Analysis of stochastic gradient identification of Hermite polynomial systems with memory

ISSPA 1999 - Proceedings of the 5th International Symposium on Signal Processing and Its Applications

Volumn 2, Issue , 1999, Pages 1001-1004

  Celka, P ^a   Bershad, N J ^b   Vesin, J M ^a  

^a EPFL   (Switzerland)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SIGNAL PROCESSING;

ADAPTATION PROCESS; ADAPTIVE PARAMETERS; ADAPTIVE SCHEME; HERMITE POLYNOMIALS; MONTE CARLO RESULTS; RECURSIONS; STOCHASTIC GRADIENT;

POLYNOMIALS;

EID: 34247861396     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISSPA.1999.815840     Document Type: Conference Paper

References (12)

1. N. J. Bershad, P. Celka and J. M. Vesin", Stochastic Analysis of Gradient Adaptive Identification of Nonlinear Systems with Memory for Gaussian Data and Noisy Input and Output Measurements", IEEE Trans, on Signal Processing, vol. 47, no. 3, pp. 675-March 1999
2. N. J. Bershad, S. Bouchired and F. Castanie", Stochastic Analysis of Adaptive Gradient Identification of Wiener-Hammerstein Systems for Gaussian Inputs", submitted to IEEE Trans, on Signal Processing, Jan. 1999
3. P. Celka, N. J. Bershad and J.-M. Vesin", Analysis of Stochastic Gradient Identification of Polynomial Nonlinear Systems with Memory", ICASSP'99, Phoenix
4. P. Celka, N. J. Bershad and J.-M. Vesin", Fluctuation Analysis of Stochastic Gradient Iendtification of Polynomial Systems with Memory", submitted to IEEE Trans, on Signal Processing, April, 1999
5. N. Wiener, Nonlinear Problems in Random Theory, John Wiley, NY, 1958
6. S. A. Billings and S. Y. Fakhouri", Identification of Nonlinear Systems Using the Wiener Model", Electronics Letters, vol. 17, pp. 502-504, 1977
7. S. A. Billings, private communication, Nov. 1998
8. S. Haykin, Adaptive Filter Theory, Prentice-Hall, Englewood-Cliffs, N. J., 1991
9. B. Widrow and S. Steams, Adaptive Signal Processing, Prentice-Hall, Englewood-Cliffs, N. J., 1985
10. O. Macchi, Adaptive Processing, John Wiley and Sons, Chichester, U. K., 1995
11. V. John Mathews", Adaptive Volterra Filters using Orthogonal Structures", IEEE Signal Processing Letters, vol. 3, no. 12, pp. 307-309, Dec. 1996
12. N. J. Bershad", On the Optimum Gain Parameter in LMS Adaptation", IEEE Trans, on Acoustics, Speech and Signal Processing, vol. ASSP-35, no. 7, pp. 1065-1068, July 1987