Success probability and area spectral efficiency in multiuser MIMO hetnets

C. Li, Jun Zhang, J.G. Andrews, K.B. Letaief

Research output: Journal article publicationJournal articleAcademic researchpeer-review

78 Citations (Scopus)


© 2016 IEEE. We derive a general and closed-form 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 K different tiers of randomly placed base stations (BSS), assuming zeroforcing precoding and perfect channel state information. The large SIR limit of this result admits a simple closed form that is accurate at moderate SIRs, e.g., above 5 dB. These results reveal that the SIR-invariance property of SISO HetNets does not hold for MIMO HetNets; instead the success probability may decrease as the network density increases.We prove that themaximum success probability is achieved by activating only one tier of BSS, while the maximum area 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 maximum ASE while guaranteeing a certain link reliability, we develop efficient algorithms to find the optimal BS densities. It is shown that as the link reliability requirement increases, more BSS and more tiers should be deactivated.
Original languageEnglish
Article number7412737
Pages (from-to)1544-1556
Number of pages13
JournalIEEE Transactions on Communications
Issue number4
Publication statusPublished - 1 Apr 2016
Externally publishedYes


  • Area spectral efficiency
  • Link reliability
  • MIMO heterogeneous networks
  • Poisson point process

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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