A Monte Carlo study on the diversity measure of a spherical volume

In this paper we investigate the diversity measure Ψ(R_h) of MIMO (Multiple-Input Multiple-Output) channels based on the eigenvalues of the full-correlation matrix of the channel matrix R_h. We apply this definition to antennas and channels based on the antenna scattering matrix and the spherical vector wave (svw) expansion of the electromagnetic fields. We derive bounds for this diversity measure in an isotropic propagation channel. We further analyze the diversity measure of a spherical volume occupied by decoupled λ/2-dipole antennas by means of Monte Carlo simulations assuming different polarizations, e.g., vertically or horizontally polarizations, 2 orthogonal polarizations and 3 orthogonal polarizations.