Zero input behavior of fixed-point digital filters in delta-operator representation

Peter H. Bauer, Roberto Castañeda, Kamal Premaratne

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

Abstract

This paper analyzes ihe zero input behavior of digital filters in delta-operator representation. It is shown that regardless of the quantization and precision scheme, delta-operator based digital filters show very poor zero-convergence. Under zero input conditions the state trajectory typically terminates in a non-zero equilibrium point. The geometry of the arising deadbands are derived and lower as well as upper bounds on the limit cycle amplitudes are obtained. The analysis is conducted in the state space and is independent of the form of the system matrix. The result applies to all commonly used arithmetic schemes and precision options.

Original languageEnglish (US)
Title of host publicationConference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995
EditorsAvtar Singh
PublisherIEEE Computer Society
Pages972-975
Number of pages4
ISBN (Electronic)0818673702
DOIs
StatePublished - Jan 1 1995
Event29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995 - Pacific Grove, United States
Duration: Oct 30 1995Nov 1 1995

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
Volume2
ISSN (Print)1058-6393

Conference

Conference29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995
CountryUnited States
CityPacific Grove
Period10/30/9511/1/95

Fingerprint

Digital filters
Trajectories
Geometry

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

Cite this

Bauer, P. H., Castañeda, R., & Premaratne, K. (1995). Zero input behavior of fixed-point digital filters in delta-operator representation. In A. Singh (Ed.), Conference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995 (pp. 972-975). [540844] (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2). IEEE Computer Society. https://doi.org/10.1109/ACSSC.1995.540844

Zero input behavior of fixed-point digital filters in delta-operator representation. / Bauer, Peter H.; Castañeda, Roberto; Premaratne, Kamal.

Conference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995. ed. / Avtar Singh. IEEE Computer Society, 1995. p. 972-975 540844 (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 2).

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

Bauer, PH, Castañeda, R & Premaratne, K 1995, Zero input behavior of fixed-point digital filters in delta-operator representation. in A Singh (ed.), Conference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995., 540844, Conference Record - Asilomar Conference on Signals, Systems and Computers, vol. 2, IEEE Computer Society, pp. 972-975, 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995, Pacific Grove, United States, 10/30/95. https://doi.org/10.1109/ACSSC.1995.540844
Bauer PH, Castañeda R, Premaratne K. Zero input behavior of fixed-point digital filters in delta-operator representation. In Singh A, editor, Conference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995. IEEE Computer Society. 1995. p. 972-975. 540844. (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.1995.540844
Bauer, Peter H. ; Castañeda, Roberto ; Premaratne, Kamal. / Zero input behavior of fixed-point digital filters in delta-operator representation. Conference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995. editor / Avtar Singh. IEEE Computer Society, 1995. pp. 972-975 (Conference Record - Asilomar Conference on Signals, Systems and Computers).
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