[C16] - Distributed optimization in multi-user MIMO systems with imperfect and delayed information

P. Coucheney, B. Gaujal, and P. Mertikopoulos. In ISIT '14: Proceedings of the 2014 IEEE International Symposium on Information Theory, 2014.


In this paper, we analyze the problem of signal covariance optimization in Gaussian multiple-input, multiple-output (MIMO) channels under imperfect (and possibly delayed) channel state information. Starting from the continuous-time dynamics of matrix exponential learning, we develop a distributed optimization algorithm driven by a damping term which ensures the method’s stability under stochastic perturbations and asynchronicities of arbitrary magnitude. As opposed to traditional water-filling methods, the algorithm’s convergence properties (speed and accuracy) can be controlled by tuning the users' learning rate and/or the damping parameter. Accordingly, the algorithm converges arbitrarily close to an optimum signal covariance profile within a few iterations, even for large numbers of users and/or antennas per user. Furthermore, the quality of the solution obtained remains robust in the presence of imperfect (or delayed) measurements and asynchronous user updates.

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