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International Journal of Control Volume 81, 2008 - Issue 3: Special Issue Dedicated to Professor Michel Fliess
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Estimation and Signal

On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sum

J. R. Trapero Universidad de Castilla-La Mancha, ETSI Industriales, Edif. Politécnica, Ciudad Real 13071, EspañaCorrespondence[email protected]
,
H. Sira-Ramírez CINVESTAV-IPN, Sección de Mecatrónica, Dept. Ingeniería Eléctrica, Avenida IPN, # 2508, Col. San Pedro Zacatenco, A.P. 14740, 07300 México, D.F, México
&
V. Feliu Batlle Universidad de Castilla-La Mancha, ETSI Industriales, Edif. Politécnica, Ciudad Real 13071, España
Pages 507-518 | Received 15 Mar 2006, Accepted 09 Jul 2007, Published online: 06 Oct 2010

Citations (18)

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Michel Fliess & Cédric Join. (2013) Model-free control. International Journal of Control 86:12, pages 2228-2252.
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Articles from other publishers (17)

Selma Benftima, Vicente Feliu Batlle, Selma Benattia & Salah Salhi. (2022) A Fast Online Estimator of the Main Vibration Mode of Mechanisms from a Biased Slightly Damped Signal. A Fast Online Estimator of the Main Vibration Mode of Mechanisms from a Biased Slightly Damped Signal.
Antonia Pender, Josip Kasac & Marko Pranjic. (2022) An algebraic approach to stable online parameter identification and fault detection. An algebraic approach to stable online parameter identification and fault detection.
Peng Li, Boli Chen, Zhongda Chu, Aiguo Wu & Fei Teng. (2021) Estimation of Time-varying Frequency and its Rate of Change in Low-inertia Power Systems. Estimation of Time-varying Frequency and its Rate of Change in Low-inertia Power Systems.
Matheus Rocha Barbosa & Luis Gustavo Mota Souza. (2019) Analytical Calculation of Hidden Layer Biases in Extreme Learning Machines with Sinusoidal Activation Function. Analytical Calculation of Hidden Layer Biases in Extreme Learning Machines with Sinusoidal Activation Function.
Pradeep Lall & Tony Thomas. (2019) Failure Modes of Flexible Electronics Under Mechanical Vibration. Failure Modes of Flexible Electronics Under Mechanical Vibration.
Josip Kasac, Tihomir Zilic, Vladimir Milic & Andrej Jokic. (2018) Frequency-shifting-based stable on-line algebraic parameter identification of linear systems. Journal of the Franklin Institute 355:18, pages 9224-9244.
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Boli Chen, Peng Li, Gilberto Pin & Thomas Parisini. (2016) Estimation of multi-sinusoidal signals: A deadbeat methodology. Estimation of multi-sinusoidal signals: A deadbeat methodology.
Rosane Ushirobira, Wilfrid Perruquetti & Mamadou Mboup. (2016) An algebraic continuous time parameter estimation for a sum of sinusoidal waveform signals. International Journal of Adaptive Control and Signal Processing 30:12, pages 1689-1713.
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Andres San-Millan & Vicente Feliu. (2015) A Fast Online Estimator of the Two Main Vibration Modes of Flexible Structures From Biased and Noisy Measurements. IEEE/ASME Transactions on Mechatronics 20:1, pages 93-104.
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Juan Carlos Cambera, Andres San-Millan & Vicente Feliu-Batlle. (2015) Payload Mass Identification of a Single-Link Flexible Arm Moving under Gravity: An Algebraic Identification Approach. Shock and Vibration 2015, pages 1-13.
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Alberto Luviano-Juárez, John Cortés-Romero & Hebertt Sira-Ramírez. (2015) Parameter identification of a discretized biased noisy sinusoidal signal. Measurement 60, pages 129-138.
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Wilfrid Perruquetti, Vincent Bonnet, Mamadou Mboup, Rosane Ushirobira & Philippe Fraisse. (2012) An algebraic approach for human posture estimation in the sagittal plane using accelerometer noisy signal. An algebraic approach for human posture estimation in the sagittal plane using accelerometer noisy signal.
Rosane Ushirobira, Wilfrid Perruquetti, Mamadou Mboup & Michel Fliess. (2012) Algebraic parameter estimation of a biased sinusoidal waveform signal from noisy data. IFAC Proceedings Volumes 45:16, pages 167-172.
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Emiliano Pereira, Juan R. Trapero, Iván M. Díaz & Vicente Feliu. (2012) Adaptive input shaping for single-link flexible manipulators using an algebraic identification. Control Engineering Practice 20:2, pages 138-147.
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Da-yan Liu, Olivier Gibaru & Wilfrid Perruquetti. (2011) Parameters estimation of a noisy sinusoidal signal with time-varying amplitude. Parameters estimation of a noisy sinusoidal signal with time-varying amplitude.
D. Liu, O. Gibaru & W. Perruquetti. (2009) Error analysis for a class of numerical differentiator: application to state observation. Error analysis for a class of numerical differentiator: application to state observation.
Dayan Liu, Olivier Gibaru, Wilfrid Perruquetti, Michel Fliess & Mamadou Mboup. (2008) An error analysis in the algebraic estimation of a noisy sinusoidal signal. An error analysis in the algebraic estimation of a noisy sinusoidal signal.

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