Reduced state methods in nonlinear prediction

Signal Processing

Volumn 48, Issue 1, 1996, Pages 37-49

  Nisbet, Kenneth C ^a,b   Mulgrew, Bernard ^a   McLaughlin, Stephen ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b UNIVERSITY OF THE WEST OF SCOTLAND   (United Kingdom)

Author keywords

Nonlinear prediction; Radial basis function; Reduced state; Volterra series

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; EIGENVALUES AND EIGENFUNCTIONS;

RADIAL BASIS FUNCTION NONLINEAR PREDICTOR; SIGNAL SUBSPACE CONCEPTS; VOLTERRA SERIES NONLINEAR PREDICTOR;

SIGNAL FILTERING AND PREDICTION;

EID: 0029779150     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-1684(95)00122-0     Document Type: Article

References (17)

1. D.S. Broomhead and D. Lowe, "Multivariable functional interpolation and adaptive networks", Complex Systems, Vol. 2, 1988, pp. 321-355.
2. M. Casdagli, "Nonlinear prediction of time series", Physica D, Vol. 35, 1989, pp. 335-356.
3. S. Chen, S.A. Billings and W. Luo, "Orthogonal least squares methods and their application to non-linear system identification", Internat. J. Control, Vol. 50, No. 5, 1989, pp. 1873-1896.
4. S. Chen, C.F.N. Cowan and P.M. Grant, "Orthogonal least squares learning algorithm for radial basis function networks", IEEE Trans. Neural Networks, Vol. 2, 1991, pp. 302-309.
5. S. Chen and B. Mulgrew, "Overcoming co-channel interference using an adaptive radial basis function equaliser", Signal Processing, Vol. 28, No. 1, July 1992, pp. 91-07.
6. J. Doyne-Farmer, "Chaotic attractors of an infinite dimensional dynamical system", Physica D, 1982, pp. 366-393.
7. S. Haykin, Adaptive Filter Theory, Prentice-Hall, Englewood Cliffs, NJ, 1992.
8. M.R. Lynch, P.J. Rayner and S.B. Holden, "Removal of degeneracy in adaptive Volterra networks by dynamic structuring", Proc. IEEE Internat. Conf. Acoust. Speech Signal Process. '91, 1991, pp. 2069-2072.
9. M.C. Mackey and L. Glass, "Oscillations and chaos in physiological control systems", Science, Vol. 197, 1977.
10. J. Makhoul, "Linear prediction: A tutorial review", Proc. IEEE, Vol. 63, 1975, pp. 561-580.
11. C.L. Nikias, "Higher order spectral analysis", in: Advances in Spectrum Analysis and Array Processing, Vol. 1, Prentice-Hall, Englewood Cliffs, NJ, 1991.
12. M.J.D. Powell, "Radial basis functions for multivariable interpolation: A review", IMA Conf. on Algorithms for the Approximation of Functions and Data, RCMS Shrivenham, 1985.
13. W.H. Press, B.P. Flannery, A. Teukolsky and W.T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, Cambridge, 1988.
14. R.O. Schmidt, A signal subspace approach to multiple emitter location and spectral estimation, Ph.D. Dissertation, Stanford University, Stanford, 1981.
15. H.G. Schuster, Deterministic Chaos, VCH, New York, 1988.
16. T.J. Shepherd and D.S. Broomhead, "Nonlinear signal processing using radial basis functions", SPIE Advanced Signal Processing Algorithms, Architectures, and Implementations. Vol. 1348, 1990, pp. 51-61.
17. F. Takens, "Detecting strange attractors in turbulence", Lecture Notes in Mathematics, Springer, Berlin, 1980, pp. 366-381.