Name
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/WCNC.2007.197 | 2007 IEEE WIRELESS COMMUNICATIONS & NETWORKING CONFERENCE, VOLS 1-9 |
Keywords | Field | DocType |
mimo,joint probability distribution,transfer matrix,covariance matrix,maximum entropy,predictive models,probability distribution,wishart distribution,entropy,spatial correlation,mobile communication,positive semidefinite matrix,fading,frobenius norm,statistical distributions,fading channel,frequency,maximum entropy distribution | Applied mathematics,Mathematical optimization,Estimation of covariance matrices,MIMO,Real-time computing,Multivariate normal distribution,Covariance matrix,Principle of maximum entropy,Wishart distribution,Mathematics,Covariance,Maximum entropy probability distribution | Conference |
ISSN | Citations | PageRank |
1525-3511 | 1 | 0.40 |
References | Authors | |
6 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maxime Guillaud | 1 | 315 | 30.64 |
| Mérouane Debbah | 2 | 8575 | 477.64 |
| Aris L. Moustakas | 3 | 326 | 32.92 |