An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design

Mohammad Ali Masnadi-Shirazi; Amin Zollanvari

An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design

Mohammad Ali Masnadi-Shirazi, Amin Zollanvari

Department of Electrical and Computer Engineering

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

2 Citations (Scopus)

Abstract

This paper is concerned with the design of peak constrained weighted least square error (PCWLSE) FIR filters. Successive use of Caratheodory's theorem and Farkas' lema leads us to a new approach which is an extended ε-perturbation method to solve the resultant semi-infinite quadratic optimization problems of this type of filter design. The approach does not need the calculation of Lagrange multipliers which may require the inversion of ill-conditioned matrixes, The new proposed method is able to deal with design of both symmetric and asymmetric FIR filters. The computational procedure is illustrated by solving an example.

Original language	English
Title of host publication	2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings
Pages	III580-III583
Publication status	Published - Dec 1 2006
Event	2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006 - Toulouse, France Duration: May 14 2006 → May 19 2006

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
ISSN (Print)	1520-6149

Other

Other	2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006
Country	France
City	Toulouse
Period	5/14/06 → 5/19/06

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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Masnadi-Shirazi, M. A., & Zollanvari, A. (2006). An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design. In 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings (pp. III580-III583). [1660720] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3).

An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design. / Masnadi-Shirazi, Mohammad Ali; Zollanvari, Amin.

2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings. 2006. p. III580-III583 1660720 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3).

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

Masnadi-Shirazi, MA & Zollanvari, A 2006, An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design. in 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings., 1660720, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 3, pp. III580-III583, 2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006, Toulouse, France, 5/14/06.

Masnadi-Shirazi MA, Zollanvari A. An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design. In 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings. 2006. p. III580-III583. 1660720. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

Masnadi-Shirazi, Mohammad Ali ; Zollanvari, Amin. / An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design. 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings. 2006. pp. III580-III583 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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