Abstract
This paper presents a stochastic geometry analysis of radio interference and a grid-based design of a primary exclusive region (PER) for spectrum sharing in the 3D unmanned aerial vehicle (UAV) networks. When a UAV network shares frequency bands with a primary system (e.g., a weather radar system), the UAVs must avoid harmful interference with the primary system. To facilitate the design of a complex-shaped PER according to a primary user's antenna pattern, spatial grid models, namely cylindrical and cubic grid models, are introduced. In the cylindrical grid model, to approximate the distribution of the interference at the radar, the cumulants of the interference are expressed by expressions with simple integrals or even closed-form expressions based on the assumption that the distributions of the UAVs in each grid cell follow an inhomogeneous 3D Poisson point process (PPP). In the cubic grid model, the shape of the grid cell is approximated by the cylindrical grid cell to derive the cumulants of the interference because they cannot be calculated in the same manner as in the cylindrical grid model. Using the derived interference cumulants to determine a PER to satisfy the radar's outage probability target, an optimization problem that minimizes the number of the UAVs forbidden from transmitting signals is formulated. The numerical results confirm that the approximated interference distribution using cumulants is in acceptable agreement with the simulation results and the PER obtained from the proposed optimization problem improves the number of the transmitting UAVs by reducing the volume of grid cells.
Highlights
Spectrum sharing is an important issue in unmanned aerial vehicle (UAV) networks
This study presents a stochastic geometry analysis of the interference in UAV networks and proposes the design of a grid-based 3D primary exclusive region (PER)
This study presented a stochastic geometry analysis of interference in UAV networks and proposed a design for an optimal PER based on cylindrical and cubic grid models
Summary
Spectrum sharing is an important issue in unmanned aerial vehicle (UAV) networks. The usage of UAVs is increasing and their communications require large capacity and high speed for their wide range of application. This study presents a stochastic geometry analysis of the interference in UAV networks and proposes the design of a grid-based 3D PER. The first contribution corresponds to the analysis of the OP at the primary user in 3D networks based on the spatial grid models using stochastic geometry. The second contribution is the design of the optimization framework for a 3D-shaped PER based on the derived interference cumulants, which increases the number of UAVs who can transmit without causing harmful interference to the primary user. Radar using the wide shared band is located at the origin and the UAVs are assumed to follow an inhomogeneous 3D PPP to present a stochastic geometry framework to design a 3D-shaped PER. The study introduces two types of spatial grids, namely cylindrical and cubic, to design the complex-shaped PER according to the primary user’s antenna pattern. It should be noted that the volume of all grid cells correspond to 3
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