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

Mohammad Ali Masnadi-Shirazi, Amin Zollanvari

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume3
Publication statusPublished - 2006
Externally publishedYes
Event2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006 - Toulouse, France
Duration: May 14 2006May 19 2006

Other

Other2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006
CountryFrance
CityToulouse
Period5/14/065/19/06

Fingerprint

quadratic programming
Quadratic programming
FIR filters
filters
perturbation
Lagrange multipliers
theorems
inversions
optimization
matrices

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

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 ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 3). [1660720]

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

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 3 2006. 1660720.

Research output: Chapter in Book/Report/Conference proceedingConference 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 ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 3, 1660720, 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 ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 3. 2006. 1660720
Masnadi-Shirazi, Mohammad Ali ; Zollanvari, Amin. / An extended ε-perturbation method to the problem of semi-infinite quadratic programming in constrained fir filter design. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 3 2006.
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