Convergence Analysis for Initial Condition Estimation in Coupled Map Lattice Systems

• Published in: IEEE transactions on signal processing Vol. 60; no. 8; pp. 4426 - 4432
• Main Authors: Lanxin Lin, Minfen Shen, So, H. C., Chunqi Chang
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.08.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Chaos; Computer simulation; Convergence; Coupled map lattice (CML); Couplings; Detection, estimation, filtering, equalization, prediction; Divergence; Estimation; Exact sciences and technology; Information, signal and communications theory; initial condition estimation; Initial conditions; Inverse; largest Lyapunov exponent; Lattices; Lyapunov exponents; Noise; Signal and communications theory; signal processing; Signal, noise; symbolic dynamic; Telecommunications and information theory; Transaction processing; Vectors; Chaos; Performance evaluation; initial condition estimation; largest Lyapunov exponent; Computer simulation; Coupled map lattice (CML); Coupling coefficient; Lyapunov exponent; symbolic dynamic; Signal processing
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2012.2195659

In this correspondence, we focus on studying the problem of initial condition estimation for chaotic signals within the coupled map lattice (CML) systems. To investigate the effectiveness of a CML initial condition estimation method with different maps and coupling coefficients, the convergence and divergence properties of the inverse CML systems are analyzed. An inverse largest Lyapunov exponent (ILLE) is proposed to investigate the strength of convergence and divergence in the inverse CML systems, and it can determine if the CML initial condition estimation method is effective. Computer simulations are included to verify the relationship between the effectiveness of the CML initial condition estimation method and its corresponding ILLE.