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.
['Veniamin I. Morgenshtern', 'Giuseppe Durisi', 'Helmut Bölcskei']
The SIMO pre-log can be larger than the SISO pre-log