TY - GEN

T1 - Minimum mean squared error interference alignment

AU - Schmidt, David A.

AU - Shi, Changxin

AU - Berry, Randall A.

AU - Honig, Michael L.

AU - Utschick, Wolfgang

PY - 2009

Y1 - 2009

N2 - To achieve the full multiplexing gain of MIMO interference networks at high SNRs, the interference from different transmitters must be aligned in lower-dimensional subspaces at the receivers. Recently a distributed "max-SINR" algorithm for precoder optimization has been proposed that achieves interference alignment for sufficiently high SNRs. We show that this algorithm can be interpreted as a variation of an algorithm that minimizes the sum Mean Squared Error (MSE). To maximize sum utility, where the utility depends on rate or SINR, a weighted sum MSE objective is used to compute the beams, where the weights are updated according to the sum utility objective. We specify a class of utility functions for which convergence of the sum utility to a local optimum is guaranteed with asynchronous updates of beams, receiver filters, and utility weights. Numerical results are presented, which show that this method achieves interference alignment at high SNRs, and can achieve different points on the boundary of the achievable rate region by adjusting the MSE weights.

AB - To achieve the full multiplexing gain of MIMO interference networks at high SNRs, the interference from different transmitters must be aligned in lower-dimensional subspaces at the receivers. Recently a distributed "max-SINR" algorithm for precoder optimization has been proposed that achieves interference alignment for sufficiently high SNRs. We show that this algorithm can be interpreted as a variation of an algorithm that minimizes the sum Mean Squared Error (MSE). To maximize sum utility, where the utility depends on rate or SINR, a weighted sum MSE objective is used to compute the beams, where the weights are updated according to the sum utility objective. We specify a class of utility functions for which convergence of the sum utility to a local optimum is guaranteed with asynchronous updates of beams, receiver filters, and utility weights. Numerical results are presented, which show that this method achieves interference alignment at high SNRs, and can achieve different points on the boundary of the achievable rate region by adjusting the MSE weights.

UR - http://www.scopus.com/inward/record.url?scp=77953827725&partnerID=8YFLogxK

U2 - 10.1109/ACSSC.2009.5470055

DO - 10.1109/ACSSC.2009.5470055

M3 - Conference contribution

AN - SCOPUS:77953827725

SN - 9781424458271

T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers

SP - 1106

EP - 1110

BT - Conference Record - 43rd Asilomar Conference on Signals, Systems and Computers

T2 - 43rd Asilomar Conference on Signals, Systems and Computers

Y2 - 1 November 2009 through 4 November 2009

ER -