Asymptotic spectral efficiency of the uplink in spatially distributed wireless networks with multi-antenna base stations

Siddhartan Govindasamy, Daniel Bliss, David H. Staelin

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The spectral efficiency of a representative uplink of a given length, in interference-limited, spatially-distributed wireless networks with hexagonal cells, simple power control, and multiantenna linear Minimum-Mean-Square-Error receivers is found to approach an asymptote as the numbers of base-station antennas N and wireless nodes go to infinity. An approximation for the area-averaged spectral efficiency of a representative link (averaged over the spatial base-station and mobile distributions), for Poisson distributed base stations, is also provided. For large N, in the interference-limited regime, the area-averaged spectral efficiency is primarily a function of the ratio of the product of N and the ratio of base-station to wireless-node densities, indicating that it is possible to scale such networks by linearly increasing the product of the number of base-station antennas and the relative density of base stations to wireless nodes, with wireless-node density. The results are useful for designers of wireless systems with high inter-cell interference because it provides simple expressions for spectral efficiency as a function of tangible system parameters like base-station and wireless-node densities, and number of antennas. These results were derived combining infinite random matrix theory and stochastic geometry.

Original languageEnglish (US)
Article number6528073
Pages (from-to)100-112
Number of pages13
JournalIEEE Transactions on Communications
Issue number7
StatePublished - 2013


  • Antenna arrays
  • Cellular networks
  • Hexagonal cells
  • MIMO
  • Stochastic geometry

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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