Performance of slot synchronous time-frequency coded spread spectrum systems

The operation of slot synchronous time-frequency coded spread spectrum systems is considered, and an exact closed-form expression is derived for the probability of error. This exact expression is, in general, very difficult to evaluate, and as an aid to estimating system performance, three new upper bounds are derived. These bounds are such that the degree of difficulty of computation increases with increasing tightness of the bounds. The bounds are, however, all relatively easy to evaluate. Simulation results relating to error probabilities are presented and compared with values computed from the various bounds.