An algebraic continuous time parameter estimation for a sum of sinusoidal waveform signals

Abstract : In this paper, a novel algebraic method is proposed to estimate amplitudes, frequencies, and phases of a biased and noisy sum of complex exponential sinusoidal signals. The resulting parameter estimates are given by original closed formulas, constructed as integrals acting as time-varying filters of the noisy measured signal. The proposed algebraic method provides faster and more robust results, compared with usual procedures. Some computer simulations illustrate the efficiency of our method.
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International Journal of Adaptive Control and Signal Processing, Wiley, 2016, <10.1002/acs.2688>
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Rosane Ushirobira, Wilfrid Perruquetti, Mamadou Mboup. An algebraic continuous time parameter estimation for a sum of sinusoidal waveform signals. International Journal of Adaptive Control and Signal Processing, Wiley, 2016, <10.1002/acs.2688>. <hal-01342210>

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