Orthogonal polynomial-based nonlinear adaptive filters

W. K. Jenkins; C. W. Therrien; X. Li

doi:10.1109/ACSSC.2001.987002

Orthogonal polynomial-based nonlinear adaptive filters

W. K. Jenkins, C. W. Therrien, X. Li

Research output: Contribution to journal › Article › peer-review

Abstract

For certain types of signals, such as white Gaussian signals, the Volterra series can be fully represented by orthogonal polynomials. With an orthogonal polynomial representation, all the nonlinear terms become statistically orthogonal with respect to each other. This allows less computationally complex adaptive algorithms to be developed for adaptive Volterra filters based on the orthogonal polynomial structure.

Original language	English (US)
Pages (from-to)	644-647
Number of pages	4
Journal	Conference Record of the Asilomar Conference on Signals, Systems and Computers
Volume	1
DOIs	https://doi.org/10.1109/ACSSC.2001.987002
State	Published - 2001

All Science Journal Classification (ASJC) codes

Signal Processing
Computer Networks and Communications

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10.1109/ACSSC.2001.987002

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title = "Orthogonal polynomial-based nonlinear adaptive filters",

abstract = "For certain types of signals, such as white Gaussian signals, the Volterra series can be fully represented by orthogonal polynomials. With an orthogonal polynomial representation, all the nonlinear terms become statistically orthogonal with respect to each other. This allows less computationally complex adaptive algorithms to be developed for adaptive Volterra filters based on the orthogonal polynomial structure.",

author = "Jenkins, {W. K.} and Therrien, {C. W.} and X. Li",

year = "2001",

doi = "10.1109/ACSSC.2001.987002",

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AU - Li, X.

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AB - For certain types of signals, such as white Gaussian signals, the Volterra series can be fully represented by orthogonal polynomials. With an orthogonal polynomial representation, all the nonlinear terms become statistically orthogonal with respect to each other. This allows less computationally complex adaptive algorithms to be developed for adaptive Volterra filters based on the orthogonal polynomial structure.

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JO - Conference Record of the Asilomar Conference on Signals, Systems and Computers

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ER -

Orthogonal polynomial-based nonlinear adaptive filters

Abstract

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