TY - GEN
T1 - Gaussian approximation for the downlink interference in heterogeneous cellular networks
AU - Ak, Serkan
AU - Inaltekin, Hazer
AU - Poor, H. Vincent
N1 - Funding Information:
This research was supported in part by a Marie Curie FP7-Reintegration-Grants within the 7th European Community Framework Programme under Grant PCIG10-GA-2011- 303713, in part by the Scientific and Technological Research Council of Turkey (TUBITAK) under Grant 115E162, and in part by the U.S. National Science Foundation under Grant ECCS-1343210
Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/10
Y1 - 2016/8/10
N2 - This paper derives Gaussian approximation bounds for the standardized aggregate wireless interference (AWI) in the downlink of dense K-tier heterogenous cellular networks when base stations in each tier are distributed over the plane according to a (possibly non-homogeneous) Poisson process. The proposed methodology is general enough to account for general bounded path-loss models and fading statistics. The deviations of the distribution of the standardized AWI from the standard normal distribution are measured in terms of the Kolmogorov-Smirnov distance. An explicit expression bounding the Kolmogorov-Smirnov distance between these two distributions is obtained as a function of a broad range of network parameters such as per-tier transmission power levels, base station locations, fading statistics and the path-loss model. A simulation study is performed to corroborate the analytical results. In particular, a good statistical match between the standardized AWI distribution and its normal approximation occurs even for moderately dense heterogenous cellular networks. These results are expected to have important ramifications for the characterization of performance upper and lower bounds for emerging 5G network architectures.
AB - This paper derives Gaussian approximation bounds for the standardized aggregate wireless interference (AWI) in the downlink of dense K-tier heterogenous cellular networks when base stations in each tier are distributed over the plane according to a (possibly non-homogeneous) Poisson process. The proposed methodology is general enough to account for general bounded path-loss models and fading statistics. The deviations of the distribution of the standardized AWI from the standard normal distribution are measured in terms of the Kolmogorov-Smirnov distance. An explicit expression bounding the Kolmogorov-Smirnov distance between these two distributions is obtained as a function of a broad range of network parameters such as per-tier transmission power levels, base station locations, fading statistics and the path-loss model. A simulation study is performed to corroborate the analytical results. In particular, a good statistical match between the standardized AWI distribution and its normal approximation occurs even for moderately dense heterogenous cellular networks. These results are expected to have important ramifications for the characterization of performance upper and lower bounds for emerging 5G network architectures.
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U2 - 10.1109/ISIT.2016.7541571
DO - 10.1109/ISIT.2016.7541571
M3 - Conference contribution
AN - SCOPUS:84985930740
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1611
EP - 1615
BT - Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE International Symposium on Information Theory, ISIT 2016
Y2 - 10 July 2016 through 15 July 2016
ER -