Design of 2-D Separable-Denominator Digital Filters Based on the Reduced-Dimensional Decomposition

Tao Lin, Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

The paper proposes a technique for the design of 2-D sep- arable-denominator digital filters. The technique is based on decomposing both 2-D separable-denominator state-space models and the given 2-D impulse response specifications into 1-D ones. It is proved that the given 2-D) specifications can be optimally decomposed into 1-D specifications via ‘singular value decompositions. Then, 1-D digital filters are designed to approximate the decomposed 1-D specifications. By using balanced approximation as the 1-D design algorithm, a practical algorithm is presented to design stable 2-D separable-denominator digital filters. The algorithm is, computationally efficient and numerically stable.

Original languageEnglish
Pages (from-to)934-941
Number of pages8
JournalIEEE transactions on circuits and systems
Volume34
Issue number8
DOIs
Publication statusPublished - 1987 Aug

ASJC Scopus subject areas

  • Engineering(all)

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