Blind Source Separation of Continuous-Time Chaotic Signals Based on Fast Random Search Algorithm

Blind source separation (BSS) of continuous-time chaotic signals from a linear mixture is addressed in this brief. It is assumed that the functional forms of the generating systems of chaotic signals are known, and the parameters of the generating systems and the mixture matrix are unknown. The problem of determining the parameters and the mixture matrix is formulated as an optimization one. A fast random search (FRS) algorithm is, therefore, proposed. Experimental results demonstrate that the FRS algorithm can solve the indeterminacy problem in BSS and show the separability of mixed signals in a high noise background.