Cramer-Rao bounds for a class of systems described by Wiener and Hammerstein models

International Journal of Control

Volumn 68, Issue 5, 1997, Pages 1067-1084

  Nordsjö, Anders E ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIGITAL FILTERS; ERROR ANALYSIS; MATHEMATICAL MODELS; POLYNOMIALS; SPECTRUM ANALYSIS;

CRAMER-RAO BOUNDS (CRB); HAMMERSTEIN MODELS; WIENER MODELS;

NONLINEAR CONTROL SYSTEMS;

EID: 0031273659     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797223208     Document Type: Article

References (13)

1. Bar, W., and Dittrich, F., 1971, Useful formula for moment computation of normal random variables with nonzero means. IEEE Transactions on Automatic Control, 16, 263-265.
2. Chen, J., and Vandewalle, J., 1989, Study of adaptive nonlinear echo canceller with Volterra expansion. Proceedings of ICASSP, pp. 1376-1379.
3. Cramer, H., and Leadbetter, M. R., 1967, Stationary and Related Stochastic Processes (New York: Wiley), 157-159.
4. Goldstein, J. L., 1990, Modeling rapid waveform compression on the basilar membrane as multiple-bandpass-nonlinearity filtering. Hearing Research, 49, 39-60.
5. Hood, D. C., and Birch, D. G., 1995, Computational models of rod-driven retinal activity. IEEE Engineering Medicine Biology Magazine, 14, 59-66.
6. Hunter, I. W., and Korenberg, M. J., 1986, The identification of nonlinear biological systems: Wiener and Hammerstein cascade models. Biological Cybernetics, 55, 135-144.
7. Lee, J. S., 1968, Signal-to-crosstalk power ratio in smoothly limited multichannel FDM signals. IEEE Transactions on Communications, 16, 63-67.
8. Schuchman, L., 1968, PSK transmission through ideal bandpass limiters. IEEE Transactions on Communications, 16, 189-192.
9. Singh, M. G., Elloy, J. P., Mezencev, R., and Munro, N., 1980, Applied Industrial Control (Oxford, U.K.: Pergamon).
10. Soderstrom, T., and Stoica, P., 1989, System Identification (Prentice-Hall).
11. Sodetstrom, T., Stoica, P., and Friedlander, B., 1991, An indirect prediction error method for system identification. Automatica, 27, 183-188.
12. West, J. C., 1960, Analytical Techniques for Non-Linear Control Systems (New York: English Universities Press), pp. 193-195.
13. Wigren, T., 1994, Convergence analysis of recursive identification algorithms based on the nonlinear Wiener model. IEEE Transactions on Automatic Control, 39, 2191-2206.