Blind identification of second order Hammerstein series

Signal Processing

Volumn 83, Issue 1, 2003, Pages 213-234

  Koukoulas, P ^a   Kalouptsidis, N ^a  

^a UNIVERSITY OF ATHENS   (Greece)

Author keywords

Blind identification; Hammerstein series; Higher order statistics; Volterra systems

Indexed keywords

ALGORITHMS; GAUSSIAN NOISE (ELECTRONIC); RANDOM PROCESSES; STATISTICAL METHODS; WHITE NOISE;

BLIND IDENTIFICATION;

BLIND SOURCE SEPARATION;

EID: 0037210278     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(02)00393-6     Document Type: Article

References (21)

1. Alshebeili S.A., Venetsanopoulos A.N. Parameter estimation and spectral analysis of the discrete nonlinear second order Wiener filter (NSWF). Circuit Syst. Signal Process. 10:1991;31-51.
2. Bartelt H., Lohman A.W., Wirnitzer B. Phase and amplitude recovery from bispectra. Appl. Opt. 23:1984;3121-3129.
3. Bondon P., Benidir M., Picinbono B. Polyspectrum modeling using linear or quadratic filters. IEEE Trans. Signal Process. 41(2):February 1993;692-702.
4. Bondon P., Krob M. Blind identifiability of a quadratic stochastic system. IEEE Trans. Inform. Theory. 41(1):January 1995;245-254.
5. Giannakis G.B., Serpedin E. Linear multichannel blind equalizers of nonlinear FIR Volterra channels. IEEE Trans. Signal Process. 45(1):January 1997;67-81.
6. Glentis G.O., Koukoulas P., Kalouptsidis N. Efficient algorithms for Volterra system identification. IEEE Trans. Signal Process. 47(11):November 1999;3042-3057.
7. J.C. Gomez, E. Baeyens, Identification of multivariable Hammerstein systems using rational orthonormal bases, Proceedings of the 39th IEEE Conference on Decision and Control, Vol. 3, Sydney, Australia, December 2000, pp. 2849-2854.
8. Kalouptsidis N. Signal Processing Systems: Theory and Design. 1997;Wiley, New York.
9. N. Kolokotronis, G. Gatt, N. Kalouptsidis, On the generation of sequences simulating higher order white noise for a system identification, IEEE Trans. Signal Process., under review.
10. Korenberg M.J., Paarmann L.D. Orthogonal approaches to time-series analysis and system identification. IEEE Signal Process. Mag. 8:July 1991;29-43.
11. Koukoulas P., Kalouptsidis N. Nonlinear system identification using Gaussian inputs. IEEE Trans. Signal Process. 43(8):August 1995;1831-1841.
12. Koukoulas P., Kalouptsidis N. Second order Volterra system identification. IEEE Trans. Signal Process. 48(12):December 2000;3574-3577.
13. Leonov V.P., Shiryaev A.N. On a method of calculation of semi-invariants. Theory Probab. Appl. 4:1959;319-329.
14. Lii K.S., Rosenblatt M.R. Deconvolution and estimation of transfer function phase and coefficients for non-Gaussian linear processes. Ann. Statist. 20:1982;1195-1208.
15. Mathews V.J. Adaptive polynomial filters. IEEE Signal Process. Mag. 8:July 1991;10-26.
16. Matsuoka T., Ulrych T.J. Phase estimation using the bispectrum. Proc. IEEE. 72:October 1984;1403-1411.
17. Nikias C.L., Petropulu A.P. Higher-Order Spectral Analysis: A Nonlinear Signal Processing Framework. 1993;Prentice-Hall, Inc., Englewood Cliffs, NJ.
18. Pozidis H., Petropulu A.P. System reconstruction based on selected regions of discretized higher order spectra. IEEE Trans. Signal Process. 46(12):December 1998;3360-3377.
19. Prakriya S., Hatzinakos D. Blind identification of LTI-ZMNL-LTI nonlinear channel models. IEEE Trans. Signal Process. 43(12):December 1995;3007-3013.
20. Ralston J.C., Zoubir A.M., Boashash B. Identification of a class of nonlinear systems under stationary non-Gaussian excitation. IEEE Trans. Signal Process. 45(3):March 1997;719-735.
21. Schetzen M. The Volterra and Wiener Theories of Nonlinear Systems. 1980;Wiley, New York.