Analysis and minimization of roundoff noise in separable denominator multidimensional digital filters

Qiangfu Zhao, Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticle

Abstract

This paper studies the analysis and minimization of roundoff noise in separable denominator multidimensional (SD M‐D) digital filters on the basis of state‐space representations. First, the roundoff noise in SD M‐D digital filters is analyzed and the l2‐norm dynamic range constraint is discussed. Using the results, a synthesis method of optimal realizations (with respect to roundoff noise) is proposed. Further, the simple relation between balanced realizations and optimal realizations of SD M‐D digital filters is obtained and an efficient method for synthesizing optimal realizations from balanced realizations is proposed. In addition, this paper also proves that optimal realizations are free of overflow oscillations under zero input conditions. Finally, the synthesis procedure is illustrated by a numerical example.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
Volume72
Issue number3
DOIs
Publication statusPublished - 1989

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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