Theoretical noise performance of SIMO-DCSK communication schemes

The differential code-shift keying (DCSK) chaotic communication using single-input multiple-output (SIMO) techniques is considered in this article. To demodulate the signal without channel state information (CSI), the outputs of differential detection at each antenna are combined with equal gain and a full diversity gain can be achieved. Exact bit error rate (BER) formulas under Additive White Gaussian Noise (AWGN) channel and Rayleigh Fading Channel are derived by the acknowledge of the non-central F distribution. The theoretical BER expression is accurate which are verified by computer simulations and the SIMO-DCSK scheme outperforms DCSK system significantly achieving a full diversity gain under Rayleigh fading channels.