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Underlay Radar-Massive MIMO Spectrum Sharing Modeling Fundamentals and Performance Analysis

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Document pages: 30 pages

Abstract: In this work, we investigate underlay radar-massive MIMO cellular coexistencein LoS near-LoS channels, where both systems are capable of 3D beamforming. Thebase station (BS) locations are modeled using a homogeneous Poisson pointprocess (PPP), and a single radar is located at the center of a circularexclusion zone (EZ) within which the BSs are prohibited from operating. Wederive a tight upper bound on the average interference power at the radar dueto the massive MIMO downlink. This is based on a novel construction in whicheach Poisson Voronoi (PV) cell is bounded by its circumcircle in order to boundthe effect of the random cell shapes on average interference. However, thismodel is intractable for characterizing the interference distribution, due tothe correlation between the shapes sizes of adjacent PV cells. Hence, wepropose a tractable nominal interference model where each PV cell is modeled asa circular disk with area equal to the average area of the typical cell. Wequantify the gap in the average interference power between these two models,and show that the upper bound is tight for realistic deployment parameters.Under the nominal interference model, we derive the equal interference contourin closed-form, and characterize the interference distribution using thedominant interferer approximation. Finally, we use tractable expressions forthe interference distribution to characterize important radar performancemetrics such as the spatial probability of false alarm detection in aquasi-static target tracking scenario. We validate the accuracy of ouranalytical approximations using numerical results, which reveal useful trendsin the average interference as a function of the deployment parameters, andprovide useful system design insights in the form of radar receiver operatingcharacteristic (ROC) curves for current and future radar-cellular spectrumsharing scenarios.

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