This monograph presents efficient techniques for communicating over wireless multiple-input multiple- output (MIMO) frequency-flat block-fading channels. For coherent systems, in which full channel state information (CSI) is available at the receiver, but not at the transmitter, it shows that linear dispersion codes that are constructed from large random unitary matrices achieve minimum mean square error and minimum pairwise error probability. Furthermore, these codes achieve maximum mutual information between transmitted and received signals. For non-coherent MIMO systems, in which no CSI is available at the transmitter or the receiver, this monograph addresses the design of Grassmannian constellations that enable the high signal-to-noise ratio non-coherent ergodic capacity to be approached. The design of these consetllations is based on a perturbation analysis that shows the appropriateness of using the chordal Frobenius norm as a design metric. Finally, the monograph presents a non-coherent detector whose performance is comparable to that of the maximum likelihood detector, but it requires significantly less computational effort.
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