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

Ji YAO  Anthony J. LAWRANCE  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E87-A   No.9   pp.2280-2291
Publication Date: 2004/09/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
chaos communication,  χ2 approximation,  bit error rates,  multi-user,  chaos-shift-keying,  central limit theorem,  

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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 χ2 distribution approximations, more viable but still very accurate results decrease complexity of the calculations. The χ2 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.