Identification of nonlinear systems using random amplitude poisson distributed input functions

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 27, Issue 2, 1997, Pages 222-234

  Wu, Yu Te ^a   Sclabassi, Robert J ^a,b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b IEEE

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR CONTROL SYSTEMS; PROBABILITY; RANDOM PROCESSES;

NONLINEAR SYSTEM IDENTIFICATION; POISSON TRAIN; RANDOM AMPLITUDE POISSON DISTRIBUTED INPUT FUNCTIONS;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 0031104418     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/3468.554684     Document Type: Article

References (20)

1. V. Volterra, Theory of Functionals and of Integral and Integro-Differential Equations. New York: Dover, 1930.
2. M. B. Brilliant, "Theory of analysis of nonlinear systems," Tech. Rep., Res. Lab. Electron., Mass. Inst. Technol., Cambridge, 1958.
3. R. H. Cameron and W. T. Martin, "The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals," Ann. Math., vol. 48, pp. 385-392, Apr. 1947.
4. D. A. George, "Continuous nonlinear systems," Tech. Rep. 355, Res. Lab. Electron., Mass. Inst. Technol., Cambridge, 1959.
5. K. Ito, "Spectral type of shift transformations of differential process with stationary increments," Trans. Amer. Math. Soc., vol. 81, pp. 253-263, 1956.
6. J. R. Barrett, "The use of functionals in the analysis of nonlinear physical systems," J. Electron. Contr., 1963.
7. N. Wiener, Nonlinear Problems in Random Theory. Cambridge, MA: MIT Press, 1958.
8. Y. W. Lee and M. Schetzen, "Measurement of the Wiener kernels of a nonlinear system by cross-correlation," Int. J. Control, vol. 2, pp. 237-254, 1965.
9. M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems, Malabar, FL: Krieger, 1989, reprinted edition.
10. D. P. O'Leary and V. Honrubia, "On-line identification of sensory systems using pseudorandom binary noise perturbations," Biophys. J., vol. 15, pp. 505-532, 1975.
11. H. Ogura, "Orthogonal functionals of the Poisson process," IEEE Trans. Inform. Theory, vol. IT-18, pp. 473-481, July 1972.
12. P. Z. Marmarelis and V. Z. Marmarelis, Analysis of Physiological Systems. New York: Plenum, 1978.
13. H. I. Krausz, "Identification of nonlinear systems using random impulse train inputs," Biolog. Cybern., vol. 19, pp. 217-230, 1975.
14. R. J. Sclabassi, J. L. Enksson, R. L. Port, G. B. Robinson, and T. W. Berger, "Nonlinear systems analysis of the hippocampal perforant pathdentate projection, pt. I: Theoretical and interpretational considerations," J. Neurophysiology, vol. 60, pp. 1066-1076, Sept. 1988.
15. R. J. Sclabassi, Kosanovic̀, R. Bogdan, G. Barrionuevo, and T. W. Berger, "Computational methods of neuronal network decomposition," in Advanced Methods of Physiological System Modeling, V. Z. Marmarelis, Ed., vol. 3. New York: Plenum, 1994, pp. 55-86.
16. R. J. Sclabassi, H. A. Risch, C. L. Hinman, J. S. Kroin, N. F. Enns, and N. S. Namerow, "Complex pattern evoked somatosensory responses in the study of multiple sclerosis," Proc. IEEE, vol. 65, pp. 626-633, 1977.
17. R. J. Sclabassi, C. L. Hinman, J. S. Kroin, and H. A. Risch, "A nonlinear analysis of afferent modulatory activity in the cat somatosensory responses system," Electroencephal Clin. Neurophysiol., vol. 60, pp. 444-454, 1985
18. _, "The effect of cortical ablation on afferent activity in the cat somatosensory system," Electroencephal Clin. Neurophysiol., vol. 64, pp. 31-40, 1986
19. W. J. Rugh, Nonlinear System Theory. Baltimore, MD: Johns Hopkins Univ. Press, 1981.
20. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes. Cambridge, U.K.: Cambridge Univ. Press, 1986.