In mathematical analysis, the set of Walsh functions form an orthogonal basis of the square-integrable functions on the unit interval. The functions take the values -1 and 1 only, on sub-intervals defined by dyadic fractions. They are useful in electronics, and other engineering applications.
The Walsh functions are related to the Haar functionss; but form a complete orthogonal system, which the latter do not.
The order of the function is 2s, where s is an integer, meaning that there is 2s (time-)intervals in which the value is -1 or 1.
2s Potential function 1 ---------- 2 -----_____ 3 ---____--- 4 --__--__-- 5 -___--___- 6 -___-_---_Table of the first six orthogonal functions from the Walsh basis set.
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