L2-l stability criterion for fixed-point state-space digital filters with saturation nonlinearity

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24 Citations (Scopus)

Abstract

This article proves that there exists an l2-l stability criterion for fixed-point state-space digital filters without overflow oscillations. By the l2-l stability property, this new criterion guarantees asymptotic stability and attenuates the effect of external interference to a prescribed l2-l-induced norm bound. We represent this stability criterion as the form of linear matrix inequality, which can be solved easily using the existing numerical packages. Finally, we present an illustrative example, which shows the effectiveness of the proposed stability criterion.

Original languageEnglish
Pages (from-to)1309-1316
Number of pages8
JournalInternational Journal of Electronics
Volume100
Issue number9
DOIs
Publication statusPublished - 2013 Sep 1

Keywords

  • asymptotic stability
  • digital filters
  • finite word length effects
  • l-l approach
  • linear matrix inequality

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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