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

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

30 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

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

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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.",

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

author = "Ahn, {Choon Ki} and Peng Shi",

note = "Funding Information: This work was supported in part by the Australian Research Council ( DP140102180 , LP140100471 ), and the 111 Project ( B12018 ), in part by the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning ( NRF-2014R1A1A1006101 ), and in part by the Energy Efficiency & Resources Core Technology Program of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) , granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea (No. 20142010102390 ). Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

year = "2015",

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doi = "10.1016/j.sigpro.2014.10.029",

language = "English",

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AU - Shi, Peng

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PY - 2015/4

Y1 - 2015/4

N2 - 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.

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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VL - 109

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JO - Signal Processing

JF - Signal Processing

ER -

Dissipativity analysis for fixed-point interfered digital filters

Abstract

Keywords

ASJC Scopus subject areas

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