Stability analysis of digital filters subjected to interference using generalized overflow nonlinearities

Priyanka Kokil; Srinivasulu Jogi; Choon Ki Ahn

doi:10.1016/j.sigpro.2018.01.029

Stability analysis of digital filters subjected to interference using generalized overflow nonlinearities

Priyanka Kokil, Srinivasulu Jogi, Choon Ki Ahn

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

13 Citations (Scopus)

Abstract

In this paper, we feature a new criterion using an input–output-to-state stability (IOSS) approach for digital filters employing fixed-point arithmetic with generalized overflow nonlinearities in the presence of external disturbances. The proposed linear matrix inequality (LMI)-based criterion eliminates the presence of limit cycles and ensures not only the IOSS of digital filters but also their asymptotic stability when external interference is exhausted. Through several numerical examples, the effectiveness of the proposed criterion is illustrated, and it is shown that it covers a broad class of nonlinearities, namely saturation, zeroing, two's complement, and triangular.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Signal Processing
Volume	148
DOIs	https://doi.org/10.1016/j.sigpro.2018.01.029
Publication status	Published - 2018 Jul

Bibliographical note

Funding Information:
This work was supported partially by the Science and Engineering Research Board, Department of Science and Technology under Grants EEQ/2016/000803, ECR/2017/000135, and partially by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. The authors wish to thank the Editor and the anonymous reviewers for their constructive comments and suggestions. In addition, the authors are grateful to Prof. Haranath Kar for his insightful discussion.

Publisher Copyright:
© 2018 Elsevier B.V.

Keywords

Asymptotic stability
Digital filters
Generalized overflow nonlinearities
Input–output-to-state stability
Limit cycles
Nonlinear system

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.2018.01.029

Cite this

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title = "Stability analysis of digital filters subjected to interference using generalized overflow nonlinearities",

abstract = "In this paper, we feature a new criterion using an input–output-to-state stability (IOSS) approach for digital filters employing fixed-point arithmetic with generalized overflow nonlinearities in the presence of external disturbances. The proposed linear matrix inequality (LMI)-based criterion eliminates the presence of limit cycles and ensures not only the IOSS of digital filters but also their asymptotic stability when external interference is exhausted. Through several numerical examples, the effectiveness of the proposed criterion is illustrated, and it is shown that it covers a broad class of nonlinearities, namely saturation, zeroing, two's complement, and triangular.",

keywords = "Asymptotic stability, Digital filters, Generalized overflow nonlinearities, Input–output-to-state stability, Limit cycles, Nonlinear system",

author = "Priyanka Kokil and Srinivasulu Jogi and Ahn, {Choon Ki}",

note = "Funding Information: This work was supported partially by the Science and Engineering Research Board, Department of Science and Technology under Grants EEQ/2016/000803, ECR/2017/000135, and partially by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. The authors wish to thank the Editor and the anonymous reviewers for their constructive comments and suggestions. In addition, the authors are grateful to Prof. Haranath Kar for his insightful discussion. Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

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doi = "10.1016/j.sigpro.2018.01.029",

language = "English",

volume = "148",

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journal = "Signal Processing",

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T1 - Stability analysis of digital filters subjected to interference using generalized overflow nonlinearities

AU - Kokil, Priyanka

AU - Jogi, Srinivasulu

AU - Ahn, Choon Ki

N1 - Funding Information: This work was supported partially by the Science and Engineering Research Board, Department of Science and Technology under Grants EEQ/2016/000803, ECR/2017/000135, and partially by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. The authors wish to thank the Editor and the anonymous reviewers for their constructive comments and suggestions. In addition, the authors are grateful to Prof. Haranath Kar for his insightful discussion. Publisher Copyright: © 2018 Elsevier B.V.

PY - 2018/7

Y1 - 2018/7

N2 - In this paper, we feature a new criterion using an input–output-to-state stability (IOSS) approach for digital filters employing fixed-point arithmetic with generalized overflow nonlinearities in the presence of external disturbances. The proposed linear matrix inequality (LMI)-based criterion eliminates the presence of limit cycles and ensures not only the IOSS of digital filters but also their asymptotic stability when external interference is exhausted. Through several numerical examples, the effectiveness of the proposed criterion is illustrated, and it is shown that it covers a broad class of nonlinearities, namely saturation, zeroing, two's complement, and triangular.

AB - In this paper, we feature a new criterion using an input–output-to-state stability (IOSS) approach for digital filters employing fixed-point arithmetic with generalized overflow nonlinearities in the presence of external disturbances. The proposed linear matrix inequality (LMI)-based criterion eliminates the presence of limit cycles and ensures not only the IOSS of digital filters but also their asymptotic stability when external interference is exhausted. Through several numerical examples, the effectiveness of the proposed criterion is illustrated, and it is shown that it covers a broad class of nonlinearities, namely saturation, zeroing, two's complement, and triangular.

KW - Asymptotic stability

KW - Digital filters

KW - Generalized overflow nonlinearities

KW - Input–output-to-state stability

KW - Limit cycles

KW - Nonlinear system

UR - http://www.scopus.com/inward/record.url?scp=85041916743&partnerID=8YFLogxK

U2 - 10.1016/j.sigpro.2018.01.029

DO - 10.1016/j.sigpro.2018.01.029

M3 - Article

AN - SCOPUS:85041916743

SN - 0165-1684

VL - 148

SP - 1

EP - 8

JO - Signal Processing

JF - Signal Processing

ER -

Stability analysis of digital filters subjected to interference using generalized overflow nonlinearities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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