Performance analysis of differential chaos shift keying over an AWGN channel

In this paper, a study of the differential chaos shift keying for discrete time implementations is proposed. Then we analysed the performance of this modulation system. A new approach is considered to compute an exact bit error rate expression. The idea of this approach is to compute the probability density function of the chaotic bit energy and to integrate the bit error rate over all possible values of this probability density function. The formula of the bit error rate of the system is derived for mono user case under an additive white Gaussian noise channel. It is shown that this method can be easily applied for any kind of chaotic sequences in different environments. Computer simulations verify the accuracy of our approach to compute the performance of this chaos-based communication system.