Abstract
Due to the dense deployment of base stations (BSs) in heterogeneous cellular networks (HCNs), the energy efficiency (EE) of HCN has attracted the attention of academia and industry. Considering its mathematical tractability, the Poisson point process (PPP) has been employed to model HCNs and analyze their performance widely. The PPP falls short in modeling the effect of interference management techniques, which typically introduces some form of spatial mutual exclusion among BSs. In PPP, all the nodes are independent from each other. As such, PPP may not be suitable to model networks with interference management techniques, where there exists repulsion among the nodes. Considering this, we adopt the Matérn hard-core process (MHCP) instead of PPP, in which no two nodes can be closer than a repulsion radius from one another. In this paper, we study the coverage performance and EE of a two-tier HCN modelled by Matérn hard-core process (MHCP); we abbreviate this kind of two-tier HCN as MHCP-MHCP. We first derive the approximate expression of coverage probability of MHCP-MHCP by extending the approximate signal to interference ratio analysis based on the PPP (ASAPPP) method to multi-tier HCN. The concrete SIR gain of the MHCP model relative to the PPP model is derived through simulation and data fitting. On the basis of coverage analysis, we derive and formulate the EE of MHCP-MHCP network. Simulation results verify the correctness of our theoretical analysis and show the performance difference between the MHCP-MHCP and PPP modelled network.
Highlights
In recent years, in order to meet the increasing data rate requirements of users, the traditional cellular networks have evolved into heterogeneous cellular networks (HCNs) [1,2]
[15,16] only cover the one-tier cellular network model. [17] derives the coverage probability of the two-tier HCN modelled by Poisson point process (PPP) and Poisson Cluster Processes (PCP), but the derivation process is too complicated and the results can only be obtained by numerical computation. [18] and [19] analyze the distribution of the conditional success probability for HCN based on PPP and non-PPP, respectively
We studied the coverage performance and EE of the two-tier Matérn hard-core process (MHCP)-MHCP network
Summary
In order to meet the increasing data rate requirements of users, the traditional cellular networks have evolved into heterogeneous cellular networks (HCNs) [1,2]. The Poisson point process (PPP)-based model can reflect the randomness of the BS distribution, but can give easy analysis results [4]. The method approximately evaluates the coverage of HCN based on the non-PPP model by scaling the SIR threshold in the corresponding PPP model. Using the ASAPPP method, the authors of [15] give the approximate SIR distribution of the network based on Ginibre Point process and Square Lattice, respectively. [17] derives the coverage probability of the two-tier HCN modelled by PPP and PCP, but the derivation process is too complicated and the results can only be obtained by numerical computation. We derive the coverage probability of the MHCP-MHCP network with the use of the “ET-ASAPPP” method.
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