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dc.contributor.authorAhmed, Adeel*
dc.contributor.authorHu, Yim Fun*
dc.contributor.authorNoras, James M.*
dc.contributor.authorPillai, Prashant*
dc.date.accessioned2016-10-21T11:21:27Z
dc.date.available2016-10-21T11:21:27Z
dc.date.issued2016-03
dc.identifier.citationAhmed A, Hu YF, Noras JM and Pillai P (2016) A universal two-way approach for estimating unknown frequencies for unknown number of sinusoids in a signal based on eigenspace analysis of Hankel matrix. Signal, Image and Video Processing. 10(3): 543-549.en_US
dc.identifier.urihttp://hdl.handle.net/10454/10003
dc.descriptionYesen_US
dc.description.abstractWe develop a novel approach to estimate the n unknown constituent frequencies of a noiseless signal that comprises of unknown number, n, of sinusoids of unknown phases and unknown amplitudes. The new two way approach uses two constraints to accurately estimate the unknown frequencies of the sinusoidal components in a signal. The new approach serves as a verification test for the estimated unknown frequencies through the estimated count of the unknown number of frequencies. The Hankel matrix, of the time domain samples of the signal, is used as a basis for further analysis in the Pisarenko harmonic decomposition. The new constraints, the Existence Factor (EF) and the Component Factor (CF), have been introduced in the methodology based on the relationships between the components of the sinusoidal signal and the eigenspace of the Hankel matrix. The performance of the developed approach has been tested to correctly estimate any number of frequencies within a signal with or without a fixed unknown bias. The method has also been tested to accurately estimate the very closely spaced low frequencies.en_US
dc.description.sponsorshipInnovate UKen_US
dc.language.isoenen_US
dc.relation.isreferencedbyhttp://dx.doi.org/10.1007/s11760-015-0770-8en_US
dc.rightsThe final publication is available at Springer via http://dx.doi.org/10.1007/s11760-015-0770-8en_US
dc.subjectHarmonic analysis; Frequency estimation; Spectral analysisen_US
dc.titleA universal two-way approach for estimating unknown frequencies for unknown number of sinusoids in a signal based on eigenspace analysis of Hankel matrixen_US
dc.status.refereedYesen_US
dc.date.application2015-04-25
dc.typeArticleen_US
dc.type.versionAccepted Manuscripten_US
refterms.dateFOA2018-07-26T09:31:34Z


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