Interference minimisation by autocorrelation shaping in asynchronous DS-CDMA systems: chaos-based spreading is nearly optimal

The classical estimation of co-channel interference in asynchronous direct sequence-code division multiple access (DS-CDMA) systems, obtained for a conventional receiver under the standard Gaussian approximation (SGA), is analytically minimised with respect to the auto-correlation function of spreading sequences. The optimum auto-correlation function is found to be real, with alternating signs, and extremely closely follows an exponential trend. A family of chaotic maps is presented which is able to generate sequences with exponential auto-correlation function with alternating signs. The resulting DS-CDMA system is an extremely good approximation of the optimum achievable system.