Testing for Kronecker separability in measured channels

Abstract

Kronecker-separable MIMO channels, especially for larger MIMO configurations, are found more often in system simulations than in reality and some good physical explanations for the latter are available. This paper treats testing Kronecker-separability from a statistical perspective. The point raised is that for larger configurations the dimensions of the full correlation matrix become too large (equal to [NM×NM], with N number of receivers and M number of transmitters) for reliable estimation with the limited number of realisations normally available. Some examples are given, based on synthetic and measured data.

Modelling and experimental analysis of frequency dependent MIMO channels.

“…On the other hand, for beamforming techniques [68], [69], complex spatial correlations and eigenvalue decomposition of covariance matrices can be useful metrics for its performance evaluation at different central frequencies. On the other hand, for diversity techniques [70] and for MIMO system evaluation, the diversity measure [71] and the spatial correlation [8] are also practical metrics. All of these metrics obtained from measurements, and reflected in both a stochastic and a DGUS model, are used along of this PhD Dissertation giving many comparative results at different central frequencies.…”