论文信息 - An error analysis in the algebraic estimation of a noisy sinusoidal signal

An error analysis in the algebraic estimation of a noisy sinusoidal signal

The classic example of a noisy sinusoidal signal permits for the first time to derive an error analysis for a new algebraic and non-asymptotic estimation technique. This approach yields a selection of suitable parameters in the estimation procedure, in order to minimize the noise corruption.

[1] Vicente Feliú Batlle,et al. On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sum , 2008, Int. J. Control.

[2] Maria D. Miranda,et al. Algebraic parameter estimation of damped exponentials , 2007, 2007 15th European Signal Processing Conference.

[3] Michel Fliess,et al. Analyse non standard du bruit , 2006, ArXiv.

[4] Vicente Feliú Batlle,et al. An algebraic frequency estimator for a biased and noisy sinusoidal signal , 2007, Signal Process..

[5] John G. Proakis,et al. Digital Communications , 1983 .

[6] M. Fliess,et al. An algebraic receiver for full response CPM demodulation , 2006, 2006 International Telecommunications Symposium.

[7] M. Fliess,et al. Questioning some paradigms of signal processing via concrete examples , 2003 .

[8] M. Fliess,et al. An algebraic framework for linear identification , 2003 .

[9] Michel Fliess. Critique du rapport signal à bruit en théorie de l'information -- A critical appraisal of the signal to noise ratio in information theory , 2007, ArXiv.

[10] Hebertt Sira-Ramírez,et al. Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques , 2007 .

[11] Mamadou Mboup,et al. Parameter estimation via differential algebra and operational culculus , 2007 .

[12] H. Sira-Ramírez,et al. A fast on-line frequency estimator of lightly damped vibrations in flexible structures , 2007 .