NEW PROPERTY OF OPTIMAL REALIZATIONS OF CRSD 2-D DIGITAL FILTERS AND ITS APPLICATION TO THE DIRECT SPATIAL-DOMAIN DESIGN.

Qiangfu Zhao, Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticle

Abstract

Based on controllability gramians, observability gramians and second order modes, this paper shows that optimal realizations (filter structures having minimum roundoff noises) of quarter-plane-causal, recursive and separable in denominator 2-D digital filters (CRSD) filters are scaled and rotated balanced realizations. Two applications are given. The first gives a simple proof of the absence of overflow oscillations in optimal realizations. The second which is the main result of this paper, gives a direct design method of CRSD filters in the spatial domain. This method simplifies traditional two-step design (approximation and synthesis) into a one-step design with less computational complexity. Resulting filters of this direct design can approximate given 2-D impulse responses closely. They are always guaranteed to be stable, nearly optimal with respect to roundoff noise and free of overflow oscillations. The efficiency of the direct design method is shown by numerical examples.

Original languageEnglish
Pages (from-to)1084-1092
Number of pages9
JournalTransactions of the Institute of Electronics and Communication Engineers of Japan. Section E
VolumeE69
Issue number10
Publication statusPublished - 1986 Oct 1

ASJC Scopus subject areas

  • Engineering(all)

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