Capacity of the class of MIMO channels with incomplete CDI - Properties of mutual information for a class of channels
AuthorCharalambous, Charalambos D.
Denic, S. Z.
SourceIEEE Transactions on Information Theory
Google Scholar check
MetadataShow full item record
This paper is concerned with multiple-input multiple-output (MIMO) wireless channel capacity, when the probability distribution of the channel matrix p(H) is not completely known to the transmitter and the receiver. The partial knowledge of a true probability distribution of the channel matrix p(H) is modelled by a relative entropy D(·∥·) such that D(p∥p nom)≤d, d≥0, where d is the distance from the so-called nominal channel matrix distribution p nom(H). The capacity of this compound channel is equal to the maximin of the mutual information, where the minimum is with respect to the channel matrix distribution, and the maximum is with respect to the covariance matrix of a transmitted signal. The existence of a minimizing probability distribution is proved, and the explicit formula for the minimizing distribution is derived in terms of the nominal distribution p nom(H) and parameter d. A number of properties of the mutual information, minimized over the set of channel distributions, are derived. Specifically, upper and lower bounds are derived for the minimized mutual information, while its convexity with respect to d is shown. In the case of the Rayleigh fading, an explicit formula for the capacity and the optimal transmit covariance matrix are derived. © 2009 IEEE.
Showing items related by title, author, creator and subject.
Loyka, S.; Charalambous, Charalambos D. (2016)A general formula, for the capacity of arbitrary compound channels with the receiver channel state information, is obtained using the information density approach. No assumptions of ergodicity, stationarity, or information ...
Loyka, S.; Charalambous, Charalambos D. (2012)The compound capacity of uncertain multiple-input multiple-output channels is considered, when the channel is modeled by a class described by a (known) nominal channel and a constrained-norm (unknown) uncertainty. Within ...
Charalambous, Charalambos D.; Ioannou, I. (2009)In this paper we investigate the outage probability of Multiple-Input Multiple-Output (MIMO) channels, when the probability distribution of the channel gains is not completely known to the transmitter and receiver. The ...