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Iterative Algorithm for High Resolution Frequency Estimation

dc.contributor.authorDuarte, Isabel M. P.
dc.contributor.authorVieira, José M. N.
dc.contributor.authorFerreira, Paulo J S G
dc.contributor.authorAlbuquerque, Daniel
dc.date.accessioned2015-02-09T16:38:12Z
dc.date.available2015-02-09T16:38:12Z
dc.date.issued2014-11-06
dc.description.abstractCompressed sensing (CS) is a theory that allows us to recover sparse or compressible signals from a much smaller number of samples or measurements than with traditional methods. The problem of detection and estimation of the frequency of a signal is more difficult when the frequencies of the signal are not present on the DFT basis. The Fourier coefficients are not exactly sparse due to the leakage effect if the frequency is not a multiple of the fundamental frequency. In this work we present a high frequency resolution spectrum estimation algorithm that explores the CS, for this type of nonperiodic signal from finite number of samples. It takes advantage of the sparsity of the signal in the frequency domain. The algorithm transforms the DFT basis into a frame with a large number of vectors by inserting columns between some of the existing ones. The proposed algorithm can estimate the amplitudes and frequencies even when the frequencies are too close together, a particularly difficult situation which are not covered by most of the known algorithms. Simulation results show good convergence and a high resolution when compared with other algorithmspor
dc.description.sponsorshipCenter for Studies in Education,Technologies and Health (CI&DETS)por
dc.identifier.doi10.7763/IJIEE
dc.identifier.issn2010-3719
dc.identifier.urihttp://hdl.handle.net/10400.19/2602
dc.language.isoporpor
dc.peerreviewedyespor
dc.publisherProf. Chandratilak De Silva Liyanagepor
dc.relation2014 - Strategic Project
dc.subjectCompressed sensingpor
dc.subjectredundant framespor
dc.subjectsignalpor
dc.subjectsparse representationspor
dc.subjectspectral estimationpor
dc.titleIterative Algorithm for High Resolution Frequency Estimationpor
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitle2014 - Strategic Project
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FCED%2FUI4016%2F2014/PT
oaire.citation.endPage417por
oaire.citation.startPage413por
oaire.citation.titleInternational Journal of Information and Electronics Engineeringpor
oaire.citation.volume4 (6)por
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspor
rcaap.typearticlepor
relation.isProjectOfPublication9bb41fba-3e16-41f2-a288-42faa7857edb
relation.isProjectOfPublication.latestForDiscovery9bb41fba-3e16-41f2-a288-42faa7857edb

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