Bit Error Rate Calculation for Multi-User Coherent Chaos-Shift-Keying Communication Systems

摘要

Analytical derivation of bit error rates for multi-user coherent chaos-shift-keying (CSK) communication systems are presented in this paper. Nearly exact results are obtained by applying the central limit theorem of statistics to sums of independent variables. Based on x~2 distribution approximations, more viable but still very accurate results decrease complexity of the calculations. The x~2 approach is compared with the widely used Gaussian approximation approach to show its superiority in most cases. Bit error performance bounds for the multi-user CSK system from the approach are deduced as further contributions of this paper. The theoretical results obtained are entirely consistent with a range of simulations.