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Heterogeneous cellular networks (HCNs) usually exhibit spatial separationamongst base stations (BSs) of different types (termed tiers in this paper).For instance, operators will usually not deploy a picocell in close proximityto a macrocell, thus inducing separation amongst the locations of pico andmacrocells. This separation has recently been captured by modeling the smallcell locations by a Poisson Hole Process (PHP) with the hole centers being thelocations of the macrocells. Due to the presence of exclusion zones, theanalysis of the resulting model is significantly more complex compared to themore popular Poisson Point Process (PPP) based models. In this paper, we derivea tight bound on the distribution of the distance of a typical user to theclosest point of a PHP. Since the exact distribution of this distance is notknown, it is often approximated in the literature. For this model, we thenprovide tight characterization of the downlink coverage probability for atypical user in a two-tier closed-access HCN under two cases: (i) typical useris served by the closest macrocell, and (ii) typical user is served by itsclosest small cell. The proposed approach can be extended to analyze otherrelevant cases of interest, e.g., coverage in a PHP-based open access HCN.

Serving Distance and Coverage in a Closed Access PHP-Based Heterogeneous Cellular Network