Ger manAerospace Center

Marrakech, March 13-15, 2006

Capacity Approximations forUncorrelated MIMO Channels Using Random Matrix Methods

Ingmar Groh, Simon Plass, and Stephan SandGerman Aerospace Center (DLR)

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 2/8

Ger manAerospace 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 manAerospace 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

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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 manAerospace Center

A new approach for determining expansion points

Eigenvalue distribution , ,

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 6/8

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Simulation Results I

Fixed number of Rx antennas

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 7/8

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Simulation Results II

Fixed number of Rx antennas

I.Groh: Capacity Approximations for Uncorrelated MIMO Channels Using Random Matrix Methods 8/8

Ger manAerospace 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