Maximum entropy characterization of spatially correlated MIMO wireless channels

Guillaud, Maxime; Debbah, Merouane; Moustakas, Aris L
WCNC 2007, IEEE Wireless and Communications Conference, 11-15 March, 2007, Hong Kong

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.


DOI
Type:
Conférence
Date:
2007-03-11
Department:
Systèmes de Communication
Eurecom Ref:
2037
Copyright:
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PERMALINK : https://www.eurecom.fr/publication/2037