Title :
A Maximum Entropy Characterization of Spatially Correlated MIMO Wireless Channels
Author :
Guillaud, Maxime ; Debbah, Mérouane ; Moustakas, Aris L.
Author_Institution :
Forschungszentrum, Telekommunikation Wien, Vienna
Abstract :
We investigate the problem of establishing the joint probability distribution of the entries of a multiple-input multiple-output (MIMO) spatially correlated flat-fading channel, when little or no information about the channel properties are available. We show that the entropy of a random positive semidefinite matrix is maximized by the Wishart distribution. We subsequently obtain the maximum entropy distribution of the MIMO transfer matrix by establishing its distribution conditioned on the covariance, and by later marginalizing over the covariance matrix. The obtained distribution is isotropic, and is described analytically as a function of the Frobenius norm of the channel matrix.
Keywords :
MIMO communication; covariance matrices; entropy; fading channels; statistical distributions; Frobenius norm; MIMO transfer matrix; Wishart distribution; channel matrix; channel properties; covariance matrix; flat-fading channel; joint probability distribution; maximum entropy characterization; maximum entropy distribution; multiple-input multiple-output channels; random positive semidefinite matrix; spatially correlated MIMO wireless channels; Analytical models; Communications Society; Covariance matrix; Entropy; Fading; Frequency; MIMO; Mobile communication; Predictive models; Receiving antennas;
Conference_Titel :
Wireless Communications and Networking Conference, 2007.WCNC 2007. IEEE
Conference_Location :
Kowloon
Print_ISBN :
1-4244-0658-7
Electronic_ISBN :
1525-3511
DOI :
10.1109/WCNC.2007.197