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Conference Paper: On the design of real and complex fir filters with flatness and peak error constraints using semidefinite programming

TitleOn the design of real and complex fir filters with flatness and peak error constraints using semidefinite programming
Authors
KeywordsElectronics
Issue Date2004
PublisherIEEE.
Citation
Proceedings - Ieee International Symposium On Circuits And Systems, 2004, v. 3, p. III125-III128 How to Cite?
AbstractThis paper studies the problem of designing digital finite duration impulse response (FIR) filters with prescribed flatness and peak error constraints using semidefinite programming (SDP). SDP is a powerful convex optimization method, where linear and convex quadratic inequality constraints can readily be incorporated. This property is utilized for the optimal minimax and least squares (LS) design of linear-phase and low-delay FIR filters with prescribed magnitude flatness and peak design error, which are formulated as a set of linear equality and convex quadratic inequality constraints, respectively. A method for structurally imposing these equality constraints in the SDP formulation is also proposed. Using these results, the design approach is further extended to the design of constrained complex coefficient FIR filters and variable digital filters (VDFs). Design examples are given to demonstrate the effectiveness of the approach.
Persistent Identifierhttp://hdl.handle.net/10722/46428
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorChan, SCen_HK
dc.contributor.authorTsui, KMen_HK
dc.date.accessioned2007-10-30T06:49:39Z-
dc.date.available2007-10-30T06:49:39Z-
dc.date.issued2004en_HK
dc.identifier.citationProceedings - Ieee International Symposium On Circuits And Systems, 2004, v. 3, p. III125-III128en_HK
dc.identifier.issn0271-4310en_HK
dc.identifier.urihttp://hdl.handle.net/10722/46428-
dc.description.abstractThis paper studies the problem of designing digital finite duration impulse response (FIR) filters with prescribed flatness and peak error constraints using semidefinite programming (SDP). SDP is a powerful convex optimization method, where linear and convex quadratic inequality constraints can readily be incorporated. This property is utilized for the optimal minimax and least squares (LS) design of linear-phase and low-delay FIR filters with prescribed magnitude flatness and peak design error, which are formulated as a set of linear equality and convex quadratic inequality constraints, respectively. A method for structurally imposing these equality constraints in the SDP formulation is also proposed. Using these results, the design approach is further extended to the design of constrained complex coefficient FIR filters and variable digital filters (VDFs). Design examples are given to demonstrate the effectiveness of the approach.en_HK
dc.format.extent616944 bytes-
dc.format.extent2563 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.ispartofProceedings - IEEE International Symposium on Circuits and Systemsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
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.subjectElectronicsen_HK
dc.titleOn the design of real and complex fir filters with flatness and peak error constraints using semidefinite programmingen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0271-4302&volume=3&spage=125&epage=128&date=2004&atitle=On+the+design+of+real+and+complex+FIR+filters+with+flatness+and+peak+error+constraints+using+semidefinite+programmingen_HK
dc.identifier.emailChan, SC:scchan@eee.hku.hken_HK
dc.identifier.emailTsui, KM:kmtsui@eee.hku.hken_HK
dc.identifier.authorityChan, SC=rp00094en_HK
dc.identifier.authorityTsui, KM=rp00181en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/ISCAS.2004.1328699en_HK
dc.identifier.scopuseid_2-s2.0-4344628791en_HK
dc.identifier.hkuros90056-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4344628791&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume3en_HK
dc.identifier.spageIII125en_HK
dc.identifier.epageIII128en_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK
dc.identifier.scopusauthoridTsui, KM=7101671591en_HK

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