A new condition for the elimination of overflow oscillations in direct form digital filters

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19 Citations (Scopus)

Abstract

This article proposes a new condition for the elimination of overflow oscillations in direct form digital filters with external interference. This condition reduces the effect of external interference to an H∞ norm constraint. When there is no external interference, this condition ensures exponential stability. Moreover, this condition guarantees that the state vector is bounded if the external interference is bounded. The proposed condition is represented by linear matrix inequality (LMI), which can be checked easily by standard numerical packages. A numerical example is given to show the effectiveness of the proposed condition.

Original languageEnglish
Pages (from-to)1581-1588
Number of pages8
JournalInternational Journal of Electronics
Volume99
Issue number11
DOIs
Publication statusPublished - 2012 Nov 1

Keywords

  • Digital filters
  • Exponential stability
  • Finite wordlength effects
  • H∞ approach
  • Linear matrix inequality

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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