In this paper, we analytically derive an upper bound on the error inapproximating the uplink (UL) single-cell interference by a lognormaldistribution in frequency division multiple access (FDMA) small cell networks(SCNs). Such an upper bound is measured by the Kolmogorov Smirnov (KS) distancebetween the actual cumulative density function (CDF) and the approximate CDF.The lognormal approximation is important because it allows tractable networkperformance analysis. Our results are more general than the existing works inthe sense that we do not pose any requirement on (i) the shape and/or size ofcell coverage areas, (ii) the uniformity of user equipment (UE) distribution,and (iii) the type of multi-path fading. Based on our results, we propose a newframework to directly and analytically investigate a complex network withpractical deployment of multiple BSs placed at irregular locations, using apower lognormal approximation of the aggregate UL interference. The proposednetwork performance analysis is particularly useful for the 5th generation (5G)systems with general cell deployment and UE distribution.
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