  A method for reconstructing multiple-input multiple-output (MIMO) channel
correlation matrices from lower dimensional channel measurements is presented.
Exploiting the symmetry of correlation matrix structure enables reproducing
higher dimensional MIMO channel matrices from available lower order
measurements. This leads to practically important applications allowing
prediction of higher dimensional MIMO system capacity. In particular, we study
Kronecker-type MIMO channels suitable for reconstructing full channel matrices
from partial information about transmit-receive fading in spatial and
polarimetric domains and analyze validity conditions for such models. One of
the important channel conditions is Doppler frequency related to
non-stationarity in the environment. We present simulations of cluster-type
scattering model using 2x2 MIMO channel correlation matrices to predict
performance of 2x4 MIMO system including recovery of angular power spectrum. An
example of dual circular polarized 2x4 MIMO land mobile satellite measurements
in 2.5 GHz frequency band illustrates applicability of the method to
reconstruct spatial and polarimetric channel correlation matrices for
estimating ergodic channel capacity from single-antenna or uni-polarized
measurements.
