Low-order IIR filter bank design

Tuan, HD; Son, TT; Apkarian, P; Nguyen, TQ

Low-order IIR filter bank design

Tuan, HD

Son, TT Apkarian, P Nguyen, TQ

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Circuits and Systems I: Regular Papers, 2005, 52 (8), pp. 1673 - 1683
Issue Date:: 2005-08-01

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Field	Value	Language
dc.contributor.author	Tuan, HD https://orcid.org/0000-0003-0292-6061	en_US
dc.contributor.author	Son, TT	en_US
dc.contributor.author	Apkarian, P	en_US
dc.contributor.author	Nguyen, TQ	en_US
dc.date.issued	2005-08-01	en_US
dc.identifier.citation	IEEE Transactions on Circuits and Systems I: Regular Papers, 2005, 52 (8), pp. 1673 - 1683	en_US
dc.identifier.issn	1057-7122	en_US
dc.identifier.uri	http://hdl.handle.net/10453/15244
dc.description.abstract	The advantage of infinite-impulse response (IIR) filters over finite-impulse response (FIR) ones is that the former require a much lower order (much fewer multipliers and adders) to obtain the desired response specifications. However, in contrast with well-developed FIR filter bank design theory, there is no satisfactory methodology for IIR filter bank design. The well-known IIR filters are mostly derived by rather heuristic techniques, which work in only narrow design classes. The existing deterministic techniques usually lead to too high order IIR filters and thus cannot be practically used. In this paper, we propose a new method to solve the low-order IIR filter bank design, which is based on tractable linear-matrix inequality (LMI) optimization. Our focus is the quadrature mirror filter bank design, although other IIR filter related problems can be treated and solved in a similar way. The viability of our theoretical development is confirmed by extensive simulation. © 2005 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Circuits and Systems I: Regular Papers	en_US
dc.relation.isbasedon	10.1109/TCSI.2005.851673	en_US
dc.subject.classification	Electrical & Electronic Engineering	en_US
dc.title	Low-order IIR filter bank design	en_US
dc.type	Journal Article
utslib.citation.volume	8	en_US
utslib.citation.volume	52	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
dc.location.activity	ISI:000231534800020	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	closed_access
pubs.issue	8	en_US
pubs.publication-status	Published	en_US
pubs.volume	52	en_US

Abstract:

The advantage of infinite-impulse response (IIR) filters over finite-impulse response (FIR) ones is that the former require a much lower order (much fewer multipliers and adders) to obtain the desired response specifications. However, in contrast with well-developed FIR filter bank design theory, there is no satisfactory methodology for IIR filter bank design. The well-known IIR filters are mostly derived by rather heuristic techniques, which work in only narrow design classes. The existing deterministic techniques usually lead to too high order IIR filters and thus cannot be practically used. In this paper, we propose a new method to solve the low-order IIR filter bank design, which is based on tractable linear-matrix inequality (LMI) optimization. Our focus is the quadrature mirror filter bank design, although other IIR filter related problems can be treated and solved in a similar way. The viability of our theoretical development is confirmed by extensive simulation. © 2005 IEEE.

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http://hdl.handle.net/10453/15244