Algebraic parameter estimation of a multi-sinusoidal waveform signal from noisy data

Abstract : In this paper, we apply an algebraic method to estimate the amplitudes, phases and frequencies of a biased and noisy sum of complex exponential sinusoidal signals. Let us stress that the obtained estimates are integrals of the noisy measured signal: these integrals act as time-varying filters. Compared to usual approaches, our algebraic method provides a more robust estimation of these parameters within a fraction of the signal's period. We provide some computer simulations to demonstrate the efficiency of our method.
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Conference papers
European Control Conference, Jul 2013, Zurich, Switzerland. 2013
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https://hal.inria.fr/hal-00819048
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Submitted on : Tuesday, April 30, 2013 - 7:40:56 PM
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Rosane Ushirobira, Wilfrid Perruquetti, Mamadou Mboup, Michel Fliess. Algebraic parameter estimation of a multi-sinusoidal waveform signal from noisy data. European Control Conference, Jul 2013, Zurich, Switzerland. 2013. <hal-00819048>

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