DocumentCode :
959222
Title :
A Compact Definition of Walsh Functions
Author :
Butin, H.
Author_Institution :
Telecommunications Division, Thomson-CSF, Gennevilliers, France.
Issue :
6
fYear :
1972
fDate :
6/1/1972 12:00:00 AM
Firstpage :
590
Lastpage :
592
Abstract :
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.
Keywords :
Binary codes; Polynomials; Reflective binary codes; Gray code; Rademacher functions; Walsh functions; sequency;
fLanguage :
English
Journal_Title :
Computers, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9340
Type :
jour
DOI :
10.1109/TC.1972.5009014
Filename :
5009014
Link To Document :
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