ANALYSIS AND SYNTHESIS OF LIMIT CYCLE FREE RECURSIVE DIGITAL FILTERS / ANÁLISE E SÍNTESE DE FILTROS DIGITAIS RECURSIVOS IMUNES A CICLO LIMITE

AUTOR(ES)

CHANG PI SHENG

DATA DE PUBLICAÇÃO

1990

RESUMO

This thesis presents a method for analysis of zero-input limit cycles due to quantization, in digital filters realized with floating point arithmetic. Conditions for absence of limit cycles are easily derived by computational calculus. The method of analysis is applicable to generic structures of any order. Following this, a method is presented a method for the synthesis of digital filters realized with fixed point arithmetic, that are free from zero-input limit cycles due to quantization, using the concept of structurally passive networks. The structures synthetized present sub-filters structurally LBR or BR in the feedback loop. Second order structures are synthetized and studied. It is proved that some of these stuctures are also free from zero-input limit cycles due to overflow and stable to forced response.

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