Capture effect in Rician fading channels with application to slotted Aloha

The capture probability for radio signals transmitted through Rician fading channels, is analyzed. We present an equation for the probability density function (PDF) for n interferers, and validate this equation by showing its relation with the PDF for n interferers through Rayleigh fading channels. We then show a closed-form equation for the capture probability of one test packet and n interferers. An application of the capture equation to the evaluation of the throughput in slotted Aloha (S-Aloha) random access is presented next. Numerical results are presented as plots obtained by truncating summations found in the closed-form equations.