On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Iterative multiuser uplink and downlink beamforming under SINR constraints
IEEE Transactions on Signal Processing
Multiple-antenna capacity in correlated Rayleigh fading with channel covariance information
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
How much training is needed in multiple-antenna wireless links?
IEEE Transactions on Information Theory
Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality
IEEE Transactions on Information Theory
Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels
IEEE Transactions on Information Theory
Iterative water-filling for Gaussian vector multiple-access channels
IEEE Transactions on Information Theory
Sum power iterative water-filling for multi-antenna Gaussian broadcast channels
IEEE Transactions on Information Theory
Capacity and power allocation for fading MIMO channels with channel estimation error
IEEE Transactions on Information Theory
The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel
IEEE Transactions on Information Theory
Achievable rate of MIMO channels with data-aided channel estimation and perfect interleaving
IEEE Journal on Selected Areas in Communications
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We propose an upper and a lower bound on the mutual information of a pilot-aided MIMO link operating under imperfect receiver CSI. Said bounds depend on the linear channel estimator employed. They can be understood as a generalization of results from [1] and [2]. Furthermore, we prove that any bijective operation performed on the channel estimation does not modify the value of the mutual information bounds. Also, we prove that any sufficient channel estimator is equivalently optimal in terms of maximizing the upper and lower mutual information bounds. These two properties result to be identical to known properties of the true mutual information, namely the invariance against bijective (invertible) operations performed on the random variables, and the optimality of sufficient estimation (e.g., [3]). The study of these bound properties offers new insights and a deeper understanding of them, as compared to their original derivation in [1] and [2]. To complete the analysis, we show that the gap between the upper and lower bound (and thus also between the true mutual information and the lower bound) is generally upper-bounded by a constant which only depends on the number of receive antennas. This can be seen as a generalization of findings from [1]. Additionally, we show that by taking certain parameter interdependencies more accurately into account, this bound gap becomes significantly smaller, and the mutual information bounds are thus shown to be even tighter.