In code division multiple access based on direct sequence spectrum technique (DS-CDMA), spreading sequences play an important role. As spreading sequences, linear feedback shift register (LFSR) sequences have often been used. It is reported recently that for an asynchronous DS-CDMA system, the variance of the distributions of cross-correlation values of some sequences generated by class of Markov information sources (Markov sequences) is lower than that of LFSR sequences. However the variance of the distributions of self-correlation values of Markov sequences than using LFSR sequences. In this article, we evaluate the variance of self-correlation values of Markov binary sequences for a asynchronous DS-CDMA system to estimate the bit error rate of the system and discuss the difficulties of a synchronization.
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