New peak-to-peak state-space realization of direct form interfered digital filters free of overflow limit cycles

Choon Ki Ahn, Pyung Soo Kim

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This paper introduces an induced l approach (also known as a peak-to-peak approach) to derive a new criterion for the realization of state-space direct form digital filters free of overflow limit cycles. The criterion guarantees asymptotic stability and reduces the effect of external interference to an induced l norm constraint. The criterion can overcome some disadvantages of existing criteria. Finally, a numerical example is presented to demonstrate the efficacy of the proposed stability criterion.

Original languageEnglish
Pages (from-to)3285-3291
Number of pages7
JournalInternational Journal of Innovative Computing, Information and Control
Volume9
Issue number8
Publication statusPublished - 2013 Jul 18

Fingerprint

Digital Filter
Overflow
Stability criteria
Digital filters
Asymptotic stability
Limit Cycle
State Space
Stability Criteria
Asymptotic Stability
Efficacy
Interference
Norm
Numerical Examples
Form
Demonstrate

Keywords

  • Approach (or peak-to-peak approach)
  • Asymptotic stability
  • Direct form digital filters
  • Finite wordlength effects
  • Induced l
  • Linear matrix inequality (LMI)

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Information Systems
  • Software
  • Theoretical Computer Science

Cite this

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N2 - This paper introduces an induced l∞ approach (also known as a peak-to-peak approach) to derive a new criterion for the realization of state-space direct form digital filters free of overflow limit cycles. The criterion guarantees asymptotic stability and reduces the effect of external interference to an induced l∞ norm constraint. The criterion can overcome some disadvantages of existing criteria. Finally, a numerical example is presented to demonstrate the efficacy of the proposed stability criterion.

AB - This paper introduces an induced l∞ approach (also known as a peak-to-peak approach) to derive a new criterion for the realization of state-space direct form digital filters free of overflow limit cycles. The criterion guarantees asymptotic stability and reduces the effect of external interference to an induced l∞ norm constraint. The criterion can overcome some disadvantages of existing criteria. Finally, a numerical example is presented to demonstrate the efficacy of the proposed stability criterion.

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