Design of 2-D Digital Filters with an Arbitrary Response and no Overflow Oscillations Based on a New Stability Condition

Tao Lin, Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

—This paper presents a new optimal-design-oriented stability condition for 2-D state-space digital filters. A general formulation for optimal design of 2-D recursive digital filters is obtained by applying the new condition. The formulation can be reduced into an unconstrained minimization problem and be used to design 2-D state-space digital filters with an arbitrary response. Furthermore, the resulting filters are guaranteed to be not only stable but also able to suppress overflow oscillations due to adder overflows. Some practical design techniques for the spatial-domain specifications and the frequency-domain specifications are proposed on the basis of the general formulation. Several examples are given to show the effectiveness of the proposed techniques.

Original languageEnglish
Pages (from-to)113-126
Number of pages14
JournalIEEE transactions on circuits and systems
Volume34
Issue number2
DOIs
Publication statusPublished - 1987 Feb

ASJC Scopus subject areas

  • Engineering(all)

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