Two new criteria for the realization of interfered digital filters utilizing saturation overflow nonlinearity

Choon Ki Ahn

doi:10.1016/j.sigpro.2013.08.018

Two new criteria for the realization of interfered digital filters utilizing saturation overflow nonlinearity

Choon Ki Ahn

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

31 Citations (Scopus)

Abstract

In this paper, an input-to-state stability (ISS) approach is used to derive two new criteria for the realization of fixed-point state-space and direct-form digital filters with saturation overflow nonlinearity and external interference via augmented Lyapunov functions. The two proposed realization criteria ensure ISS for external interference. Moreover, these criteria guarantee asymptotic stability without external interference. They take the form of linear matrix inequality (LMI) and, hence, are computationally tractable. Illustrative examples demonstrate the effectiveness of the two proposed criteria.

Original language	English
Pages (from-to)	171-176
Number of pages	6
Journal	Signal Processing
Volume	95
DOIs	https://doi.org/10.1016/j.sigpro.2013.08.018
Publication status	Published - 2014

Bibliographical note

Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.

Keywords

Asymptotic stability
Digital filters
Finite wordlength effects
Input-to-state stability (ISS)
Linear matrix inequality (LMI)

ASJC Scopus subject areas

Control and Systems Engineering
Software
Signal Processing
Computer Vision and Pattern Recognition
Electrical and Electronic Engineering

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10.1016/j.sigpro.2013.08.018

Cite this

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abstract = "In this paper, an input-to-state stability (ISS) approach is used to derive two new criteria for the realization of fixed-point state-space and direct-form digital filters with saturation overflow nonlinearity and external interference via augmented Lyapunov functions. The two proposed realization criteria ensure ISS for external interference. Moreover, these criteria guarantee asymptotic stability without external interference. They take the form of linear matrix inequality (LMI) and, hence, are computationally tractable. Illustrative examples demonstrate the effectiveness of the two proposed criteria.",

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AU - Ahn, Choon Ki

PY - 2014

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AB - In this paper, an input-to-state stability (ISS) approach is used to derive two new criteria for the realization of fixed-point state-space and direct-form digital filters with saturation overflow nonlinearity and external interference via augmented Lyapunov functions. The two proposed realization criteria ensure ISS for external interference. Moreover, these criteria guarantee asymptotic stability without external interference. They take the form of linear matrix inequality (LMI) and, hence, are computationally tractable. Illustrative examples demonstrate the effectiveness of the two proposed criteria.

KW - Asymptotic stability

KW - Digital filters

KW - Finite wordlength effects

KW - Input-to-state stability (ISS)

KW - Linear matrix inequality (LMI)

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SN - 0165-1684

VL - 95

SP - 171

EP - 176

JO - Signal Processing

JF - Signal Processing

ER -

Two new criteria for the realization of interfered digital filters utilizing saturation overflow nonlinearity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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