Analytical space-time-frequency fading correlation for mobile vector channels

In this paper, we derive an analytical expression of the space-time-frequency fading correlation function for a multiple transmit and multiple receive antennas (also known as MIMO system) channel in a mobile cellular environment. The space-time-frequency fading correlation is expressed as the combination of the temporal, spatial, and spectral fading correlations. The temporal fading correlation is a function of the Doppler spread and time delay. The spatial fading correlation is a function of the angle spread and antenna spacing. The spectral fading correlation is a function of delay spread and frequency spacing. We present the analytical results for the space-time-frequency fading correlation function over various channel conditions such as angle spread, delay spread, and Doppler spread. Computer simulations are carried out to verify the analytical results.