Correlation statistics convolution algorithm for spreading code dependent BER and capacity analysis of finite asynchronous CDMA systems

Some CDMA systems serve a finite number of simultaneously active users. Thus, its performance is spreading code dependent and Gaussian approximation is not appropriate to evaluate its performance. To choose proper spreading codes for a finite CDMA system, both peak cross-correlation and squared-sum of cross-correlations should be considered. An algorithm based on multiple variable Bernoulli process is introduced to evaluate the BER due to co-channel interference. The algorithm is useful for spreading code dependent capacity analysis, regardless of the CDMA system size and operation. The results show that small Kasami and Gold (1968) like codes offer a high capacity in a finite CDMA system