Methods for chaotic signal estimation

A dynamic programming algorithm and a suboptimal but computationally efficient method for estimation of a chaotic signal in white Gaussian noise are proposed. The nonlinear map is assumed known so that only the initial condition need be estimated. Computer simulations confirm that both approaches produce efficient estimates at high signal-to-noise ratios. >

[1]  Haralabos C. Papadopoulos,et al.  Optimal detection of a class of chaotic signals , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  C. Myers,et al.  Signal separation for nonlinear dynamical systems , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[3]  Steven Kay,et al.  Asymptotic maximum likelihood estimator performance for chaotic signals in noise , 1995, IEEE Trans. Signal Process..