An Improved Stability Criterion for Digital Filters with Generalized Overflow Arithmetic and Time-Varying Delay

Chuan Ke Zhang, Ke You Xie, Yong He, Qing Guo Wang, Min Wu

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

This brief concerns the stability of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. A relaxed lemma that includes a commonly used lemma as a special case is developed to show the relationship between the state and the overflow arithmetic, and a Lyapunov functional with positive-definite conditions that are more relaxed than usual is constructed. As a result, a less conservative stability criterion is established, and the efficiency and merit of the criterion are illustrated with a numerical example.

Original languageEnglish
Article number8887223
Pages (from-to)2099-2103
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume67
Issue number10
DOIs
Publication statusPublished - Oct 2020

Keywords

  • Fixed-point state-space digital filter
  • asymptotic stability
  • generalized overflow arithmetic
  • time-varying delay

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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