SVD analysis by synthesis of harmonic signals

Bakamidis, S; Dendrinos, M; Carayannis, G

dc.contributor.author	Bakamidis, S	en
dc.contributor.author	Dendrinos, M	en
dc.contributor.author	Carayannis, G	en
dc.date.accessioned	2014-03-01T01:08:34Z
dc.date.available	2014-03-01T01:08:34Z
dc.date.issued	1991	en
dc.identifier.issn	1053-587X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10576
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Mathematical Techniques - Estimation	en
dc.subject.other	Harmonic Signals	en
dc.subject.other	Signal Reconstruction	en
dc.subject.other	Singular Value Decomposition	en
dc.subject.other	Spectral Estimation	en
dc.subject.other	Spectrum Analysis	en
dc.title	SVD analysis by synthesis of harmonic signals	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/78.80831	en
heal.identifier.secondary	http://dx.doi.org/10.1109/78.80831	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	An analysis by synthesis procedure based on the singular value decomposition (SVD) methodology is proposed. Using this procedure, a criterion for detecting the number of sinusoidal signals in the presence of noise is defined. Consecutive reconstructions are performed, and the resulting error power is compared to the noise variance in order to get the the best approximation of the original noncorrupted signal. The number of the singular values corresponding to a reconstruction error power as close as possible to the noise variance gives the parsimonious order. The existence of such a criterion is important for both high-quality reconstruction and spectral analysis. Various spectral estimation techniques used on a reconstructed signal make it possible to retrieve harmonics in highly noisy environment with very short data lengths.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Signal Processing	en
dc.identifier.doi	10.1109/78.80831	en
dc.identifier.isi	ISI:A1991EU96300022	en
dc.identifier.volume	39	en
dc.identifier.issue	2	en
dc.identifier.spage	472	en
dc.identifier.epage	477	en