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Inverse eigenvalue statistics for Rayleigh and Rician MIMO channels

: Jorswieck, E.; Wunder, G.; Jungnickel, V.; Haustein, T.

IEE Professional Network for Antennas and Propagation:
MIMO: Communications systems from concept to implementations: Seminar : Wednesday, 12 Dcember 2001, Savoy Place, London
London: IEE, 2001 (Digest. Institution of Electrical Engineers 2001,175)
Seminar "MIMO: Communications Systems from Concept to Implementations" <2001, London>
Conference Paper
Fraunhofer HHI ()
eigenvalues and eigenfunctions; mimo systems; numerical analysis; rayleigh channels; receiving antennas; rician channels; signal processing; statistical analysis; transmitting antennas; empirical distribution function; wishart matrices; moments; numerical simulations; inverse eigenvalue statistics; multiple antennas; wireless communication system

Recently reclaimed importance of the empirical distribution function of the eigenvalues of Wishart matrices was attached to the analysis of MIMO systems in Hochwald et al. (2001). But for the analysis of MIMO systems with signal processing at the transmitter (Jungnickel et al. (2001)) it is necessary to know the empirical distribution function of the inverse eigenvalues and the first and second moment of these distributions. We extend the results on the eigenvalue distribution and develop a method for computing the moments of the inverse eigenvalues. We show the impact of these results on MIMO system design with examples and verify our results with numerical simulations.