Symmetric orthogonal complex-valued filter bank design by semidefinite programming

Kha, HH; Tuan, HD; Vo, BN; Nguyen, TQ

Symmetric orthogonal complex-valued filter bank design by semidefinite programming

Kha, HH Tuan, HD

Vo, BN Nguyen, TQ

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Signal Processing, 2007, 55 (9), pp. 4405 - 4414
Issue Date:: 2007-09-01

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Field	Value	Language
dc.contributor.author	Kha, HH	en_US
dc.contributor.author	Tuan, HD https://orcid.org/0000-0003-0292-6061	en_US
dc.contributor.author	Vo, BN	en_US
dc.contributor.author	Nguyen, TQ	en_US
dc.date.issued	2007-09-01	en_US
dc.identifier.citation	IEEE Transactions on Signal Processing, 2007, 55 (9), pp. 4405 - 4414	en_US
dc.identifier.issn	1053-587X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/15409
dc.description.abstract	A new design method for complex-valued two-channel finite impulse response (FIR) filter banks with both orthogonality and symmetry properties is developed. Based on a novel linear matrix inequality (LMI) characterization of trigonometric curves, the optimal design of perfect-reconstruction filter banks is cast into a semidefinite programming (SDP) problem. The dimension of the resulting SDP problem is further reduced by exploiting convex duality. Consequently, the globally optimal solution can be found for any practical filter length and desired regularity order. © 2007 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Signal Processing	en_US
dc.relation.isbasedon	10.1109/TSP.2007.896288	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	Symmetric orthogonal complex-valued filter bank design by semidefinite programming	en_US
dc.type	Journal Article
utslib.citation.volume	9	en_US
utslib.citation.volume	55	en_US
utslib.for	0903 Biomedical Engineering	en_US
dc.location.activity	ISI:000248977500006	en_US
dc.location.activity	Tasmania
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	9	en_US
pubs.publication-status	Published	en_US
pubs.volume	55	en_US

Abstract:

A new design method for complex-valued two-channel finite impulse response (FIR) filter banks with both orthogonality and symmetry properties is developed. Based on a novel linear matrix inequality (LMI) characterization of trigonometric curves, the optimal design of perfect-reconstruction filter banks is cast into a semidefinite programming (SDP) problem. The dimension of the resulting SDP problem is further reduced by exploiting convex duality. Consequently, the globally optimal solution can be found for any practical filter length and desired regularity order. © 2007 IEEE.

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http://hdl.handle.net/10453/15409