Sufficient Excitation and Stable Reduced-Order Adaptive IIR Filtering

C. Richard Johnson; B. D.O. Anderson

doi:10.1109/TASSP.1981.1163701

Sufficient Excitation and Stable Reduced-Order Adaptive IIR Filtering

C. Richard Johnson^*, B. D.O. Anderson

^*Corresponding author for this work

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

14 Citations (Scopus)

Abstract

A perturbed error system is used to describe the parameter and output error behaviors of reduced-order application of adaptive identifier/filters such as the hyperstable adaptive recursive filter (HARF). Given satisfaction of a sufficient excitation condition, this error system is shown to exhibit a bounded-input, bounded-state (BIBS) property. This implies that, despite order insufficiency, the output and parameter estimates of HARF (and similar adaptive identifier/filter algorithms) remain bounded.

Original language	English
Pages (from-to)	1212-1215
Number of pages	4
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	29
Issue number	6
DOIs	https://doi.org/10.1109/TASSP.1981.1163701
Publication status	Published - Dec 1981
Externally published	Yes

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title = "Sufficient Excitation and Stable Reduced-Order Adaptive IIR Filtering",

abstract = "A perturbed error system is used to describe the parameter and output error behaviors of reduced-order application of adaptive identifier/filters such as the hyperstable adaptive recursive filter (HARF). Given satisfaction of a sufficient excitation condition, this error system is shown to exhibit a bounded-input, bounded-state (BIBS) property. This implies that, despite order insufficiency, the output and parameter estimates of HARF (and similar adaptive identifier/filter algorithms) remain bounded.",

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AU - Anderson, B. D.O.

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AB - A perturbed error system is used to describe the parameter and output error behaviors of reduced-order application of adaptive identifier/filters such as the hyperstable adaptive recursive filter (HARF). Given satisfaction of a sufficient excitation condition, this error system is shown to exhibit a bounded-input, bounded-state (BIBS) property. This implies that, despite order insufficiency, the output and parameter estimates of HARF (and similar adaptive identifier/filter algorithms) remain bounded.

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M3 - Article

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ER -

Sufficient Excitation and Stable Reduced-Order Adaptive IIR Filtering

Abstract

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