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Article: Design of FIR digital filters with prescribed flatness and peak error constraints using second-order cone programming

TitleDesign of FIR digital filters with prescribed flatness and peak error constraints using second-order cone programming
Authors
KeywordsConstrained finite impulse response (FIR) filter design
Digital differentiators
Low-delay (LD)
Magnitude and group delay flatness
Peak error constraints
Second-order cone programming (SOCP)
Issue Date2005
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2005, v. 52 n. 9, p. 601-605 How to Cite?
AbstractThis paper studies the design of digital finite impulse response (FIR) filters with prescribed flatness and peak design error constraints using second-order cone programming (SOCP). SOCP is a powerful convex optimization method, where linear and convex quadratic inequality constraints can readily be incorporated. It is utilized in this study for the optimal minimax and least squares design of linear-phase and low-delay (LD) FIR filters with prescribed magnitude flatness and peak design error. The proposed approach offers more flexibility than traditional maximally-flat approach for the tradeoff between the approximation error and the degree of design freedom. Using these results, new LD specialized filters such as digital differentiators, Hilbert Transformers, Mth band filters and variable digital filters with prescribed magnitude flatness constraints can also be derived. © 2005 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/73884
ISSN
2006 Impact Factor: 0.922
2007 SCImago Journal Rankings: 1.092
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTsui, KMen_HK
dc.contributor.authorChan, SCen_HK
dc.contributor.authorYeung, KSen_HK
dc.date.accessioned2010-09-06T06:55:41Z-
dc.date.available2010-09-06T06:55:41Z-
dc.date.issued2005en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems Ii: Express Briefs, 2005, v. 52 n. 9, p. 601-605en_HK
dc.identifier.issn1057-7130en_HK
dc.identifier.urihttp://hdl.handle.net/10722/73884-
dc.description.abstractThis paper studies the design of digital finite impulse response (FIR) filters with prescribed flatness and peak design error constraints using second-order cone programming (SOCP). SOCP is a powerful convex optimization method, where linear and convex quadratic inequality constraints can readily be incorporated. It is utilized in this study for the optimal minimax and least squares design of linear-phase and low-delay (LD) FIR filters with prescribed magnitude flatness and peak design error. The proposed approach offers more flexibility than traditional maximally-flat approach for the tradeoff between the approximation error and the degree of design freedom. Using these results, new LD specialized filters such as digital differentiators, Hilbert Transformers, Mth band filters and variable digital filters with prescribed magnitude flatness constraints can also be derived. © 2005 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE.-
dc.relation.ispartofIEEE Transactions on Circuits and Systems II: Express Briefsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsIEEE Transactions on Circuits and Systems Part 2: Express Briefs. Copyright © IEEE.-
dc.rights©2005 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.-
dc.subjectConstrained finite impulse response (FIR) filter designen_HK
dc.subjectDigital differentiatorsen_HK
dc.subjectLow-delay (LD)en_HK
dc.subjectMagnitude and group delay flatnessen_HK
dc.subjectPeak error constraintsen_HK
dc.subjectSecond-order cone programming (SOCP)en_HK
dc.titleDesign of FIR digital filters with prescribed flatness and peak error constraints using second-order cone programmingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-7747&volume=52&issue=9&spage=601&epage=605&date=2005&atitle=Design+of+FIR+digital+filters+with+prescribed+flatness+and+peak+error+constraints+using+second-order+cone+programming-
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_version-
dc.identifier.doi10.1109/TCSII.2005.850515en_HK
dc.identifier.scopuseid_2-s2.0-26844433955en_HK
dc.identifier.hkuros165352en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-26844433955&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume52en_HK
dc.identifier.issue9en_HK
dc.identifier.spage601en_HK
dc.identifier.epage605en_HK
dc.identifier.isiWOS:000231991700017-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridTsui, KM=7101671591en_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK
dc.identifier.scopusauthoridYeung, KS=7202425050en_HK

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