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We investigate the constrained capacity of multiple-antenna fading coherentchannels, where the receiver knows the channel state but the transmitter knowsonly the channel distribution, driven by arbitrary equiprobable discrete inputsin a regime of high signal-to-noise ratio (${\sf snr}$). In particular, wecapitalize on intersections between information theory and estimation theory toconceive expansions to the average minimum-mean squared error (MMSE) and theaverage mutual information, which leads to an expansion of the constrainedcapacity, that capture well their behavior in the asymptotic regime of high${\sf snr}$. We use the expansions to study the constrained capacity of variousmultiple-antenna fading coherent channels, including Rayleigh fading models,Ricean fading models and antenna-correlated models. The analysis unveils indetail the impact of the number of transmit and receive antennas, transmit andreceive antenna correlation, line-of-sight components and the geometry of thesignalling scheme on the reliable information transmission rate. We also usethe expansions to design key system elements, such as power allocation andprecoding schemes, as well as to design space-time signalling schemes formultiple-antenna fading coherent channels. Simulations results demonstrate thatthe expansions lead to very sharp designs.

Multiple-antenna fading coherent channels with arbitrary inputs: Characterization and optimization of the reliable information transmission rate