In this paper, we give qualitative and quantitative arguments for the use of perturbed triangular lattice (PTL) models for generating base station deployments with any amount of spatial regularity, which is useful notably in modeling different tiers of HetNets. We use the coefficient of variation of three spatial properties of point processes to measure the regularity of two common types of PTL: uniform on disc and Gaussian. From these measurements, we are able to derive a simple formula that allows matching and interchanging the two PTL models, within about 0.1 dB error in SIR.

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Keywords 5G, HetNets, Hexagonal lattice, Regularity, Repulsive point process, Second-order statistics, Stochastic geometry
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Conference 84th IEEE Vehicular Technology Conference, VTC Fall 2016
Lagum, F. (Faraj), Szyszkowicz, S.S. (Sebastian S.), & Yanikomeroglu, H. (2017). Quantifying the regularity of perturbed triangular lattices using cov-based metrics for modeling the locations of base stations in HetNets. In IEEE Vehicular Technology Conference. doi:10.1109/VTCFall.2016.7881184