On the rates of convergence of the wireless multi-access interference distribution to the normal distribution

It is of prime importance to reveal the structure of wireless multi-access interference distributions to compute many performance bounds and metrics for wireless networks such as transmission capacity, outage probability and bit-error-rate. However, at the present, there are no closed form expressions for the multi-access interference distributions in wireless networks apart from a very special case. This paper presents a principled methodology towards the resolution of this bottleneck by establishing rates of convergence of the multi-access interference distribution to a Gaussian distribution for any given bounded power-law decaying path-loss function G. In particular, it is shown that the interference distribution converges to the Gaussian distribution with the same mean and variance at a rate √1/λ, where λ>0 is the intensity of the homogenous planar Poisson point process generating node locations.