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The interference in wireless networks is temporally correlated, since thenode or user locations are correlated over time and the interferingtransmitters are a subset of these nodes. For a wireless network where(potential) interferers form a Poisson point process and use ALOHA for channelaccess, we calculate the joint success and outage probabilities of ntransmissions over a reference link. The results are based on the diversitypolynomial, which captures the temporal interference correlation. The jointoutage probability is used to determine the diversity gain (as the SIR goes toinfinity), and it turns out that there is no diversity gain in simpleretransmission schemes, even with independent Rayleigh fading over all links.We also determine the complete joint SIR distribution for two transmissions andthe distribution of the local delay, which is the time until a repeatedtransmission over the reference link succeeds.

Diversity Polynomials for the Analysis of Temporal Correlations in Wireless Networks