Abstract

Stochastic geometry has been used in the literature to develop amenable models to delineate and apprehend the performance of wireless networks. In this paper, we develop a tractable and flexible model for heterogeneous wireless networks consisting of tightly coupled long-term evolution (LTE) Small cell eNodeBs (SeNBs) and wireless fidelity (Wi-Fi) access points (APs). We leverage stochastic geometry to characterize the key performance metrics of LTE-Wi-Fi Aggregation (LWA) system. The positions for SeNBs and APs are modeled as two independent homogeneous Poisson Point Processes (PPPs) in a non co-located LWA scenario. Enabling LWA operation with arbitrary number of Wi-Fi APs in a given region may not ensure maximum rate and coverage. Hence we propose a scheme, InterfereNCe Aware mateRN hArd-core poinT procEss (INCARNATE) to increase the performance of LWA system by allowing LWA operation with a chosen set of Wi-Fi APs. We derive Signal-to-Interference-plus-Noise Ratio (SINR) distribution of UE which is associated to SeNB, AP or LWA. INCARNATE is modelled as a modified Matern Hard-Core Point Process (MHCPP). This further helps to find joint coverage probability and average data rate over the network. We then verify the accuracy of the analytical results with empirical outcomes. INCARNATE scheme outperforms the traditional MHCPP scheme by 73% and 17% in terms of data rate and coverage probability, respectively. Similarly, LWA with INCARNATE scheme excels by 51% and 6.23% as compared to regular LWA in terms of data rate and coverage probability, respectively.

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