Overflow Oscillations in State-Space Digital Filters

Tamal Bose; Mei Qin Chen

doi:10.1109/31.135754

Overflow Oscillations in State-Space Digital Filters

Tamal Bose, Mei Qin Chen

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

A new sufficient condition is established for the stability of general state-space digital filters implemented with 2's complement arithmetic for the addition operation. Also, a necessary and sufficient condition is established for the existence of period- T limit cycles in second-order direct-form digital filters. This theorem can be used to determine existence regions in the parameter plane for limit cycles of arbitrary period. Also, given the filter coefficients, this theorem can be used to find initial conditions that yield period- T limit cycles for any T, and all possible limit cycle vector sequences.

Original language	English (US)
Pages (from-to)	807-810
Number of pages	4
Journal	IEEE transactions on circuits and systems
Volume	38
Issue number	7
DOIs	https://doi.org/10.1109/31.135754
State	Published - Jul 1991
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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10.1109/31.135754

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title = "Overflow Oscillations in State-Space Digital Filters",

abstract = "A new sufficient condition is established for the stability of general state-space digital filters implemented with 2's complement arithmetic for the addition operation. Also, a necessary and sufficient condition is established for the existence of period- T limit cycles in second-order direct-form digital filters. This theorem can be used to determine existence regions in the parameter plane for limit cycles of arbitrary period. Also, given the filter coefficients, this theorem can be used to find initial conditions that yield period- T limit cycles for any T, and all possible limit cycle vector sequences.",

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year = "1991",

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AU - Chen, Mei Qin

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AB - A new sufficient condition is established for the stability of general state-space digital filters implemented with 2's complement arithmetic for the addition operation. Also, a necessary and sufficient condition is established for the existence of period- T limit cycles in second-order direct-form digital filters. This theorem can be used to determine existence regions in the parameter plane for limit cycles of arbitrary period. Also, given the filter coefficients, this theorem can be used to find initial conditions that yield period- T limit cycles for any T, and all possible limit cycle vector sequences.

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Overflow Oscillations in State-Space Digital Filters

Abstract

ASJC Scopus subject areas

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