Frequency-selective KYP lemma, IIR filter, and filter bank design

Hoang, HG; Tuan, HD; Nguyen, TQ

Frequency-selective KYP lemma, IIR filter, and filter bank design

Hoang, HG Tuan, HD

Nguyen, TQ

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Signal Processing, 2009, 57 (3), pp. 956 - 965
Issue Date:: 2009-03-10

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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	2009-03-10	en_US
dc.identifier.citation	IEEE Transactions on Signal Processing, 2009, 57 (3), pp. 956 - 965	en_US
dc.identifier.issn	1053-587X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/15375
dc.description.abstract	For a transfer function F(ejω) of order n, Kalman-Yakubovich-Popov (KYP) lemma characterizes a general intractable semi-infinite programming (SIP) condition by a tractable semidefinite programming (SDP) for the entire frequency range. Some recent results generalize this lemma for a certain frequency interval. All these SDP characterizations are given at the expense of the introduced Lyapunov matrix variable of dimension n × n. Consequently, formulation and design of high dimensional problem is challenging. Moreover, existing SDP characterizations for frequency-selective SIP (FS-SIP) do not allow to formulate synthesis problems as SDPs. In this paper, we propose a completely new SDP characterization of general FS-SIP involving SDPs of moderate size and free from Lyapunov variables. Furthermore, a systematic IIR filter and filter bank design is developed in a similar vein, with several simulations provided to validate the effectiveness of our SDP formulation. © 2009 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Signal Processing	en_US
dc.relation.isbasedon	10.1109/TSP.2008.2009012	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	Frequency-selective KYP lemma, IIR filter, and filter bank design	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	57	en_US
utslib.for	0903 Biomedical Engineering	en_US
dc.location.activity	ISI:000263431900012	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	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	57	en_US

Abstract:

For a transfer function F(ejω) of order n, Kalman-Yakubovich-Popov (KYP) lemma characterizes a general intractable semi-infinite programming (SIP) condition by a tractable semidefinite programming (SDP) for the entire frequency range. Some recent results generalize this lemma for a certain frequency interval. All these SDP characterizations are given at the expense of the introduced Lyapunov matrix variable of dimension n × n. Consequently, formulation and design of high dimensional problem is challenging. Moreover, existing SDP characterizations for frequency-selective SIP (FS-SIP) do not allow to formulate synthesis problems as SDPs. In this paper, we propose a completely new SDP characterization of general FS-SIP involving SDPs of moderate size and free from Lyapunov variables. Furthermore, a systematic IIR filter and filter bank design is developed in a similar vein, with several simulations provided to validate the effectiveness of our SDP formulation. © 2009 IEEE.

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http://hdl.handle.net/10453/15375