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Article: New design and realization techniques for a class of perfect reconstruction two-channel FIR filterbanks and wavelets bases

TitleNew design and realization techniques for a class of perfect reconstruction two-channel FIR filterbanks and wavelets bases
Authors
Issue Date2004
PublisherIEEE.
Citation
Ieee Transactions On Signal Processing, 2004, v. 52 n. 7, p. 2135-2141 How to Cite?
AbstractThis paper proposes two new methods for designing a class of two-channel perfect reconstruction (PR) finite impulse response (FIR) filterbanks (FBs) and wavelets with K-regularity of high order and studies its multiplier-less implementation. It is based on the two-channel structural PR FB proposed by Phoong et al. The basic principle is to represent the K-regularity condition as a set of linear equality constraints in the design variables so that the least square and minimax design problems can be solved, respectively, as a quadratic programming problem with linear equality constraints (QPLC) and a semidefinite programming (SDP) problem. We also demonstrate that it is always possible to realize such FBs with sum-of-powers-of-two (SOPOT) coefficients while preserving the regularity constraints using Bernstein polynomials. However, this implementation usually requires long coefficient wordlength and another direct-form implementation, which can realize multiplier-less wavelets with K-regularity condition up to fifth order, is proposed. Several design examples are given to demonstrate the effectiveness of the proposed methods. © 2004 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/42960
ISSN
2015 Impact Factor: 2.624
2015 SCImago Journal Rankings: 2.004
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChan, SCen_HK
dc.contributor.authorPun, CKSen_HK
dc.contributor.authorHo, KLen_HK
dc.date.accessioned2007-03-23T04:35:32Z-
dc.date.available2007-03-23T04:35:32Z-
dc.date.issued2004en_HK
dc.identifier.citationIeee Transactions On Signal Processing, 2004, v. 52 n. 7, p. 2135-2141en_HK
dc.identifier.issn1053-587Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/42960-
dc.description.abstractThis paper proposes two new methods for designing a class of two-channel perfect reconstruction (PR) finite impulse response (FIR) filterbanks (FBs) and wavelets with K-regularity of high order and studies its multiplier-less implementation. It is based on the two-channel structural PR FB proposed by Phoong et al. The basic principle is to represent the K-regularity condition as a set of linear equality constraints in the design variables so that the least square and minimax design problems can be solved, respectively, as a quadratic programming problem with linear equality constraints (QPLC) and a semidefinite programming (SDP) problem. We also demonstrate that it is always possible to realize such FBs with sum-of-powers-of-two (SOPOT) coefficients while preserving the regularity constraints using Bernstein polynomials. However, this implementation usually requires long coefficient wordlength and another direct-form implementation, which can realize multiplier-less wavelets with K-regularity condition up to fifth order, is proposed. Several design examples are given to demonstrate the effectiveness of the proposed methods. © 2004 IEEE.en_HK
dc.format.extent339898 bytes-
dc.format.extent28160 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Signal Processingen_HK
dc.rights©2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleNew design and realization techniques for a class of perfect reconstruction two-channel FIR filterbanks and wavelets basesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1053-587X&volume=52&issue=7&spage=2135&epage=2141&date=2004&atitle=New+design+and+realization+techniques+for+a+class+of+perfect+reconstruction+two-channel+FIR+filterbanks+and+wavelets+basesen_HK
dc.identifier.emailChan, SC:scchan@eee.hku.hken_HK
dc.identifier.emailHo, KL:klho@eee.hku.hken_HK
dc.identifier.authorityChan, SC=rp00094en_HK
dc.identifier.authorityHo, KL=rp00117en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TSP.2004.828918en_HK
dc.identifier.scopuseid_2-s2.0-3142747690en_HK
dc.identifier.hkuros90027-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-3142747690&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume52en_HK
dc.identifier.issue7en_HK
dc.identifier.spage2135en_HK
dc.identifier.epage2141en_HK
dc.identifier.isiWOS:000222136200025-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK
dc.identifier.scopusauthoridPun, CKS=7003931849en_HK
dc.identifier.scopusauthoridHo, KL=7403581592en_HK

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