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

Choon Ki Ahn; Pyung Soo Kim

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

Choon Ki Ahn, Pyung Soo Kim

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

13 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 language	English
Pages (from-to)	3285-3291
Number of pages	7
Journal	International Journal of Innovative Computing, Information and Control
Volume	9
Issue number	8
Publication status	Published - 2013

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

Software
Theoretical Computer Science
Information Systems
Computational Theory and Mathematics

Cite this

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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.",

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AU - Ahn, Choon Ki

AU - Kim, Pyung Soo

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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.

KW - Approach (or peak-to-peak approach)

KW - Asymptotic stability

KW - Direct form digital filters

KW - Finite wordlength effects

KW - Induced l

KW - Linear matrix inequality (LMI)

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JO - International Journal of Innovative Computing, Information and Control

JF - International Journal of Innovative Computing, Information and Control

IS - 8

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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