MINIMIZATION OF SENSITIVITY OF 2-D STATE-SPACE DIGITAL FILTERS AND ITS RELATION TO 2-D BALANCED REALIZATIONS.

Masayuki Kawamata, Tao Lin, Tatsuo Higuchi

Research output: Contribution to journalConference articlepeer-review

36 Citations (Scopus)

Abstract

The average coefficient sensitivity of two-dimensional (2-D) state-space digital filters is defined and can be evaluated by the 2-D controllability and the 2-D observability Gramians. The minimization of sensitivity by means of 2-D equivalent transformations is considered in cases of having no constraint and having the l//2-norm scaling constraint on the state vector. In the first case, the minimum sensitivity realizations are equivalent to the 2-D balanced realizations, modulo a block orthogonal transformation. In the second case, the minimization of sensitivity is equivalent to the minimization of roundoff noise under the l//2-norm scaling constraint.

Original languageEnglish
Pages (from-to)710-713
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 1987 Jan 1

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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