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Favorable Propagation with User Cluster Sharing

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Document pages: 7 pages

Abstract: We examine the favorable propagation (FP) behavior of a massive multi-usermultiple-input-multiple-output (MU-MIMO) system equipped with a uniform lineararray (ULA), horizontal uniform rectangular array (HURA) or uniform circulararray (UCA) using a ray-based channel model with user cluster sharing. Wedemonstrate FP for these systems and provide analytical expressions for themean-squared distance (MSD) of the FP metric from its large-system limit foreach of the aforementioned topologies. We use these results to examine thedetrimental effects of user cluster sharing on FP behavior, and demonstrate thesuperior performance of the ULA as compared to the UCA and the HURA with equalinter-element spacing. Although cluster sharing has a negative impact on FP forfinite arrays, we additionally examine the asymptotic rate of convergence to FPas a function of array size and show that this rate is unchanged with orwithout user cluster sharing.

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