Dissipativity analysis for fixed-point interfered digital filters

Choon Ki Ahn; Peng Shi

doi:10.1016/j.sigpro.2014.10.029

Dissipativity analysis for fixed-point interfered digital filters

Choon Ki Ahn^*
, Peng Shi

^*Corresponding author for this work

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

32 Citations (Scopus)

Abstract

This paper is concerned with establishing a new criterion for the (Q, S, R)-α-dissipativity of fixed-point interfered state-space digital filters with saturation overflow arithmetic. The objective of this paper is to present the H_∞ performance, passivity, and mixed H_∞/passivity criteria in a unified framework. By tuning the weight matrices, the proposed criterion reduces to the H_∞ performance, passivity, and mixed H_∞/passivity criteria. Improved criteria are also proposed for reducing the conservatism of the proposed criterion. These criteria are expressed with linear matrix inequalities (LMIs). A numerical example shows the effectiveness of the proposed results.

Original language	English
Pages (from-to)	148-153
Number of pages	6
Journal	Signal Processing
Volume	109
DOIs	https://doi.org/10.1016/j.sigpro.2014.10.029
Publication status	Published - 2015 Apr

Bibliographical note

Publisher Copyright:
© 2014 Elsevier B.V.

Keywords

(Q, S, R)-α-dissipativity
Digital filter
Finite word length effect
Unified framework

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.2014.10.029

Cite this

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title = "Dissipativity analysis for fixed-point interfered digital filters",

abstract = "This paper is concerned with establishing a new criterion for the (Q, S, R)-α-dissipativity of fixed-point interfered state-space digital filters with saturation overflow arithmetic. The objective of this paper is to present the H∞ performance, passivity, and mixed H∞/passivity criteria in a unified framework. By tuning the weight matrices, the proposed criterion reduces to the H∞ performance, passivity, and mixed H∞/passivity criteria. Improved criteria are also proposed for reducing the conservatism of the proposed criterion. These criteria are expressed with linear matrix inequalities (LMIs). A numerical example shows the effectiveness of the proposed results.",

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AU - Shi, Peng

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AB - This paper is concerned with establishing a new criterion for the (Q, S, R)-α-dissipativity of fixed-point interfered state-space digital filters with saturation overflow arithmetic. The objective of this paper is to present the H∞ performance, passivity, and mixed H∞/passivity criteria in a unified framework. By tuning the weight matrices, the proposed criterion reduces to the H∞ performance, passivity, and mixed H∞/passivity criteria. Improved criteria are also proposed for reducing the conservatism of the proposed criterion. These criteria are expressed with linear matrix inequalities (LMIs). A numerical example shows the effectiveness of the proposed results.

KW - (Q, S, R)-α-dissipativity

KW - Digital filter

KW - Finite word length effect

KW - Unified framework

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SN - 0165-1684

VL - 109

SP - 148

EP - 153

JO - Signal Processing

JF - Signal Processing

ER -

Dissipativity analysis for fixed-point interfered digital filters

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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