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The authors consider a K-tier downlink multi-antenna Heterogeneous cellular Network (HetNet), where Base Stations (BSs) across tiers differ in terms of transmit power, deployment density, target Signal-to-Interference Ratio (SIR), number of transmit antennas, number of users served in each resource block and hence the transmission technique. The main contribution of this paper is the ordering result for three transmission techniques: Single User BeamForming (SU-BF), baseline single antenna transmission, and Space Division Multiple Access (SDMA), in terms of both coverage probability and rate per user, using tools from stochastic orders.
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