Capacity bounds for peak-constrained multiantenna wideband channels

Authors

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

Reference

Proc. of IEEE International Symposium on Information Theory (ISIT), Toronto, ON, Canada, pp. 1582-1586, July 2008.

DOI: 10.1109/ISIT.2008.4595254

Abstract

This paper presents bounds on the noncoherent capacity of a very general multiple-input multiple-output channel, which allows for selectivity in time and frequency as well as for spatial correlation. The bounds apply to peak-constrained inputs; they are explicit in the channel's scattering function, are useful for a large range of bandwidth, and allow one to coarsely identify the capacity-optimal combination of bandwidth and number of transmit antennas. Furthermore, a closed-form expression is obtained for the first-order Taylor series expansion of capacity in the limit of infinite bandwidth. From this expression, it is concluded that in the wideband regime: (i) it is optimal to use only one transmit antenna when the channel is spatially uncorrelated; (ii) rank-one statistical beamforming is optimal if the channel is spatially correlated; and (iii) spatial correlation, be it at the transmitter, the receiver, or both, is beneficial.

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