Overflow Oscillations in State-Space Digital Filters

Tamal Bose, Mei Qin Chen

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


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 languageEnglish (US)
Pages (from-to)807-810
Number of pages4
JournalIEEE transactions on circuits and systems
Issue number7
StatePublished - Jul 1991

ASJC Scopus subject areas

  • Engineering(all)


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