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Title: SVD analysis by synthesis of harmonic signals
Authors: Μπακαμίδης, Στυλιανός
Δενδρινός, Μάρκος Ν.
Καραγιάννης, Γεώργιος
Bakamidis, Stelios G.
Dendrinos, Markos N.
Karagiannis, Georgios A.
Item type: Journal article
Keywords: Signal detection;Spectral analysis;Harmonic analysis;Information retrieval;Ανίχνευση σήματος;Φασματική ανάλυση;SVD;Covariance matrix;Πίνακας συνδιασποράς;Eigenvalues and eigenfunctions;Ιδιοτιμές και ιδιοσυναρτήσεις;Αρμονική ανάλυση;Ανάκτηση πληροφοριών;Ανάλυση σήματος;Signal analysis;Signal resolution;Ανάλυση σήματος;Signal to noise ratio;Λόγος σήματος προς θόρυβο;Working environment noise;Θόρυβος εργασιακού περιβάλλοντος
Subjects: Computer science
Issue Date: 17-Apr-2015
Publisher: IEEE
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 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 a highly noisy environment with very short data lengths.
Language: English
Citation: Bakamidis, S., Dendrinos, M.N. and Carayannis, G. (1991). SVD analysis by synthesis of harmonic signals. Αcoustics Speech and Signal Processing (ASSP), IEEE, 39(2). February 1991. pp 472-477. Available from:
Journal: Αcoustics Speech and Signal Processing (ASSP), IEEE,
Type of Journal: With a review process (peer review)
Sponsor: IEEE Signal Processing Society
Access scheme: Embargo
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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