EURASIP Journal on Applied Signal Processing
Design guidelines for training-based MIMO systems with feedback
IEEE Transactions on Signal Processing
Parameter Estimation for Correlated MIMO Channels with Frequency-Selective Fading
Wireless Personal Communications: An International Journal
A central limit theorem for the SINR at the LMMSE estimator output for large-dimensional signals
IEEE Transactions on Information Theory
Joint channel estimation and resource allocation for MIMO systems: part I: single-user analysis
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
IEEE Transactions on Signal Processing
Optimizing training-based transmission for correlated MIMO systems with hybrid feedback
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Optimized training sequences for spatially correlated MIMO-OFDM
IEEE Transactions on Wireless Communications
Why does the Kronecker model result in misleading capacity estimates?
IEEE Transactions on Information Theory
Superimposed training designs for spatially correlated MIMO-OFDM systems
IEEE Transactions on Wireless Communications
Training sequence design for discriminatory channel estimation in wireless MIMO systems
IEEE Transactions on Signal Processing
EURASIP Journal on Wireless Communications and Networking
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We address optimal estimation of correlated multiple-input multiple-output (MIMO) channels using pilot signals, assuming knowledge of the second-order channel statistics at the transmitter. Assuming a block fading channel model and minimum mean square error (MMSE) estimation at the receiver, we design the transmitted signal to optimize two criteria: MMSE and the conditional mutual information between the MIMO channel and the received signal. Our analysis is based on the recently proposed virtual channel representation, which corresponds to beamforming in fixed virtual directions and exposes the structure and the true degrees of freedom in the correlated channel. However, our design framework is applicable to more general channel models, which include known channel models, such as the transmit and receive correlated model, as special cases. We show that optimal signaling is in a block form, where the block length depends on the signal-to-noise ratio (SNR) as well as the channel correlation matrix. The block signal corresponds to transmitting beams in successive symbol intervals along fixed virtual transmit angles, whose powers are determined by (nonidentical) water filling solutions based on the optimization criteria. Our analysis shows that these water filling solutions identify exactly which virtual transmit angles are important for channel estimation. In particular, at low SNR, the block length reduces to one, and all the power is transmitted on the beam corresponding to the strongest transmit angle, whereas at high SNR, the block length has a maximum length equal to the number of active virtual transmit angles, and the power is assigned equally to all active transmit angles. Consequently, from a channel estimation viewpoint, a faster fading rate can be tolerated at low SNRs relative to higher SNRs.