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Some orthogonal functions which are linear combinations of square-wave functions

✍ Scribed by J.L. Sox; W.J. Harrington


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
354 KB
Volume
288
Category
Article
ISSN
0016-0032

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✦ Synopsis


Harnrnond and Johnson (1) have called attention to the potential usefulness of the Ham and Walsh functions in engineering applications.

In this note two other systems of orthogonal function8 are described which are jinite linear combination8 of square-wave functions. These function8 have the same applicability as those of Haar and Walsh.


πŸ“œ SIMILAR VOLUMES


A review of orthogonal square-wave funct
✍ J.L. Hammond Jr.; R.S. Johnson πŸ“‚ Article πŸ“… 1962 πŸ› Elsevier Science 🌐 English βš– 591 KB

Attention is called to the Haar and Walsh functions as being potentially useful in engineering applications. The Walsh functions have a single magnitude with either a positive or negative sign in the range of definition. Each member of the Haar family also has a single magnitude although this magnit

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✍ P.G. Moschopoulos; W.B. Canada πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 278 KB

The distribution function of a linear combination of independent central chi-square random variables is obtained in a straightfoward manner by inverting the moment generating function. The distribution is expressed as an infinite gamma series whose terms can be computed efficiently to a sufficient d