On elimination of overflow oscillations in linear time-varying 2-D digital filters represented by a Roesser model

Muhammad Rehan, Muhammad Tufail, Muhammad Tahir Akhtar

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

This paper proposes a novel linear matrix inequality (LMI)-based stability criterion to avoid overflow oscillations in 2-D digital filters described by a Roesser state-space model with saturation-type overflow characteristics. In contrast to the conventional approaches, the proposed overflow oscillation elimination methodology can be applied to linear parameter varying time-variant digital filters under overflow subject to both state and output disturbances. For such filters, the proposed criterion ensures the zero-input overflow stability as well as robustness against interferences with a guaranteed H performance bound. A numerical example is presented to demonstrate the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)247-252
Number of pages6
JournalSignal Processing
Volume127
DOIs
Publication statusPublished - Oct 1 2016

Keywords

  • Linear matrix inequality
  • Linear parameter varying
  • Overflow oscillation elimination
  • Saturation arithmetic
  • Time-varying digital filters

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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