Submitted to IEEE Trans. on Vehicular Technology, Jan., 2008.
In this paper, we derive the characteristic function of the achievable rate
and the ergodic rate of spatial multiplexing multiple-input multiple-output (MIMO)
systems for a composite channel environment with log-normal shadowing and
Rayleigh fading. Assuming that the channel is unknown at the transmitter but
known at the receiver, we consider zero-forcing receivers and independent
substream detection. The outage rate performance for the composite channel is
evaulated by deriving the complementary cumulative distribution function (CCDF)
from the characteristic function. Gauss-Hermite quadrature integration is used
to derive the characteristic function and the ergodic rate in a concise
analytical form. The proposed analytical approach allows investigation of the
effects of the shadowing standard deviation and the transmit correlation.
Numerical and simulation results confirm that under various composite channel
scenarios, the analytical results match well with the empirical
results.
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