Title :
A Compact Definition of Walsh Functions
Author_Institution :
Telecommunications Division, Thomson-CSF, Gennevilliers, France.
fDate :
6/1/1972 12:00:00 AM
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;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1972.5009014
