Correlation properties of binary sequences generated by the logistic map-application to DS-CDMA

In this paper, we will show that a simple one dimension non-linear map allows generating symbolic sequences that have better statistical properties then classical pseudo random ones. Using performance criterion that is suitable for CDMA application, the performances of symbolic sequences will be compared to the performances of Gold ones. This comparison will show that non-linear systems generate sequences that allow a signal to noise ratio better then pseudo-random sequence generated by linear shift registers.