Matrix analysis
Elements of information theory
Elements of information theory
Digital Beamforming in Wireless Communications
Digital Beamforming in Wireless Communications
On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Optimal designs for space-time linear precoders and decoders
IEEE Transactions on Signal Processing
Keyholes, correlations, and capacities of multielement transmit and receive antennas
IEEE Transactions on Wireless Communications
Precoder Design Based on Correlation Matrices for MIMO Systems
IEEE Transactions on Wireless Communications
Optimal transmitter eigen-beamforming and space-time block coding based on channel correlations
IEEE Transactions on Information Theory
Orthogonal time-frequency signaling over doubly dispersive channels
IEEE Transactions on Information Theory
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The ergodic capacity of MIMO frequency-flat and -selective channels depends greatly on the eigenvalue distribution of spatial correlation matrices. Knowing the eigenstructure of correlation matrices at the transmitter is very important to enhance the capacity of the system. This fact becomes of great importance in MIMO wireless systems where because of the fast changing nature of the underlying channel, full channel knowledge is difficult to obtain at the transmitter. In this paper, we first investigate the effect of eigenvalues distribution of spatial correlation matrices on the capacity of frequency-flat and -selective channels. Next, we introduce a practical scheme known as linear precoding that can enhance the ergodic capacity of the channel by changing the eigenstructure of the channel by applying a linear transformation. We derive the structures of precoders using eigenvalue decomposition and linear algebra techniques in both cases and show their similarities from an algebraic point of view. Simulations show the ability of this technique to change the eigenstructure of the channel, and hence enhance the ergodic capacity considerably.