Capture analysis in wireless radio systems with multi-packet reception capabilities

In this paper, we address the problem of computing the probability that r out of n interfering signals can be correctly received in a random access wireless system with capture. We extend previous results on the capture probability computation, and provide an expression for the distribution of the number of captured packets that is scalable with n and r. We also provide an approximate expression, that is much easier to compute and provides good results for r = 0 and r = n. Finally, we study the dependence of the system throughput performance on the multi-packet reception capabilities of the receiver.