Maximum Entropy MIMO Wireless Channel Models

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dc.creatorGuillaud, M.
dc.creatorDebbah, M.
dc.creatorMoustakas, A. L.
dc.date2006-12-20
dc.date.accessioned2026-07-07T08:16:53Z
dc.date.available2026-07-07T08:16:53Z
dc.descriptionIn this contribution, models of wireless channels are derived from the maximum entropy principle, for several cases where only limited information about the propagation environment is available. First, analytical models are derived for the cases where certain parameters (channel energy, average energy, spatial correlation matrix) are known deterministically. Frequently, these parameters are unknown (typically because the received energy or the spatial correlation varies with the user position), but still known to represent meaningful system characteristics. In these cases, analytical channel models are derived by assigning entropy-maximizing distributions to these parameters, and marginalizing them out. For the MIMO case with spatial correlation, we show that the distribution of the covariance matrices is conveniently handled through its eigenvalues. The entropy-maximizing distribution of the covariance matrix is shown to be a Wishart distribution. Furthermore, the corresponding probability density function of the channel matrix is shown to be described analytically by a function of the channel Frobenius norm. This technique can provide channel models incorporating the effect of shadow fading and spatial correlation between antennas without the need to assume explicit values for these parameters. The results are compared in terms of mutual information to the classical i.i.d. Gaussian model.
dc.descriptionSubmitted to IEEE Trans. Information Theory Dec. 2006; 16 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cs/0612101
dc.identifierhttp://arxiv.org/abs/cs/0612101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133941
dc.subjectInformation Theory
dc.titleMaximum Entropy MIMO Wireless Channel Models
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