论文信息 - Inverse eigenvalue statistics for Rayleigh and Rician MIMO channels

Inverse eigenvalue statistics for Rayleigh and Rician MIMO channels

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. (6 pages)

Gerhard Wunder | Volker Jungnickel | Eduard A. Jorswieck | Thomas Haustein

[1] Dan Popescu,et al. Information capacity of a random signature multiple-input multiple-output channel , 2000, IEEE Trans. Commun..

[2] J. W. Silverstein,et al. No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices , 1998 .

[3] Thomas L. Marzetta,et al. Space-Time autocoding , 2001, IEEE Trans. Inf. Theory.

[4] M. J. Gans,et al. On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[5] K.W. Forsythe,et al. MIMO communication capacity using infinite dimension random matrix eigenvalue distributions , 2001, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[6] Volker Jungnickel,et al. A MIMO WLAN based on linear channel inversion , 2001 .

[7] Paul D. Alexander,et al. Random Sequence Multisets for Synchronous Code-Division Multiple-Access Channels , 1998, IEEE Trans. Inf. Theory.

[8] J. W. Silverstein,et al. On the empirical distribution of eigenvalues of a class of large dimensional random matrices , 1995 .