Design of stable allpass filters with prescribed phase characteristics

Unnikrishna Pillai, Won Cheol Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper addresses the problem of obtaining all stable allpass filters that match the given phase characteristics in an optimal manner. In this context, it is shown here that the class of all stable allpass systems, that match the associated partial impulse response sequence can be parameterized using the theory of bounded functions. The above parameterization is utilized here to design stable allpass filters with prescribed phase responses. The given phase characteristics is first utilized to obtain its partial impulse response sequence and a parametric form of all stable allpass functions, and a least mean square procedure is then employed on its phase characteristics for further optimality. As a part of our analysis, it is also shown here that there are no stable allpass solutions in the sense of classical Pade approximation.

Original languageEnglish (US)
Title of host publicationIEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings
PublisherIEEE
Pages391-394
Number of pages4
StatePublished - 1995
EventProceedings of the 1995 IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Victoria, BC, Can
Duration: May 17 1995May 19 1995

Other

OtherProceedings of the 1995 IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing
CityVictoria, BC, Can
Period5/17/955/19/95

Fingerprint

Impulse response
Parameterization

ASJC Scopus subject areas

  • Signal Processing

Cite this

Pillai, U., & Lee, W. C. (1995). Design of stable allpass filters with prescribed phase characteristics. In IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings (pp. 391-394). IEEE.

Design of stable allpass filters with prescribed phase characteristics. / Pillai, Unnikrishna; Lee, Won Cheol.

IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings. IEEE, 1995. p. 391-394.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Pillai, U & Lee, WC 1995, Design of stable allpass filters with prescribed phase characteristics. in IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings. IEEE, pp. 391-394, Proceedings of the 1995 IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing, Victoria, BC, Can, 5/17/95.
Pillai U, Lee WC. Design of stable allpass filters with prescribed phase characteristics. In IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings. IEEE. 1995. p. 391-394
Pillai, Unnikrishna ; Lee, Won Cheol. / Design of stable allpass filters with prescribed phase characteristics. IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing - Proceedings. IEEE, 1995. pp. 391-394
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