Generalized Dissipativity Analysis of Digital Filters with Finite-Wordlength Arithmetic

Choon Ki Ahn; Peng Shi

doi:10.1109/TCSII.2015.2503578

Generalized Dissipativity Analysis of Digital Filters with Finite-Wordlength Arithmetic

Choon Ki Ahn, Peng Shi

School of Electrical Engineering

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

41 Citations (Scopus)

Abstract

This brief investigates the generalized dissipativity of digital filters with finite-wordlength arithmetic. First, a new sufficient condition is proposed to guarantee the generalized dissipativity of single digital filters with finite-wordlength arithmetic. Unlike the existing works in the literature, this brief presents criteria for H performance, l₂-l performance, passivity, and Q,S,R-α-dissipativity in a unified framework. Based on this result, we examine the generalized dissipativity of feedback interconnected digital filters as well as the asymptotic stability of unforced feedback interconnected digital filters. A numerical example demonstrates the effectiveness of the obtained approach.

Original language	English
Article number	7336497
Pages (from-to)	386-390
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	63
Issue number	4
DOIs	https://doi.org/10.1109/TCSII.2015.2503578
Publication status	Published - 2016 Apr

Keywords

digital filter
feedback interconnection
finite wordlength arithmetic
generalized dissipativity

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCSII.2015.2503578

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title = "Generalized Dissipativity Analysis of Digital Filters with Finite-Wordlength Arithmetic",

abstract = "This brief investigates the generalized dissipativity of digital filters with finite-wordlength arithmetic. First, a new sufficient condition is proposed to guarantee the generalized dissipativity of single digital filters with finite-wordlength arithmetic. Unlike the existing works in the literature, this brief presents criteria for H performance, l2-l performance, passivity, and Q,S,R-α-dissipativity in a unified framework. Based on this result, we examine the generalized dissipativity of feedback interconnected digital filters as well as the asymptotic stability of unforced feedback interconnected digital filters. A numerical example demonstrates the effectiveness of the obtained approach.",

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AB - This brief investigates the generalized dissipativity of digital filters with finite-wordlength arithmetic. First, a new sufficient condition is proposed to guarantee the generalized dissipativity of single digital filters with finite-wordlength arithmetic. Unlike the existing works in the literature, this brief presents criteria for H performance, l2-l performance, passivity, and Q,S,R-α-dissipativity in a unified framework. Based on this result, we examine the generalized dissipativity of feedback interconnected digital filters as well as the asymptotic stability of unforced feedback interconnected digital filters. A numerical example demonstrates the effectiveness of the obtained approach.

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Generalized Dissipativity Analysis of Digital Filters with Finite-Wordlength Arithmetic

Abstract

Keywords

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