Stochastic Geometry-Based Modeling and Analysis of Citizens Broadband Radio Service System

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In this paper, we model and analyze a cellular network that operates in the licensed band of the 3.5-GHz spectrum and consists of a licensed and an unlicensed operator. Using tools from stochastic geometry, we concretely characterize the performance of this spectrum sharing system. We model the locations of the licensed base stations (BSs) as a homogeneous Poisson point process with protection zones (PZs) around each BS. Since the unlicensed BSs cannot operate within the PZs, their locations are modeled as a Poisson hole process. In addition, we consider carrier sense multiple access with collision avoidance-type contention-based channel access mechanism for the unlicensed BSs. For this setup, we rst derive an approximate expression and useful lower bounds for the medium access probability of the serving unlicensed operator BS. Furthermore, by ef ciently handling the correlation in the interference powers induced due to correlation in the locations of the licensed and unlicensed BSs, we provide approximate expressions for the coverage probability of a typical user of each operator. Subsequently, we study the effect of different system parameters on area spectral ef ciency of the network. To the best of our knowledge, this is the rst attempt toward accurate modeling and analysis of a citizens broadband radio service system using tools from stochastic geometry.

stochastic geometry, CBRS spectrum, Poisson hole process, medium access probability, coverage probability