Analyzing the Impact of Access Point Density on the Performance of Finite-Area Networks

Abstract

Assuming a network of infinite extent, several researchers have analyzed small-cell networks using a Poisson point process (PPP) location model, leading to simple analytic expressions. The general assumption has been that these results apply to finite-area networks as well. However, do the results of infinite-area networks apply to finite-area networks? In this paper, we answer this question by obtaining an accurate approximation for the achievable signal-to-interference-plus-noise ratio (SINR) and user capacity in the downlink of a finitearea network with a fixed number of access points (APs). The APs are uniformly distributed within the area of interest. Our analysis shows that, crucially, the results of infinite-area networks are very different from those for finite-area networks of low-to-medium AP density. Comprehensive simulations are used to illustrate the accuracy of our analysis. For practical values of signal transmit powers and AP densities, the analytic expressions capture the behavior of the system well. As an added benefit, the formulations developed here can be used in parametric studies for network design. Here, the analysis is used to obtain the required number of APs to guarantee a desired target capacity in a finite-area network.

Optimal Non-Uniform Deployments in Ultra-Dense Finite-Area Cellular Networks

“…A similar result was obtained by [8] who studied the impact of AP density in finite-area networks. It is therefore desirable to understand how Access Points (AP) should be deployed in order to maximise Mobile User (MU) coverage; to this end, and motivated by the aforementioned findings in [5]- [8], we revisit the coverage problem in dense, finite area, cellular networks and analyse the optimal deployment of APs for a non-uniform distribution of MU. Fig.…”

“…Here 2 F 1 is the Gauss hypergeometric function. Equation (8) can only be expressed in closed form for the special case of r = 0, in which case we obtain…”

Boundaries as an Enhancement Technique for Physical Layer Security

“…With the forecasted deployment of indoor ultra-dense wireless networks, it becomes important to develop models that consider the impact of boundaries in the performance analysis [1]- [6]. It is well-known that close to the boundary, the connection probability degrades due to isolation [1], [5], but it improves in terms of interference [2], [4]. Analytical models considering finite deployment areas have so far been used to study spatial and temporal interference aspects [2]- [4], optimize the base station density in cellular networks [2], assess millimeter-wave network performance [6], etc.…”

Performance Analysis of Local Anchor Based 5G Hetnets Using Stochastic Geometry

“…It is noted that the location of wireless nodes can be well represented in 2-dimensions as a PPP process for large-scale networks. Practical finite networks can be more accurately modeled with a Binomial Point Process (BPP) [9]. In this case, the distance distributions between any node and its nearest and n-nearest neighbors become a Kumaraswamy and a generalized Beta distribution, respectively [10].…”