadamard Transform, is then combined with an interconnection network which performs a two dimensional perfect shuffle of an N x N array. After log2N repetitions, the N xN Walsh-Hadamard Transform is obtained.

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What this paper is about

The computation of a two dimensional Walsh-Hadamard Transform using a two dimensional perfect shuffle is described. A simple, repetitive computational unit for parallel processing, each of which performs a local Walsh-Hadamard Transform, is then combined with an interconnection network which performs a two dimensional perfect shuffle of an N x N array. After log2N repetitions, the N xN Walsh-Hadamard Transform is obtained.

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Available abstract

The computation of a two dimensional Walsh-Hadamard Transform using a two dimensional perfect shuffle is described. A simple, repetitive computational unit for parallel processing, each of which performs a local Walsh-Hadamard Transform, is then combined with an interconnection network which performs a two dimensional perfect shuffle of an N x N array. After log2N repetitions, the N xN Walsh-Hadamard Transform is obtained.

Key concepts: Hadamard transform, Hadamard code, Walsh function, Computer science, Algorithm, Computation, Simple (philosophy), Discrete mathematics

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