Criterion for the elimination of overflow oscillations in fixed-point digital filters with saturation arithmetic and external disturbance

Choon Ki Ahn

doi:10.1016/j.aeue.2010.12.001

Criterion for the elimination of overflow oscillations in fixed-point digital filters with saturation arithmetic and external disturbance

Choon Ki Ahn

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

58 Citations (Scopus)

Abstract

In this paper, a new criterion for the H_∞ elimination of overflow oscillations in fixed-point digital filters with saturation arithmetic and external disturbance is presented. The criterion not only guarantees exponential stability but also reduces the effect of external disturbance to an H_∞ norm constraint. The criterion takes the form of linear matrix inequality (LMI) and, hence, is computationally tractable. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.

Original language	English
Pages (from-to)	750-752
Number of pages	3
Journal	AEU - International Journal of Electronics and Communications
Volume	65
Issue number	9
DOIs	https://doi.org/10.1016/j.aeue.2010.12.001
Publication status	Published - 2011 Sept
Externally published	Yes

Keywords

Digital filters
Exponential stability
Finite wordlength effects
H approach
Linear matrix inequality (LMI)

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1016/j.aeue.2010.12.001

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abstract = "In this paper, a new criterion for the H∞ elimination of overflow oscillations in fixed-point digital filters with saturation arithmetic and external disturbance is presented. The criterion not only guarantees exponential stability but also reduces the effect of external disturbance to an H∞ norm constraint. The criterion takes the form of linear matrix inequality (LMI) and, hence, is computationally tractable. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.",

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N2 - In this paper, a new criterion for the H∞ elimination of overflow oscillations in fixed-point digital filters with saturation arithmetic and external disturbance is presented. The criterion not only guarantees exponential stability but also reduces the effect of external disturbance to an H∞ norm constraint. The criterion takes the form of linear matrix inequality (LMI) and, hence, is computationally tractable. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.

AB - In this paper, a new criterion for the H∞ elimination of overflow oscillations in fixed-point digital filters with saturation arithmetic and external disturbance is presented. The criterion not only guarantees exponential stability but also reduces the effect of external disturbance to an H∞ norm constraint. The criterion takes the form of linear matrix inequality (LMI) and, hence, is computationally tractable. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.

KW - Digital filters

KW - Exponential stability

KW - Finite wordlength effects

KW - H approach

KW - Linear matrix inequality (LMI)

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JO - AEU - International Journal of Electronics and Communications

JF - AEU - International Journal of Electronics and Communications

IS - 9

ER -

Criterion for the elimination of overflow oscillations in fixed-point digital filters with saturation arithmetic and external disturbance

Abstract

Keywords

ASJC Scopus subject areas

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