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Harmonic signal modeling using adaptive nonlinear function estimation
1996 (English)In: Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on, 1996, Vol. 5, 2952-2955 p.Conference paper (Refereed)
Abstract [en]

It is well-known that sine waves produce harmonic overtones when passed through static nonlinear functions. This paper describes a new algorithm where an arbitrary periodic signal is estimated recursively. The estimated signal model is typically parameterised as a real sine wave with unknown frequency in cascade with a piecewise linear function. A recursive Gauss-Newton prediction error identification algorithm for joint estimation of the driving frequency and the parameters of the nonlinear output function can then be derived. The approach handles colored measurement disturbances and gives a direct measure of the size of the nonlinearity that corresponds to the harmonic spectrum. The Cramer-Rao bound (CRB) is also calculated in the paper

Place, publisher, year, edition, pages
1996. Vol. 5, 2952-2955 p.
Keyword [en]
Cramer-Rao bound;adaptive nonlinear function estimation;arbitrary periodic signal;colored measurement disturbances;driving frequency;harmonic overtones;harmonic signal modeling;harmonic spectrum;nonlinear output function;piecewise linear function;recursive Gauss-Newton prediction error identification algorithm ;recursive estimation;sine waves;static nonlinear functions;adaptive estimation;error analysis;frequency estimation;harmonic analysis;identification;piecewise-linear techniques;prediction theory;recursive estimation;spectral analysis;
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:kth:diva-43902DOI: 10.1109/ICASSP.1996.550173OAI: diva2:448902
IEEE International Conference on Acoustics, Speech, and Signal Processing. Atlanta, GA , USA. 07 maj 1996 - 10 maj 1996
QC 20111110Available from: 2011-10-18 Created: 2011-10-18 Last updated: 2011-11-10Bibliographically approved

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Händel, Peter
Electrical Engineering, Electronic Engineering, Information Engineering

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