Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations

Ernst C. Kulasekere, Kamal Premaratne, Peter H. Bauer

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

Abstract

A digital filter which has been designed to be limit cycle free may exhibit limit cycles at the implementation stage. This is due to the inability to implement filter coefficients exactly in hardware when they are quantized to satisfy available wordlength requirements. Given a digital filter which is limit cycle free under zero input conditions, the work below presents an algorithm which finds a region in the coefficient space, about the nominal filter coefficient values, where in the filter remains limit cycle free. Furthermore the results of the algorithm will also indicate the availability of other machine representable numbers for the coefficients that fall within this robustness region. Hence one may even choose shorter wordlength registers for coefficient storage if the corresponding grid falls within the constructed robustness region.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsJoseph Picone
Pages64-74
Number of pages11
Volume2750
StatePublished - Jan 1 1996
EventDigital Signal Processing Technology - Orlando, FL, USA
Duration: Apr 10 1996Apr 11 1996

Other

OtherDigital Signal Processing Technology
CityOrlando, FL, USA
Period4/10/964/11/96

Fingerprint

Digital filters
Availability
Hardware

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kulasekere, E. C., Premaratne, K., & Bauer, P. H. (1996). Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations. In J. Picone (Ed.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 2750, pp. 64-74)

Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations. / Kulasekere, Ernst C.; Premaratne, Kamal; Bauer, Peter H.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / Joseph Picone. Vol. 2750 1996. p. 64-74.

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

Kulasekere, EC, Premaratne, K & Bauer, PH 1996, Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations. in J Picone (ed.), Proceedings of SPIE - The International Society for Optical Engineering. vol. 2750, pp. 64-74, Digital Signal Processing Technology, Orlando, FL, USA, 4/10/96.
Kulasekere EC, Premaratne K, Bauer PH. Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations. In Picone J, editor, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 2750. 1996. p. 64-74
Kulasekere, Ernst C. ; Premaratne, Kamal ; Bauer, Peter H. / Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations. Proceedings of SPIE - The International Society for Optical Engineering. editor / Joseph Picone. Vol. 2750 1996. pp. 64-74
@inproceedings{a87f97b7108f49ed8d48df076f081a39,
title = "Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations",
abstract = "A digital filter which has been designed to be limit cycle free may exhibit limit cycles at the implementation stage. This is due to the inability to implement filter coefficients exactly in hardware when they are quantized to satisfy available wordlength requirements. Given a digital filter which is limit cycle free under zero input conditions, the work below presents an algorithm which finds a region in the coefficient space, about the nominal filter coefficient values, where in the filter remains limit cycle free. Furthermore the results of the algorithm will also indicate the availability of other machine representable numbers for the coefficients that fall within this robustness region. Hence one may even choose shorter wordlength registers for coefficient storage if the corresponding grid falls within the constructed robustness region.",
author = "Kulasekere, {Ernst C.} and Kamal Premaratne and Bauer, {Peter H.}",
year = "1996",
month = "1",
day = "1",
language = "English",
isbn = "0819421316",
volume = "2750",
pages = "64--74",
editor = "Joseph Picone",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

}

TY - GEN

T1 - Robustness of digital filters with respect to limit-cycle behavior under coefficient perturbations

AU - Kulasekere, Ernst C.

AU - Premaratne, Kamal

AU - Bauer, Peter H.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - A digital filter which has been designed to be limit cycle free may exhibit limit cycles at the implementation stage. This is due to the inability to implement filter coefficients exactly in hardware when they are quantized to satisfy available wordlength requirements. Given a digital filter which is limit cycle free under zero input conditions, the work below presents an algorithm which finds a region in the coefficient space, about the nominal filter coefficient values, where in the filter remains limit cycle free. Furthermore the results of the algorithm will also indicate the availability of other machine representable numbers for the coefficients that fall within this robustness region. Hence one may even choose shorter wordlength registers for coefficient storage if the corresponding grid falls within the constructed robustness region.

AB - A digital filter which has been designed to be limit cycle free may exhibit limit cycles at the implementation stage. This is due to the inability to implement filter coefficients exactly in hardware when they are quantized to satisfy available wordlength requirements. Given a digital filter which is limit cycle free under zero input conditions, the work below presents an algorithm which finds a region in the coefficient space, about the nominal filter coefficient values, where in the filter remains limit cycle free. Furthermore the results of the algorithm will also indicate the availability of other machine representable numbers for the coefficients that fall within this robustness region. Hence one may even choose shorter wordlength registers for coefficient storage if the corresponding grid falls within the constructed robustness region.

UR - http://www.scopus.com/inward/record.url?scp=0029749318&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029749318&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029749318

SN - 0819421316

SN - 9780819421319

VL - 2750

SP - 64

EP - 74

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Picone, Joseph

ER -