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Article: Multi-plet two-channel perfect reconstruction FIR and causal stable IIR filter banks

TitleMulti-plet two-channel perfect reconstruction FIR and causal stable IIR filter banks
Authors
KeywordsCausal stable infinite-impulse response (IIR)
Finite-impulse response (FIR)
K-regularity
Lifting structure
Low-delay
Multi-plet
Perfect reconstruction (PR) filter banks (FBs)
Second-order cone programming (SOCP)
Structural PR
Wavelet bases
Issue Date2006
PublisherIEEE.
Citation
IEEE Transactions On Circuits And Systems I: Regular Papers, 2006, v. 53 n. 12, p. 2804-2817 How to Cite?
AbstractThis paper proposes a new class of two-channel structural perfect reconstruction (PR) finite-impulse response/infinite-impulse response (FIR/IIR) filter banks (FBs) called the multi-plet FBs. It generalizes the structural PR FBs proposed by Phoong et al. and the conventional triplet FB in that it employs multiple lifting steps similar to the conventional lifting structure. Apart from the important structural PR property, the multi-plet FB can be systematically designed to meet a given specification on the passband/stopband ripples and transition bandwidth: a low-order prototype PR FB with a much wider transition band is first designed using nonlinear optimization in order to obtain a symmetric frequency response and prescribed passband and stopband ripples. As only a few variables are required, its performances can easily be controlled. A subfilter is then designed using second-order cone programming (SOCP) so that the prototype FB can be warped by means of frequency transformation to meet the desired transition bandwidth, while preserving the PR condition, passband/stopband ripples and lifting structure of the prototype FB. The design procedure is very general and it applies to both linear-phase/low-delay FIR and IIR multi-plet FBs. By formulating the K-regularity conditions as a set of linear equality constraints on the subfilter coefficients, multi-plet-based wavelet bases can easily be designed under the SOCP framework. Design examples show that the proposed approach offers more flexibility in controlling the frequency characteristics of the PR FBs and lower design complexity than conventional methods. © 2006 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/44761
ISSN
2006 Impact Factor: 1.139
2006 SCImago Journal Rankings: 1.111
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTsui, KMen_HK
dc.contributor.authorChan, SCen_HK
dc.date.accessioned2007-10-30T06:09:39Z-
dc.date.available2007-10-30T06:09:39Z-
dc.date.issued2006en_HK
dc.identifier.citationIEEE Transactions On Circuits And Systems I: Regular Papers, 2006, v. 53 n. 12, p. 2804-2817en_HK
dc.identifier.issn1057-7122en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44761-
dc.description.abstractThis paper proposes a new class of two-channel structural perfect reconstruction (PR) finite-impulse response/infinite-impulse response (FIR/IIR) filter banks (FBs) called the multi-plet FBs. It generalizes the structural PR FBs proposed by Phoong et al. and the conventional triplet FB in that it employs multiple lifting steps similar to the conventional lifting structure. Apart from the important structural PR property, the multi-plet FB can be systematically designed to meet a given specification on the passband/stopband ripples and transition bandwidth: a low-order prototype PR FB with a much wider transition band is first designed using nonlinear optimization in order to obtain a symmetric frequency response and prescribed passband and stopband ripples. As only a few variables are required, its performances can easily be controlled. A subfilter is then designed using second-order cone programming (SOCP) so that the prototype FB can be warped by means of frequency transformation to meet the desired transition bandwidth, while preserving the PR condition, passband/stopband ripples and lifting structure of the prototype FB. The design procedure is very general and it applies to both linear-phase/low-delay FIR and IIR multi-plet FBs. By formulating the K-regularity conditions as a set of linear equality constraints on the subfilter coefficients, multi-plet-based wavelet bases can easily be designed under the SOCP framework. Design examples show that the proposed approach offers more flexibility in controlling the frequency characteristics of the PR FBs and lower design complexity than conventional methods. © 2006 IEEE.en_HK
dc.format.extent867823 bytes-
dc.format.extent1814 bytes-
dc.format.extent27162 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Circuits and Systems I: Regular Papersen_HK
dc.rights©2006 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.subjectCausal stable infinite-impulse response (IIR)en_HK
dc.subjectFinite-impulse response (FIR)en_HK
dc.subjectK-regularityen_HK
dc.subjectLifting structureen_HK
dc.subjectLow-delayen_HK
dc.subjectMulti-pleten_HK
dc.subjectPerfect reconstruction (PR) filter banks (FBs)en_HK
dc.subjectSecond-order cone programming (SOCP)en_HK
dc.subjectStructural PRen_HK
dc.subjectWavelet basesen_HK
dc.titleMulti-plet two-channel perfect reconstruction FIR and causal stable IIR filter banksen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-8328&volume=53&issue=12&spage=2804&epage=2817&date=2006&atitle=Multi-Plet+Two-Channel+Perfect+Reconstruction+FIR+and+Causal+Stable+IIR+Filter+Banksen_HK
dc.identifier.emailTsui, KM:kmtsui@eee.hku.hken_HK
dc.identifier.emailChan, SC:scchan@eee.hku.hken_HK
dc.identifier.authorityTsui, KM=rp00181en_HK
dc.identifier.authorityChan, SC=rp00094en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TCSI.2006.885694en_HK
dc.identifier.scopuseid_2-s2.0-33845768924en_HK
dc.identifier.hkuros140411-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33845768924&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume53en_HK
dc.identifier.issue12en_HK
dc.identifier.spage2804en_HK
dc.identifier.epage2817en_HK
dc.identifier.isiWOS:000242950400031-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridTsui, KM=7101671591en_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK

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