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https://hdl.handle.net/2440/113287
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Type: | Journal article |
Title: | Generalized dissipativity analysis of digital filters with finite-wordlength arithmetic |
Author: | Ahn, C. Shi, P. |
Citation: | IEEE Transactions on Circuits and Systems, Part 2: Express Briefs, 2016; 63(4):386-390 |
Publisher: | IEEE |
Issue Date: | 2016 |
ISSN: | 1549-7747 1558-3791 |
Statement of Responsibility: | Choon Ki Ahn, Peng Shi |
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. |
Keywords: | Digital filter; feedback interconnection; finite-wordlength arithmetic; generalized dissipativity |
Rights: | © 2015 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. |
DOI: | 10.1109/TCSII.2015.2503578 |
Published version: | http://dx.doi.org/10.1109/tcsii.2015.2503578 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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