Statistical Performance of Single Dwell Serial Synchronization Systems

Single dwell serial search techniques are common and useful for coarse time and frequency synchronization of spreadspectrum systems. A valuable system performance criterion, namely, the probability of successful synchronization for a single dwell serial synchronization system is derived. This probability is a function of the number of cells searched and is expressed in terms of the following four parameters: the dwell per cell, the detection probability, false alarm probability and the penalty time for a false alarm. Numerical results are presented to show the relationship between these parameters and system performance.