Frequency selective KYP lemma and its applications to IIR filter bank design

Hoang, HG; Tuan, HD; Nguyen, TQ

Frequency selective KYP lemma and its applications to IIR filter bank design

Hoang, HG Tuan, HD

Nguyen, TQ

Permalink

Publication Type:: Conference Proceeding
Citation:: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 2007, 3
Issue Date:: 2007-08-06

Closed Access

	Filename	Description	Size
	2010003620OK.pdf		204.54 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Hoang, HG	en_US
dc.contributor.author	Tuan, HD https://orcid.org/0000-0003-0292-6061	en_US
dc.contributor.author	Nguyen, TQ	en_US
dc.date.issued	2007-08-06	en_US
dc.identifier.citation	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 2007, 3	en_US
dc.identifier.isbn	1424407281	en_US
dc.identifier.isbn	9781424407286	en_US
dc.identifier.issn	1520-6149	en_US
dc.identifier.uri	http://hdl.handle.net/10453/17682
dc.description.abstract	For a transfer function/filter F(εω) of order n, Kalman-Yakubovich-Popov (KYP) lemma characterizes the intractable semi-infinite programming (SIP) condition F(εω)1 ⊖(ε ω)T ≥ 0 V ω in frequency domain by a tractable semi-definite programming (SDP) in state-space domain. Some recent results generalize this lemma to SDP for SIP of frequency selectivity(FS-SIP). All these SDP characterizations are given at the expense of the introduced Lyapunov matrix variable of dimension n × n, making them impractical for high order problem. Moreover, the existing SDP characterizations for FS-SIP do not allow to formulate synthesis/design problems as SDPs. In this paper, we propose a completely new SDP characterization of general FS-SIP, which is of moderate size and is free from Lyapunov variables. Extensive examples are provided to validate the effectiveness of our result. © 2007 IEEE.	en_US
dc.relation.ispartof	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings	en_US
dc.relation.isbasedon	10.1109/ICASSP.2007.367122	en_US
dc.title	Frequency selective KYP lemma and its applications to IIR filter bank design	en_US
dc.type	Conference Proceeding
utslib.citation.volume	3	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
dc.location.activity	Honolulu, HI	en_US
dc.location.activity	WOS:000207625300007
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.publication-status	Published	en_US
pubs.volume	3	en_US

Abstract:

For a transfer function/filter F(εω) of order n, Kalman-Yakubovich-Popov (KYP) lemma characterizes the intractable semi-infinite programming (SIP) condition F(εω)1 ⊖(ε ω)T ≥ 0 V ω in frequency domain by a tractable semi-definite programming (SDP) in state-space domain. Some recent results generalize this lemma to SDP for SIP of frequency selectivity(FS-SIP). All these SDP characterizations are given at the expense of the introduced Lyapunov matrix variable of dimension n × n, making them impractical for high order problem. Moreover, the existing SDP characterizations for FS-SIP do not allow to formulate synthesis/design problems as SDPs. In this paper, we propose a completely new SDP characterization of general FS-SIP, which is of moderate size and is free from Lyapunov variables. Extensive examples are provided to validate the effectiveness of our result. © 2007 IEEE.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/17682