Ger man Aerospace Center Marrakech, March 13-15, 2006 Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods Ingmar Groh, Simon Plass, and Stephan Sand German Aerospace Center (DLR)

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 2/8 Ger man Aerospace Center Outline of the Presentation  Short Summary of the DLR Contribution: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods  Further possible improvements concerning the MIMO Channel Capacity Approximations  Simulation Results for the proposed new Capacity Approximations  Outlook on possible other fields for applications of random matrix methods

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 3/8 Ger man Aerospace Center Short Summary of the ISCCSP 2006 contribution  Methods for determining MIMO channel capacities  Assumption of infinitely large channel matrices  Good performance for low SNR values, performance degradation only for high SNR values  Channel capacity: Approximation values slightly smaller more helpful  Incorporation of Random Matrix principles for determining the Taylor series expansion point

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 4/8 Ger man Aerospace Center Enhanced MIMO Channel Capacity Approximations  More precise estimate for the eigenvalues in  Exploitation of Random Matrix Theory to determine a good, too  New suggestion: with a certain correction factor, and,

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 5/8 Ger man Aerospace Center A new approach for determining expansion points  Eigenvalue distribution,,

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 6/8 Ger man Aerospace Center Simulation Results I  Fixed number of Rx antennas

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 7/8 Ger man Aerospace Center Simulation Results II  Fixed number of Rx antennas

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 8/8 Ger man Aerospace Center Outlook on possible other fields for applications of random matrix methods  Improving MIMO Channel Estimation Methods (Channel Estimation using Correlations, Least Squares Channel Estimation, Iterative Channel Estimation)  Analysis of Conditional Mean Estimators for Gramian Matrices in the Context of Girko Estimators  Analysis of the power control for CDMA systems and other spread- spectrum systems  Asymptotic Analysis of Optimum Bit and Power Loading for MIMO BICM-OFDM Systems