### 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 language | English |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Editors | Joseph Picone |

Pages | 64-74 |

Number of pages | 11 |

Volume | 2750 |

State | Published - Jan 1 1996 |

Event | Digital Signal Processing Technology - Orlando, FL, USA Duration: Apr 10 1996 → Apr 11 1996 |

### Other

Other | Digital Signal Processing Technology |
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City | Orlando, FL, USA |

Period | 4/10/96 → 4/11/96 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 2750, pp. 64-74, Digital Signal Processing Technology, Orlando, FL, USA, 4/10/96.

}

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

SN - 0819421316

SN - 9780819421319

VL - 2750

SP - 64

EP - 74

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

A2 - Picone, Joseph

ER -