Success Probability and Area Spectral Efficiency in Multiuser MIMO HetNets


We derive a general and closed-kind result for the success probability in downlink multiple-antenna (MIMO) heterogeneous cellular networks (HetNets), utilizing a novel Toeplitz matrix representation. This main result, which is equivalently the signal-to-interference ratio (SIR) distribution, includes multiuser MIMO, single-user MIMO and per-tier biasing for different tiers of randomly placed base stations (BSs), assuming zero-forcing precoding and good channel state info. The large SIR limit of this result admits a easy closed type that's correct at moderate SIRs, e.g., higher than five dB. These results reveal that the SIR-invariance property of SISO HetNets will not hold for MIMO HetNets; instead the success probability might decrease because the network density will increase. We tend to prove that the maximum success probability is achieved by activating only one tier of BSs, while the most space spectral efficiency (ASE) is achieved by activating all the BSs. This reveals a unique tradeoff between the ASE and link reliability in multiuser MIMO HetNets. To achieve the most ASE while guaranteeing a bound link reliability, we have a tendency to develop efficient algorithms to seek out the optimal BS densities. It is shown that because the link reliability demand increases, additional BSs and more tiers ought to be deactivated.

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