Stability of normal form digital filters with two's complement quantization

Tamal Bose, Mei Qin Chen, Frank Brammer

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

3 Citations (Scopus)

Abstract

Normal-form digital filters are investigated for limit cycles due to two's complement truncation quantization. Regions in the parameter plane of a coupled-form filter are obtained where various types of period-one limit cycles are possible. A sufficient condition is established for the global asymptotic stability of a quantized coupled-form digital filter. A bound on the amplitude of limit cycles is obtained. This is used to develop an algorithm to check whether or not limit cycles are possible in a given filter. If possible, the algorithm produces all the initial conditions and periods for all possible limit cycles.

Original languageEnglish (US)
Title of host publicationProceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
PublisherPubl by IEEE
Pages1889-1892
Number of pages4
Volume3
ISBN (Print)078030033
StatePublished - 1991
Externally publishedYes
EventProceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 - Toronto, Ont, Can
Duration: May 14 1991May 17 1991

Other

OtherProceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91
CityToronto, Ont, Can
Period5/14/915/17/91

Fingerprint

digital filters
Digital filters
complement
cycles
Asymptotic stability
filters
approximation

ASJC Scopus subject areas

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

Cite this

Bose, T., Chen, M. Q., & Brammer, F. (1991). Stability of normal form digital filters with two's complement quantization. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing (Vol. 3, pp. 1889-1892). Publ by IEEE.

Stability of normal form digital filters with two's complement quantization. / Bose, Tamal; Chen, Mei Qin; Brammer, Frank.

Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Vol. 3 Publ by IEEE, 1991. p. 1889-1892.

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

Bose, T, Chen, MQ & Brammer, F 1991, Stability of normal form digital filters with two's complement quantization. in Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. vol. 3, Publ by IEEE, pp. 1889-1892, Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91, Toronto, Ont, Can, 5/14/91.
Bose T, Chen MQ, Brammer F. Stability of normal form digital filters with two's complement quantization. In Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Vol. 3. Publ by IEEE. 1991. p. 1889-1892
Bose, Tamal ; Chen, Mei Qin ; Brammer, Frank. / Stability of normal form digital filters with two's complement quantization. Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. Vol. 3 Publ by IEEE, 1991. pp. 1889-1892
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