Design of stable allpass filters with prescribed phase characteristics

S. Unnikrishna Pillai, Won Cheol Lee

Research output: Contribution to conferencePaper

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)
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

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

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    Pillai, S. U., & Lee, W. C. (1995). Design of stable allpass filters with prescribed phase characteristics. 391-394. Paper presented at Proceedings of the 1995 IEEE Pacific RIM Conference on Communications, Computers, and Signal Processing, Victoria, BC, Can, .