Interference bounds for DS-CDMA systems based on chaotic piecewise-affine Markov maps

The performance of chaos-based asynchronous direct sequence-code division m ultiple access (DS-CDMA) systems are analyzed in the additive white Gaussia n noise (AWGN) channel case. Previous upper bounds on the expected cochanne l interference are improved and complemented with lower bounds accounting f or maximum achievable performance. The bases for this investigation are mat hematical tools from the statistical theory of dynamical systems and in par ticular some spectral properties of finite-dimensional restrictions of the Perron-Frobenius operator, A general lower bound is provided along with str icter upper and lower bounds in the particular case of piecewise-affine Mar kov (PWAM) maps used as spreading sequence generators, Detailed numerical e xamples of bound applicability are also provided.