Pipelinable Low-Sensitivity Digital Filters Based on the Localization of Transmission Zeros

Hisakazu KIKUCHI  Hiromichi WATANABE  Akinori NISHIHARA  Takeshi YANAGISAWA  

IEICE TRANSACTIONS (1976-1990)   Vol.E71   No.5   pp.493-504
Publication Date: 1988/05/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Digital Signal Processing

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A direct procedure to realize pipelinable low-sensitivity digital filters is developed only in the z-domain. It is possible to realize arbitrary digital transfer functions using this procedure. The key concept for the low-sensitivity property lies both in the matching concept in doubly-terminated lossless networks and in the localization of transmission zeros. The synthesis procedure is based on successive extractions of transmission zeros by means of lossless but not always reciprocal transfer scattering matrices. Since a transfer scattering matrix involves the transmission zeros as its poles, such a matrix is suitable for their localization. Furthermore a universal first/second-degree section is derived explicitly.