Walsh function
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 functions; 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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External links
- http://mathworld.wolfram.com/WalshFunction.html
- http://sepwww.stanford.edu/public/docs/sep70/carlos1/paper_html/node5.html
Referenced By
List of mathematical topics (V-Z)
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