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Abstract: We derive bounds on the noncoherent capacity of a very general class ofmultiple-input multiple-output channels that allow for selectivity in time andfrequency as well as for spatial correlation. The bounds apply topeak-constrained inputs; they are explicit in the channel-s scatteringfunction, are useful for a large range of bandwidth, and allow to coarselyidentify the capacity-optimal combination of bandwidth and number of transmitantennas. Furthermore, we obtain a closed-form expression for the first-orderTaylor series expansion of capacity in the limit of infinite bandwidth. Fromthis expression, we conclude that in the wideband regime: i it is optimal touse only one transmit antenna when the channel is spatially uncorrelated; iirank-one statistical beamforming is optimal if the channel is spatiallycorrelated; and iii spatial correlation, be it at the transmitter, thereceiver, or both, is beneficial.



Author: Ulrich G. Schuster, Giuseppe Durisi, Helmut Bölcskei, H. Vincent Poor

Source: https://arxiv.org/







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