Design of separable-denominator 2-D digital filters using the reduced-dimensional decomposition model

Tian Bo Deng, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

A separable-denominator 2-D digital filter (SD-2DDF) can be decomposed into the cascade form of a pair of 1-D digital filters (1DDFs) with different delay elements. Based on this reduced-dimensional decomposition, in this paper, we propose a new technique for designing SD-2DDFs in the spatial domain. The technique determines the coefficient matrices of 1DDFs by nonlinear optimization techniques first, and then a SD-2DDF can be easily synthesized. In addition, since the existent 1-D linear system realization techniques can be used to choose a good starting point for the optimization, extremely accurate design results can be easily achieved.

Original languageEnglish
Pages (from-to)89-96
Number of pages8
JournalMultidimensional Systems and Signal Processing
Volume3
Issue number1
DOIs
Publication statusPublished - 1992 Feb 1

Keywords

  • 1-D Lyapunov stability condition
  • 1-D digital filter (1DDF)
  • Separable-denominator 2-D digital filter (SD-2DDF)
  • reduced-dimensional decomposition

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Information Systems
  • Hardware and Architecture
  • Computer Science Applications
  • Artificial Intelligence
  • Applied Mathematics

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