The SIMO Pre-Log Can Be Larger Than the SISO Pre-Log
Veniamin I. Morgenshtern, Giuseppe Durisi, and Helmut B\"olcskei

TL;DR
This paper demonstrates that under certain conditions, the capacity pre-log of a noncoherent SIMO channel can exceed that of a SISO channel, challenging previous assumptions about capacity limits.
Contribution
It establishes a lower bound on the noncoherent capacity pre-log for SIMO channels and reveals conditions where SIMO pre-log surpasses SISO pre-log.
Findings
SIMO pre-log can be larger than SISO pre-log under certain conditions
A lower bound on the noncoherent capacity pre-log is derived
The capacity advantage depends on the channel covariance structure
Abstract
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.
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Taxonomy
TopicsAdvanced MIMO Systems Optimization · Advanced Wireless Communication Techniques · Cooperative Communication and Network Coding
