New result for limit cycles in two-dimensional recursive digital filters

Des McLernon, Robert A. King · IEE Proceedings G (Electronic Circuits and Systems) · 1985

Limit cycles due to product rounding in a fixed-point implementation of a first-order two-dimensional digital filter are considered. A number of lemmas and a theorem are presented, proving that only row or column limit cycles can exist where two product rounding quantisers are employed.

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