We establish a lower bound on the noncoherent capacity pre-log of a temporally correlated Rayleigh block-fading single-input multiple-output (SIMO) channel. Surprisingly, when the covariance matrix of the channel satisfies a certain technical condition related to the cardinality of its smallest set of linearly dependent rows, this lower bound reveals that the capacity pre-log in the SIMO case is larger than that in the single-input single-output (SISO) case.
@article{arxiv.1004.3755,
title = {The SIMO Pre-Log Can Be Larger Than the SISO Pre-Log},
author = {Veniamin I. Morgenshtern and Giuseppe Durisi and Helmut Bölcskei},
journal= {arXiv preprint arXiv:1004.3755},
year = {2010}
}