Unified algorithm to generate Walsh functions in four different orderings and its programmable hardware implementations (2005)
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BibTeX
@MISC{Falkowski05unifiedalgorithm,
author = {B.J. Falkowski and T. Sasao},
title = {Unified algorithm to generate Walsh functions in four different orderings and its programmable hardware implementations},
year = {2005}
}
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Abstract
This paper presents an algorithm to generate Walsh functions in four different orderings: Hadamard, Harmuth, Paley and strict sequency. By the analysis of the properties and mutual relations among these four orderings, the authors found a unified approach to generate any of the orderings from the primary set of Rademacher functions. By using these properties, the authors developed a programmable Walsh function generator for 64 outputs by both field programmable gate arrays and lookup table cascades to estimate the amount of hardware and performance. Such a programmable Walsh function generator can be used in VLSI testing, CDMA, pattern recognition, as well as image and signal processing.
