Minimization of coefficient sensitivity for block‐state realizations of state‐space digital filters

Yoshitaka Tsunekawa, Junichi Shida, Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticlepeer-review

Abstract

This paper considers the case where the block‐state realization is applied to state‐space digital filters and discusses the synthesis method for the minimum coefficient sensitivity realization. First, the method to evaluate the coefficient sensitivity in the block‐state realization, which has already been reported by the authors, is shown. Then the synthesis method for the minimum coefficient sensitivity realization is presented based on the evaluation method for the cases with and without the scaling constraint. It is shown as a result that the minimum coefficient sensitivity realization can be derived as a balanced structure also in the block‐state realization, as in the usual state‐space realization. Finally, calculation examples are shown for those synthesis methods and the validity of the proposed synthesis method is demonstrated by the satisfactory results. It is shown also that the minimum coefficient sensitivity structure for the block‐state realization derived by the proposed synthesis method is equivalent to the filter structure in the block‐state realization, which is derived from the minimum coefficient sensitivity structure in the usual state‐space realization.

Original languageEnglish
Pages (from-to)88-101
Number of pages14
JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
Volume75
Issue number11
DOIs
Publication statusPublished - 1992

Keywords

  • State‐space digital filters
  • block‐state realizations
  • minimum coefficient sensitivity
  • scaling

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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