Chaos communication from a maximum likelihood perspective
T. Schimming, J. Schweizer · 1998
For chaos communication schemes, one chooses typically a particular demodulation principle, which is then evaluated in terms of bit error rate for a given channel. In this approach we start from the maximum likelihood decision criteria and derive an optimal estimator for initial conditions. We assume that the information to be transmitted is coded in the initial condition of a chaotic trajectory segment. We show that the proposed demodulation method is optimal in the presence of additive white Gaussian (AWGN) channel noise. We consider the class of iterated piecewise linear 1D-maps and estimate the initial condition in the transmitter by means of a maximum likelihood decision. Finally we discuss the use of maximum likelihood techniques in channels with multi-path effects, where we expect to see the actual advantage of chaos communication schemes. I. INTRODUCTION Recently, a number of transmission schemes based on chaos have been proposed by numerous authors (see for example [4]). Gen...