Tracking analysis of a constrained adaptive notch filter

Peter Handel; Arye Nehorai

doi:10.1109/icassp.1991.150138

Tracking analysis of a constrained adaptive notch filter

Peter Handel
, Arye Nehorai

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

The asymptotic tracking properties of an adaptive notch filter with pole-zeros constraints for the cancellation or retrieval of multiple time-varying sine waves in an additive noise are analyzed. The methods of Ljung and Gunnarsson (see Automatica, vol. 26, no. 1, pp. 7-21, Jan. 1990) are used in order to analyze the asymptotic mean-square parameter error, when the variations in the underlying frequencies and the gain of the algorithm are assumed to be sufficiently small. A closed-form expression for the mean square error (MSE) is derived as a function of the tuning variables of the algorithm. The results give insight into the operational properties of the algorithm and are used in order to minimize the MSE with respect to the tuning variables.

Original language	English
Title of host publication	Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Publisher	Publ by IEEE
Pages	3209-3212
Number of pages	4
ISBN (Print)	0780300033
DOIs	https://doi.org/10.1109/icassp.1991.150138
State	Published - 1991
Event	Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 - Toronto, Ont, Can Duration: May 14 1991 → May 17 1991

Publication series

Name	Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Volume	5
ISSN (Print)	0736-7791

Conference

Conference	Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91
City	Toronto, Ont, Can
Period	05/14/91 → 05/17/91

Access to Document

10.1109/icassp.1991.150138

Cite this

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title = "Tracking analysis of a constrained adaptive notch filter",

abstract = "The asymptotic tracking properties of an adaptive notch filter with pole-zeros constraints for the cancellation or retrieval of multiple time-varying sine waves in an additive noise are analyzed. The methods of Ljung and Gunnarsson (see Automatica, vol. 26, no. 1, pp. 7-21, Jan. 1990) are used in order to analyze the asymptotic mean-square parameter error, when the variations in the underlying frequencies and the gain of the algorithm are assumed to be sufficiently small. A closed-form expression for the mean square error (MSE) is derived as a function of the tuning variables of the algorithm. The results give insight into the operational properties of the algorithm and are used in order to minimize the MSE with respect to the tuning variables.",

author = "Peter Handel and Arye Nehorai",

year = "1991",

doi = "10.1109/icassp.1991.150138",

language = "English",

isbn = "0780300033",

series = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",

publisher = "Publ by IEEE",

pages = "3209--3212",

booktitle = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",

note = "Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 ; Conference date: 14-05-1991 Through 17-05-1991",

}

Handel, P & Nehorai, A 1991, Tracking analysis of a constrained adaptive notch filter. in Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 5, Publ by IEEE, pp. 3209-3212, Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91, Toronto, Ont, Can, 05/14/91. https://doi.org/10.1109/icassp.1991.150138

Tracking analysis of a constrained adaptive notch filter. / Handel, Peter; Nehorai, Arye.
Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Publ by IEEE, 1991. p. 3209-3212 (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Handel, Peter

AU - Nehorai, Arye

PY - 1991

Y1 - 1991

N2 - The asymptotic tracking properties of an adaptive notch filter with pole-zeros constraints for the cancellation or retrieval of multiple time-varying sine waves in an additive noise are analyzed. The methods of Ljung and Gunnarsson (see Automatica, vol. 26, no. 1, pp. 7-21, Jan. 1990) are used in order to analyze the asymptotic mean-square parameter error, when the variations in the underlying frequencies and the gain of the algorithm are assumed to be sufficiently small. A closed-form expression for the mean square error (MSE) is derived as a function of the tuning variables of the algorithm. The results give insight into the operational properties of the algorithm and are used in order to minimize the MSE with respect to the tuning variables.

AB - The asymptotic tracking properties of an adaptive notch filter with pole-zeros constraints for the cancellation or retrieval of multiple time-varying sine waves in an additive noise are analyzed. The methods of Ljung and Gunnarsson (see Automatica, vol. 26, no. 1, pp. 7-21, Jan. 1990) are used in order to analyze the asymptotic mean-square parameter error, when the variations in the underlying frequencies and the gain of the algorithm are assumed to be sufficiently small. A closed-form expression for the mean square error (MSE) is derived as a function of the tuning variables of the algorithm. The results give insight into the operational properties of the algorithm and are used in order to minimize the MSE with respect to the tuning variables.

UR - https://www.scopus.com/pages/publications/0026407919

U2 - 10.1109/icassp.1991.150138

DO - 10.1109/icassp.1991.150138

M3 - Conference contribution

AN - SCOPUS:0026407919

SN - 0780300033

T3 - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

SP - 3209

EP - 3212

BT - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

PB - Publ by IEEE

T2 - Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91

Y2 - 14 May 1991 through 17 May 1991

ER -

Tracking analysis of a constrained adaptive notch filter

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