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Large System Performance of Interference Alignment in Single-Beam MIMO Networks

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3 Author(s)
Schmidt, D.A. ; Associate Inst. for Signal Process., Tech. Univ. Munchen, Munich, Germany ; Utschick, W. ; Honig, M.L.

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.

Published in:

Global Telecommunications Conference (GLOBECOM 2010), 2010 IEEE

Date of Conference:

6-10 Dec. 2010