Efficient design of cosine-modulated filter banks via convex optimization

Kha, HH; Tuan, HD; Nguyen, TQ

Efficient design of cosine-modulated filter banks via convex optimization

Kha, HH Tuan, HD

Nguyen, TQ

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Signal Processing, 2009, 57 (3), pp. 966 - 976
Issue Date:: 2009-03-10

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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	Nguyen, TQ	en_US
dc.date.issued	2009-03-10	en_US
dc.identifier.citation	IEEE Transactions on Signal Processing, 2009, 57 (3), pp. 966 - 976	en_US
dc.identifier.issn	1053-587X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/15285
dc.description.abstract	This paper presents efficient approaches for designing cosine-modulated filter banks with linear phase prototype filter. First, we show that the design problem of the prototype filter being a spectral factor of 2M th-band filter is a nonconvex optimization problem with low degree of nonconvexity. As a result, the nonconvex optimization problem can be cast into a semi-definite programming (SDP) problem by a convex relaxation technique. Then the reconstruction error is further minimized by an efficient iterative algorithm in which the closed-form expression is given in each iteration. Several examples are given to illustrate the effectiveness of the proposed method over the existing ones. © 2009 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Signal Processing	en_US
dc.relation.isbasedon	10.1109/TSP.2008.2009268	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	Efficient design of cosine-modulated filter banks via convex optimization	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:000263431900013	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:

This paper presents efficient approaches for designing cosine-modulated filter banks with linear phase prototype filter. First, we show that the design problem of the prototype filter being a spectral factor of 2M th-band filter is a nonconvex optimization problem with low degree of nonconvexity. As a result, the nonconvex optimization problem can be cast into a semi-definite programming (SDP) problem by a convex relaxation technique. Then the reconstruction error is further minimized by an efficient iterative algorithm in which the closed-form expression is given in each iteration. Several examples are given to illustrate the effectiveness of the proposed method over the existing ones. © 2009 IEEE.

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http://hdl.handle.net/10453/15285