Elements of information theory
Elements of information theory
Optimization by Vector Space Methods
Optimization by Vector Space Methods
On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Convex Optimization
Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading
IEEE Transactions on Information Theory
On the capacity of some channels with channel state information
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels
IEEE Transactions on Information Theory
Degrees of freedom in some underspread MIMO fading channels
IEEE Transactions on Information Theory
Capacity and power allocation for fading MIMO channels with channel estimation error
IEEE Transactions on Information Theory
Capacity limits of MIMO channels
IEEE Journal on Selected Areas in Communications
Hi-index | 754.84 |
This paper is concerned with multiple-input multipleoutput (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(ċ∥ċ) such that D(p∥pnom) ≤ d,d ≥ 0, where d is the distance from the so-called nominal channel matrix distribution pnom(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 pnom(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.