Performance Analysis of Dense Low Earth Orbit Satellite Communication Networks with Stochastic Geometry

다국어 초록 (Multilingual Abstract)

The low Earth orbit (LEO) satellite communicationsystems have drawn much attention as a promising solutionfor providing global wireless connectivity. This paper studiesthe downlink performances of LEO satellite communicationsystems performing a directional beamforming with a stochasticgeometry. As the beamwidth of the satellite increases, the beamcoverage increases but the interference from other satellitesalso increases. This is vice versa for the smaller beamwidth.
Accordingly, the optimal beamwidth control is necessary tobalance the beam coverage and the network interference. Toaddress such issue, we first derive the conditional distancedistribution to serving line-of-sight (LoS) and non-line-of-sight(NLoS) satellites, conditioned on that there exists at least onesatellite in the satellite-visible region and the user is locatedwithin the beam coverage of the satellite. Then, we derive theexact and approximated formulas for the coverage probabilityand the ergodic rate as a function of the beamdwidth. Withsome numerical examples, we investigate how various systemparameters such as altitude and satellite density affect on theoptimal beamwidth and demonstrate that the optimal control ofthe beamwidth of the satellites can maximize the performancesby efficiently controlling the amount of interference and beamcoverage.