Recursive blind identification and equalization of FIR channels for chaotic communication systems

In this study, an adaptive autoregressive (AR) algorithm is proposed for the blind identification and equalization of finite impulse response (FIR) channels for chaotic communication systems. The AR method is derived by minimizing a nonlinear prediction error function that is calculated by exploiting the short time predictability of a chaotic signal. The adaptive AR algorithm requires a recursion within a recursion. A simplification is provided to remove the costly inner recursion. When convergence takes place, the AR filter coefficients give an approximation of the FIR channel coefficients and the AR filter output is an estimate of the transmitted chaotic signal. Simulation results show that the method gives promising results.