Optimal parameters of a sinusoidal representation of signals

Kocsor András and Tóth László and Bálint Imre: Optimal parameters of a sinusoidal representation of signals. In: Acta cybernetica, (14) 2. pp. 315-330. (1999)

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In the spectral analysis of digital signals, one of the most useful parametric models is the representation by a sum of phase-shifted sinusoids in form of Ansm(ujnt + <pn), where An, w„, and ipn are the component's amplitude, frequency and phase, respectively. This model generally fits well speech and most musical signals due to the shape of the representation functions. If using all of the above parameters, a quite difficult optimization problem arises. The applied methods are generally based on eigenvalue decomposition [3]. However this procedure is computationally expensive and works only if the sinusoids and the residual signal are statistically uncorrelated. To speed up the representation process also rather ad hoc methods occur [4]. The presented algorithm applies the newly established Homogeneous Sinus Representation Function (HSRF) to find the best representing subspace of fixed dimension N by a BFGS optimization. The optimum parameters {A,tu,(p} ensure the mean square error of approximation to be below a preset threshold.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 1999
Volume: 14
Number: 2
ISSN: 0324-721X
Page Range: pp. 315-330
Language: English
Place of Publication: Szeged
Event Title: Conference for PhD Students in Computer Science (1.) (1998) (Szeged)
Related URLs: http://acta.bibl.u-szeged.hu/38508/
Uncontrolled Keywords: Számítástechnika, Kibernetika
Additional Information: Bibliogr.: p. 329-330. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2016. Oct. 15. 12:26
Last Modified: 2022. Jun. 14. 09:28
URI: http://acta.bibl.u-szeged.hu/id/eprint/12629

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