Generation of Binary Sequences with good AIP using the Logistic Map - Application to DS-CDMA Decorrelating Receiver

Recently, sequences generated by nonlinear dynamical systems have been considered in CDMA spread spectrum application and it has been shown that they can behave better than classical ones. In almost all cases, classical criterium have been considered to design good spreading sequences, they are based on periodic or aperiodic correlation functions, like Figure Of Merit or Maximal Correlation Pick. Moreover, conventional receiver has been considered in evaluating spreading sequence performances. In this contribution we will consider the Average Interference Parameter (AIP) as a criterium to select good spreading sequences. We will exploit the wealth of the logistic map and propose quantized Super Stable Orbits (SSOs) as binary sequences. We will show that it is possible to find new binary sequences with AIP better than those of classical Gold sequences. As an application, we will consider the performances of decorrelating receiver using proposed binary sequences. Keywords— DS-CDMA, Spreading Sequences, Decorrelating receiver, Chaos Super Stable Orbits.