Limit cycles due to adder overflow in digital filters

作者: A. Willson

DOI: 10.1109/TCT.1972.1083480

关键词: AmplitudeAdderDigital filterNonlinear networksArithmeticTelephonyLinearityControl theoryQuantization (signal processing)Mathematics

摘要: In this paper we study the control of amplitude () EA limit cycles due to adder overflow which occur in zero-input response second-order digital filters. We consider a filter model effects quantization (i.e., roundoff, truncation, etc.) are included. Our analysis is sufficiently general character that consideration given wide variety types arithmetic. addition our new results, virtually all previously known results concerning such also follow from analysis. Since obtained by single technique, work thus tends unify body knowledge area. Furthermore, technique easily generalized, and there reason believe generalizations could be profitably applied higher order systems.

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