IOSS criterion for the absence of limit cycles in interfered digital filters employing saturation overflow arithmetic

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24 Citations (Scopus)

Abstract

In this paper, a new criterion for the absence of limit cycles in fixed-point state-space digital filters with saturation overflow arithmetic and external interference is proposed via an input/output-to-state stability (IOSS) approach. The criterion ensures not only the asymptotic stability, but also the reduction of the effect of the external interference. This criterion is represented by linear matrix inequality (LMI) and, hence, is computationally tractable. Via a numerical example, we demonstrate the effectiveness of the proposed IOSS criterion.

Original languageEnglish
Pages (from-to)1433-1441
Number of pages9
JournalCircuits, Systems, and Signal Processing
Volume32
Issue number3
DOIs
Publication statusPublished - 2013 Jun 1

Fingerprint

Digital Filter
Overflow
Stability criteria
Digital filters
Asymptotic stability
Linear matrix inequalities
Stability Criteria
Limit Cycle
Saturation
Output
Interference
Asymptotic Stability
Matrix Inequality
Linear Inequalities
State Space
Fixed point
Numerical Examples
Demonstrate

Keywords

  • Asymptotic stability
  • Digital filters
  • Finite wordlength effects
  • Input/output-to-state stability (IOSS)
  • Linear matrix inequality (LMI)

ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics

Cite this

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abstract = "In this paper, a new criterion for the absence of limit cycles in fixed-point state-space digital filters with saturation overflow arithmetic and external interference is proposed via an input/output-to-state stability (IOSS) approach. The criterion ensures not only the asymptotic stability, but also the reduction of the effect of the external interference. This criterion is represented by linear matrix inequality (LMI) and, hence, is computationally tractable. Via a numerical example, we demonstrate the effectiveness of the proposed IOSS criterion.",
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AB - In this paper, a new criterion for the absence of limit cycles in fixed-point state-space digital filters with saturation overflow arithmetic and external interference is proposed via an input/output-to-state stability (IOSS) approach. The criterion ensures not only the asymptotic stability, but also the reduction of the effect of the external interference. This criterion is represented by linear matrix inequality (LMI) and, hence, is computationally tractable. Via a numerical example, we demonstrate the effectiveness of the proposed IOSS criterion.

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