University of Kiel
The authors propose and prove a theorem that allows the calculation of a class of functional on Poisson point processes that have the form of expectations of sum-products of functions. In proving the theorem, they extend the Campbell-Mecke theorem from stochastic geometry. They proceed to apply their result in the calculation of expectations involving interference in wireless Poisson networks. Based on this, they derive outage probabilities for transmissions in a Poisson network with Nakagami fading. Their results extend the stochastic geometry toolbox used for the mathematical analysis of interference-limited wireless networks.