Computation of exact interference and probability of error for several CDMA communication systems

A new class of hit arrays called cyclical hit arrays is introduced. They give insight into the previously unavailable properties of a modified number of theoretical frequency-hop patterns, which are based on Welch-Costas and quadratic congruence codes. Three theorems related to the cyclical hit arrays are proved and are used to determine the exact probability distribution function of a random variable that represents the number of coincidences between two arbitrary patterns from the set, which at the same time stands for the interference between two users of a code division multiple access (CDMA) system. The results are useful for the exact computation of the total interference and error probabilities in some CDMA systems