Equivalence of wave linear repetitive processes and the singular 2-D Roesser state-space model

M. S. Boudellioua*, K. Galkowski, E. Rogers

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper develops a direct method for transforming a polynomial system matrix describing a discrete wave linear repetitive process to a 2-D singular state-space Roesser model description where all relevant properties, including the zero coprimeness properties of the system matrix, are retained. It is shown that the transformation is zero coprime system equivalence. The structure of the resulting system matrix in singular form and the transformation are also established.

Original languageEnglish
Pages (from-to)103-116
Number of pages14
JournalMultidimensional Systems and Signal Processing
Volume31
Issue number1
DOIs
Publication statusPublished - Jan 1 2020

Keywords

  • 2-D discrete systems
  • 2-D singular Roesser form
  • Linear wave repetitive processes
  • System matrix
  • Zero-coprime system equivalence

ASJC Scopus subject areas

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

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