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A Compact Definition of Walsh Functions
June 1972 (vol. 21 no. 6)
pp. 590-592
H. Butin, Telecommunications Division, Thomson-CSF, Gennevilliers, France.
A polynomial definition of the Walsh functions (very similar to that used by Titsworth [9] or Pearl [7]) is shown to be equivalent to Pichler-Harmuth's formulas [3]. It gives an easy way to derive some properties of Walsh functions, such as their relationship with the Gray code or the shifting theorem.
Citation:
H. Butin, "A Compact Definition of Walsh Functions," IEEE Transactions on Computers, vol. 21, no. 6, pp. 590-592, June 1972, doi:10.1109/TC.1972.5009014
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