Two's complement quantization in orthogonal biquad digital filters

Tamal Bose, M. Q. Chen, David A. Trautman

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A special class of complex biquad digital filters called orthogonal filters are investigated for stability under two's complement quantization. A sufficient condition is derived for the asymptotic stability of the nonlinear filter. Bounds on the possible limit cycles are also obtained. Using these bounds, any given filter can be tested for stability. The stability triangle is then scanned using a dense grid, and each point on the grid is tested for stability/limit cycles. By this method, the stability region given by the sufficient condition is extended. Regions within the linear stability triangle where various types of limit cycles are possible are also identified.

Original languageEnglish (US)
Pages (from-to)601-614
Number of pages14
JournalCircuits, Systems, and Signal Processing
Issue number5
StatePublished - Sep 1994

ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics


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