Capture models for mobile packet radio networks

A number of different capture and spatial distribution models are applied to the problem of a number of mobile users accessing a central base station over a common channel. Methods for evaluating the probability q_i of capture when there are i contending transmitters are examined. The sensitivity of q_i to the capture and spatial distribution models is discussed. It was found that there is little difference between the q_i values for a uniform and a bell-shaped spatial density model, with the latter yielding slightly higher values. The asymptotic values of q_i for large i are the same for both spatial density models