- Modeling and analysis of cellular networks using the Ginibre point process
Recently, spatial stochastic models for the analysis of cellular networks have been attracting much attention. However, many works on such spatial models assume, due to the tractability, that the base stations are deployed according to homogeneous Poisson point processes (PPPs). This means that the base stations are deployed independently with each other and their spatial correlation is ignored. In this talk, we consider the spatial models of cellular networks, where the base stations are deployed according to the Ginibre point process (GPP). The GPP is one of the determinantal point processes and accounts for the repulsion between the base stations. We first review the definition and some useful properties of GPP for the modeling of cellular networks. Then, for the proposed models, we give the integral representations for the coverage probability. Through some numerical experiments, we compare the GPP-based models with the traditional PPP-based models.
- Cutting the Last Wires by Wireless Power Transfer and Harvesting
Presently, mobile devices have to be connected by cables to the electric grid for recharging and cutting these "last wires" is the theme of this talk. This problem can be solved by either wireless power transfer (WPT) or energy harvesting. This talk will introduce research on applying stochastic-geometry (SG) to design mobile networks powered using these new technologies.
First, we will present a network architecture that overlays a cellular network with randomly deployed power beacons (PBs) for wireless recharging. Based on a SG network model, we will show the tradeoffs between the base-station and PB densities.
Second, we will consider a mobile ad hoc network powered by energy harvesting. In this research, the network is modeled using a Poisson point process and random energy arrivals at transmitters are modelled as stochastic processes. Using this model, we derive the maximum network spatial throughput for a given energy arrival rate.
- Analysis of Rate Outage with Fractional Frequency Reuse and Interference Cancellation
Both fractional frequency reuse and interference cancellation have been proposed as methodologies to improve the capacity of cellular systems. Using stochastic geometry techniques we analyze the impact of both these features in terms of rate outage and capacity. Finally, using analysis and simulations we study their applicability in a realistic cellular system.