Algebraic parameter estimation of damped exponentials

European Signal Processing Conference

Volumn , Issue , 2007, Pages 965-969

  Neves, Aline ^a   Miranda, Maria D ^b   Mboup, Mamadou ^c  

^a UNIVERSIDADE FEDERAL DO ABC   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

^c UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC METHOD; ESTIMATED PARAMETER; EXPONENTIAL FITTING; EXPONENTIALS; ILL-CONDITIONING; NONLINEAR PROBLEMS; PRONY ALGORITHM; PRONY METHOD;

PARAMETER ESTIMATION; SIGNAL PROCESSING;

ALGEBRA;

EID: 84863762161     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. M. R. Osborne and G. K. Smyth, "A modified Prony algorithm for exponential function fitting," SIAM Journal of Scientific Computing, vol. 16, pp. 119-138, 1995.
2. H. Ouibrahim, "Prony, Pisarenko, and the matrix pencil: a unified presentation," IEEE Trans. Acoustic, Speech and Signal Processing, vol. 37, pp. 133-134, 1989.
3. M. R. Osborne, "Some special nonlinear least squares problems," SIAM Journal of Numerical Analysis, vol. 12, pp. 571-592, 1975.
4. M. Fliess and H. Sira-Ramírez, "An algebraic framework for linear identification," ESAIM Control Optim. Calculus Variations, vol. 9, pp. 151-168, 2003.
5. M. Fliess, M. Mboup, H. Mounier, and H. Sira-Ramírez, "Questioning some paradigms of signal processing via concrete examples," Proc 1st Workshop Flatness, Signal Processing and State Estimate, CINVESTAV-IPN, Mexico, D.F., 2003.
6. A. Neves, M. Mboup, and M. Fliess, "An algebraic identification method for the demodulation of QPSK signal through a convolutive channel," 12th European Signal Processing Conference (EUSIPCO), Viena, Austria, 2004.
7. A. Neves, M. Mboup, and M. Fliess, "An algebraic receiver for full response CPM demodulation," VI International Telecommunication Symposium (ITS), Fortaleza, Brazil, pp. 925-930, 2006.
8. M. Mboup, "Parameter estimation via differential algebra and operational calculus," in preparation, 2007.
9. A. Neves, Identification Algébrique et Déterministe de Signaux et Systèmes à Temps Continu: Application à des Problèmes de Communication Numérique, Ph.D. thesis, Université René Descartes - Paris V, 2005.
10. M. R. Osborne and G. K. Smyth, "A modified Prony algorithm for fitting functions defined by difference equations," SIAM Journal of Scientific Computing, vol. 12, pp. 362-382, 1991.