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Accurate Spectral Estimation of Non-periodic Signals Based on Compressive Sensing

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.accessioned2015-02-09T16:40:42Z
dc.date.available2015-02-09T16:40:42Z
dc.date.issued2013-09-12
dc.description.abstractIn this work we propose a method based on compressive sensing (CS) for estimating the spectrum of a signal written as a linear combination of a small number of sinusoids. In practice one deals with signals with finite-length and so the Fourier coefficients are not exactly sparse. Due to the leakage effect in the case where the frequency is not a multiple of the fundamental frequency of the DFT, the success of the traditional CS algorithms is limited. To overcome this problem our algorithm transform the DFT basis into a frame with a larger number of vectors, by inserting a small number of columns between some of the initial ones. The algorithm takes advantage of the compactness of the interpolation function that results from the ‘1 norm minimization of the Basis Pursuit (BP) and is based on the compressive sensing theory that allows us to acquire and represent sparse and compressible signals, using a much lower sampling rate than the Nyquist rate. Our method allow us to estimate the sinusoids amplitude, phase and frequency.por
dc.identifier.doi10.1007/978-94-007-6818-5_18
dc.identifier.isbn978-94-007-6817-8
dc.identifier.urihttp://hdl.handle.net/10400.19/2603
dc.language.isoporpor
dc.peerreviewedyespor
dc.publisherSpringer Netherlandspor
dc.subjectBasis Pursuitpor
dc.subjectCompressive sensingpor
dc.subjectInterpolating functionpor
dc.subjectRedundant framespor
dc.subjectSparse representationspor
dc.subjectSpectral estimationpor
dc.titleAccurate Spectral Estimation of Non-periodic Signals Based on Compressive Sensingpor
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage254por
oaire.citation.startPage241por
oaire.citation.titleIAENG Transactions on Engineering Technologies, Lecture Notes in Electrical Engineering 247por
oaire.citation.volume247por
rcaap.rightsclosedAccesspor
rcaap.typebookPartpor

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