Performance analysis of the decorrelating detector in the presence of synchronization errors

We present a semi-analytic method for computing the bit error rate of the decorrelating detector in the presence of phase and timing errors (synchronization errors). These errors in effect introduce multiple access interference. We first compute the moment generating function of the variate which determines the probability of error of a user. It can be shown that the probability of error is obtained by computing the Laplace inverse integral of a modified version of the moment generating function. Helstrom (1986) used this approach to analyze a BPSK system corrupted with intersymbol interference. In this paper are show that this method can be used for computing the probability of errors of users in the presence of multiple access interference. Due to the analytic approach used systems with larger packet sizes and larger user populations can be tackled.