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Article: Design and Factorization of Two-Channel Perfect Reconstruction Filter Banks with Causal-Stable IIR Filters

TitleDesign and Factorization of Two-Channel Perfect Reconstruction Filter Banks with Causal-Stable IIR Filters
Authors
KeywordsCosine-Rolloff
Factorization
Filter Bank
Model Reduction
Multiplier-Less
Perfect Reconstruction
Issue Date2012
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/content/120889/
Citation
Journal Of Signal Processing Systems, 2012, v. 68 n. 3, p. 353-366 How to Cite?
AbstractIn this paper, new design and factorization methods of two-channel perfect reconstruction (PR) filter banks (FBs) with casual-stable IIR filters are introduced. The polyphase components of the analysis filters are assumed to have an identical denominator in order to simplify the PR condition. A modified model reduction is employed to derive a nearly PR causal-stable IIR FB as the initial guess to obtain a PR IIR FB from a PR FIR FB. To obtain high quality PR FIR FBs for carrying out model reduction, cosine-rolloff FIR filters are used as the initial guess to a nonlinear optimization software for solving to the PR solution. A factorization based on the lifting scheme is proposed to convert the IIR FB so obtained to a structurally PR system. The arithmetic complexity of this FB, after factorization, can be reduced asymptotically by a factor of two. Multiplier-less IIR FB can be obtained by replacing the lifting coefficients with the canonical signal digitals (CSD) or sum of powers of two (SOPOT) coefficients. © 2011 Springer Science+Business Media, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/155668
ISSN
2015 Impact Factor: 0.508
2015 SCImago Journal Rankings: 0.262
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation of China (NSFC)61102118
Natural Science Foundation of Anhui Province Higher Education InstitutionsKJ2011Z002
Funding Information:

This paper is supported by National Natural Science Foundation of China (NSFC) (No. 61102118) and Natural Science Foundation of Anhui Province Higher Education Institutions (No. KJ2011Z002).

 

DC FieldValueLanguage
dc.contributor.authorYin, SSen_US
dc.contributor.authorChan, SCen_US
dc.date.accessioned2012-08-08T08:34:44Z-
dc.date.available2012-08-08T08:34:44Z-
dc.date.issued2012en_US
dc.identifier.citationJournal Of Signal Processing Systems, 2012, v. 68 n. 3, p. 353-366en_US
dc.identifier.issn1939-8018en_US
dc.identifier.urihttp://hdl.handle.net/10722/155668-
dc.description.abstractIn this paper, new design and factorization methods of two-channel perfect reconstruction (PR) filter banks (FBs) with casual-stable IIR filters are introduced. The polyphase components of the analysis filters are assumed to have an identical denominator in order to simplify the PR condition. A modified model reduction is employed to derive a nearly PR causal-stable IIR FB as the initial guess to obtain a PR IIR FB from a PR FIR FB. To obtain high quality PR FIR FBs for carrying out model reduction, cosine-rolloff FIR filters are used as the initial guess to a nonlinear optimization software for solving to the PR solution. A factorization based on the lifting scheme is proposed to convert the IIR FB so obtained to a structurally PR system. The arithmetic complexity of this FB, after factorization, can be reduced asymptotically by a factor of two. Multiplier-less IIR FB can be obtained by replacing the lifting coefficients with the canonical signal digitals (CSD) or sum of powers of two (SOPOT) coefficients. © 2011 Springer Science+Business Media, LLC.en_US
dc.languageengen_US
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/content/120889/en_US
dc.relation.ispartofJournal of Signal Processing Systemsen_US
dc.subjectCosine-Rolloffen_US
dc.subjectFactorizationen_US
dc.subjectFilter Banken_US
dc.subjectModel Reductionen_US
dc.subjectMultiplier-Lessen_US
dc.subjectPerfect Reconstructionen_US
dc.titleDesign and Factorization of Two-Channel Perfect Reconstruction Filter Banks with Causal-Stable IIR Filtersen_US
dc.typeArticleen_US
dc.identifier.emailChan, SC:scchan@eee.hku.hken_US
dc.identifier.authorityChan, SC=rp00094en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s11265-011-0624-8en_US
dc.identifier.scopuseid_2-s2.0-84907380156en_US
dc.identifier.spage353en_US
dc.identifier.epage366en_US
dc.identifier.isiWOS:000304210700005-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridYin, SS=16553722700en_US
dc.identifier.scopusauthoridChan, SC=13310287100en_US
dc.identifier.citeulike9904809-

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