Optimal triplet halfband filter banks with K-regularity and image coding application

Kha, HH; Tuan, HD; Nguyen, TQ

Optimal triplet halfband filter banks with K-regularity and image coding application

Kha, HH Tuan, HD

Nguyen, TQ

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Publication Type:: Conference Proceeding
Citation:: HUT-ICCE 2008 - 2nd International Conference on Communications and Electronics, 2008, pp. 230 - 234
Issue Date:: 2008-09-17

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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	2008-09-17	en_US
dc.identifier.citation	HUT-ICCE 2008 - 2nd International Conference on Communications and Electronics, 2008, pp. 230 - 234	en_US
dc.identifier.isbn	9781424424269	en_US
dc.identifier.uri	http://hdl.handle.net/10453/31199
dc.description.abstract	The triplet halfband filter bank structure is well known to be efficient for the design and implementation of a class of biorthogonal wavelet filter banks. Previously, two extreme cases in filter characteristics including equiripple filters with no regularity and maximally flat filters with poor frequency selectivity have mainly been treated. This paper proposes an efficient semi-definite programming (SDP) method for the design of linear phase finite impulse response (FIR) triplet halfband filter banks whose filters have optimal frequency selectivity for a prescribed regularity order. By using the linear matrix inequality (LMI) characterization of the trigonometric semi-infinite constraints, the design problem can be exactly cast as an SDP problem with a small number of variables and, hence, can be solved efficiently. A design example of the triplet halfband filter bank with different regularity orders is provided to validate the proposed method. Finally, the image coding performance of the filter bank is presented. ©2008 IEEE.	en_US
dc.relation.ispartof	HUT-ICCE 2008 - 2nd International Conference on Communications and Electronics	en_US
dc.title	Optimal triplet halfband filter banks with K-regularity and image coding application	en_US
dc.type	Conference Proceeding
utslib.for	0906 Electrical and Electronic Engineering	en_US
dc.location.activity	Hoi An, Vietnam
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

Abstract:

The triplet halfband filter bank structure is well known to be efficient for the design and implementation of a class of biorthogonal wavelet filter banks. Previously, two extreme cases in filter characteristics including equiripple filters with no regularity and maximally flat filters with poor frequency selectivity have mainly been treated. This paper proposes an efficient semi-definite programming (SDP) method for the design of linear phase finite impulse response (FIR) triplet halfband filter banks whose filters have optimal frequency selectivity for a prescribed regularity order. By using the linear matrix inequality (LMI) characterization of the trigonometric semi-infinite constraints, the design problem can be exactly cast as an SDP problem with a small number of variables and, hence, can be solved efficiently. A design example of the triplet halfband filter bank with different regularity orders is provided to validate the proposed method. Finally, the image coding performance of the filter bank is presented. ©2008 IEEE.

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