Abstract:
The use of multi-antenna arrays in both transmission and reception has been
shown to dramatically increase the throughput of wireless communication
systems. As a result there has been considerable interest in characterizing
the ergodic average of the mutual information for realistic correlated
channels. Here, an approach is presented that provides analytic expressions
not only for the average, but also the higher cumulant moments of the
distribution of the mutual information for zero-mean Gaussian MIMO channels
with the most general multipath covariance matrices when the channel is
known at the receiver. These channels include multi-tap delay paths, as well
as general channels with covariance matrices that cannot be written as a
Kronecker product, such as dual-polarized antenna arrays with general
correlations at both transmitter and receiver ends. The mathematical methods
are formally valid for large antenna numbers, in which limit it is shown
that all higher cumulant moments of the distribution, other than the first
two scale to zero. Thus, it is confirmed that the distribution of the mutual
information tends to a Gaussian, which enables one to calculate the outage
capacity. These results are quite accurate even in the case of a few
antennas, which makes this approach applicable to realistic situations.
Status:
Submitted, Aug. 2005.
Files:
PDF v3.0 (.pdf) (248K).
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