On Exact Asymptotics of Bit Error Probabilities in SSMA Communication Systems with Spreading Sequences of Markov Chains

In this report we consider asynchronous spread spectrum multiple access (SSMA) communication systems with spreading sequences of Markov chains. By refinement of the large deviations analysis, we obtain exact asymptotics of bit error probabilities in such systems. Comparing theoretical expressions of bit error probabilities with experimental results, we confirm that for too small number of users compared to the length of spreading sequences, the central limit asymptotics become invalid, but the large deviations asymptotics turn out to be relevant.