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Algebraic parameter estimation of a biased sinusoidal waveform signal from noisy data

Rosane Ushirobira 1, 2 Wilfrid Perruquetti 2, 3 Mamadou Mboup 2, 4 Michel Fliess 5
1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
4 CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804
5 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
Abstract : The amplitude, frequency and phase of a biased and noisy sum of two complex exponential sinusoidal signals are estimated via new algebraic techniques providing a robust estimation within a fraction of the signal period. The methods that are popular today do not seem able to achieve such performances. The efficiency of our approach is illustrated by several computer simulations.
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https://hal.inria.fr/hal-00685067
Contributor : Rosane Ushirobira <>
Submitted on : Tuesday, April 3, 2012 - 10:58:09 PM
Last modification on : Wednesday, January 27, 2021 - 3:34:10 PM
Long-term archiving on: : Monday, November 26, 2012 - 12:50:49 PM

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  • HAL Id : hal-00685067, version 1

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UNIV-BOURGOGNE | CNRS | INRIA | LIX | X | X-LIX | IMB_UMR5584 | INSMI | CRISTAL-SYNER | URCA | CRESTIC | LMR | CRISTAL | X-DEP-INFO | UNIV-LILLE | UNIV-FCOMTE

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Rosane Ushirobira, Wilfrid Perruquetti, Mamadou Mboup, Michel Fliess. Algebraic parameter estimation of a biased sinusoidal waveform signal from noisy data. Sysid 2012, 16th IFAC Symposium on System Identification, Jul 2012, Brussels, Belgium. ⟨hal-00685067⟩

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