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We consider a user-centric co-operative cellular network, where base stations(BSs) close to a mobile co-operate to detect its signal using a (joint) linearminimum-mean-square-error receiver. The BSs are at arbitrary positions andmobiles are modeled as a planar Poisson Point Process (PPP). Combiningstochastic geometry and infinite-random-matrix theory, we derive a simpleexpression for the spectral efficiency of this complex system as the number ofantennas grows large. This framework is applied to BS locations from PPPs andhexagonal grids, and are validated through Monte Carlo simulations. The resultsreveal the influence of tangible system parameters such as mobile andbase-station densities, number of antennas per BS, and number of co-operatingBSs on achievable spectral efficiencies. Among other insights, we find that fora given BS density and a constraint on the total number of co-operatingantennas, all co-operating antennas should be located at a single BS. On theother hand, in our asymptotic regime, for the same number of co-operatingantennas, if the network is limited by the area density of antennas, then thenumber of co-operating BSs should be increased with fewer antennas per BS.

Uplink performance of multi-antenna cellular networks with co-operative base stations and user-centric clustering