Large system performance of interference alignment in single-beam MIMO networks

David A. Schmidt, Wolfgang Utschick, Michael L. Honig

Research output: Chapter in Book/Report/Conference proceedingConference contribution

22 Scopus citations


We consider a network of K interfering transmitter-receiver pairs, where each node has N antennas and at most one beam is transmitted per user. We investigate the asymptotic performance of different beamforming strategies, as characterized by the slope and y-axis intercept (or offset) of the high signal-to-noise-ratio (SNR) sum rate asymptote. It is known that a slope (or multiplexing gain) of 2N - 1 is achievable with interference alignment. On the other hand, a strategy achieving a slope of only N might allow for a significantly higher offset. Assuming that the number of fully aligned beamformer sets that achieve a slope of 2N - 1 is finite for a given channel realization, we approximate the average offset when the best out of a large number L of these sets is selected. We also derive a simple large system approximation for the sum rate of a successive beam allocation scheme when K = N. We show that both approximations accurately predict simulated results for moderate system dimensions and characterize the large-system asymptotes for different relationships between L and N.

Original languageEnglish (US)
Title of host publication2010 IEEE Global Telecommunications Conference, GLOBECOM 2010
StatePublished - 2010
Event53rd IEEE Global Communications Conference, GLOBECOM 2010 - Miami, FL, United States
Duration: Dec 6 2010Dec 10 2010

Publication series

NameGLOBECOM - IEEE Global Telecommunications Conference


Other53rd IEEE Global Communications Conference, GLOBECOM 2010
Country/TerritoryUnited States
CityMiami, FL

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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