Gaussian Approximation for the Downlink Interference in Heterogeneous\n Cellular Networks

This paper derives Gaussian approximation bounds for the standardized\naggregate wireless interference (AWI) in the downlink of K-tier heterogeneous\ncellular networks when base stations in each tier are distributed over the\nplane according to a (possibly non-homogeneous) Poisson process. The proposed\nmethodology is general enough to account for general bounded path-loss models\nand fading statistics. The deviations of the distribution of the standardized\nAWI from the standard normal distribution are measured in terms of the\nKolmogorov-Smirnov distance. An explicit expression bounding the\nKolmogorov-Smirnov distance between these two distributions is obtained as a\nfunction of a broad range of network parameters such as per-tier transmission\npower levels, base station locations, fading statistics and the path-loss\nmodel. A simulation study is performed to corroborate the analytical results.\nIn particular, a good statistical match between the standardized AWI\ndistribution and its normal approximation occurs even for moderately dense\nheterogeneous cellular networks. These results are expected to have important\nramifications on the characterization of performance upper and lower bounds for\nemerging 5G network architectures.\n