Statistical Analysis of Multiple Access Interference in Asynchronous UWB Impulse Radio

Optimal component and system design requires knowledge of the statistics underlying the system. To date, the determination of the probability distributions characterizing the multiple access interference in ultra-wide bandwidth wireless systems is an unsolved problem. The statistical characteristics of the multiple access interference in ultra-wide bandwidth wireless systems are studied. Expressions for the probability density functions of the distribution due to asynchronous multiple access interference and additive white Gaussian noise are derived for both additive white Gaussian noise and multipath fading ultra-wide bandwidth environments. The accuracies of the derived expressions for the probability density functions are assessed and confirmed by simulation results.