Discriminating Signals by Arrival Time under the Influence of Additive and Multiplicative Random Distortions.

In this paper, the quasi-optimal and optimal algorithms are considered for discriminating the pulse signals by arrival time in the presence of the fast Gaussian modulating interference and additive Gaussian white noise. The case is examined when the time positions of the discriminable signals are a priori unknown and they take values from different clock intervals, so that such signals do not overlap in time. For the introduced algorithms, the analytical expressions are obtained for both the first two moments of the decision statistics and the probabilities of errors occurring while discriminating the signals by arrival time. By statistical simulation methods, one confirms the good agreement of these expressions with the corresponding experimental data presenting a wide range of values of the parameters of both the useful signals and the modulating interference. The comparison of the performance of the quasioptimal and optimal algorithms in terms of the discrimination error probability is also carried out. It is established that the optimal algorithm can provide a significant gain in the discrimination quality. [ABSTRACT FROM AUTHOR]