Date Added: Jul 2009
The authors consider a dense K user Gaussian interference network formed by paired transmitters and receivers placed independently at random in a fixed spatial region. Under natural conditions on the node position distributions and signal attenuation, they prove convergence in probability of the average per-user capacity C??/K to 1/2 E log(1+2SNR). The achievability result follows directly from results based on an interference alignment scheme presented in recent work of Nazer et al. The main contribution comes through an upper bound, motivated by ideas of 'Bottleneck capacity' developed in recent work of Jafar.