Capacity Bounds for Rayleigh/Lognormal MIMO Channels With Double-Sided Correlation

In this letter, both analytic upper bound and lower bound of ergodic capacity are presented for distributed multiple-input multiple-output (D-MIMO) systems operating on Rayleigh/Lognormal fading channels. In the analysis, it is assumed that receive correlation and transmit correlation exist simultaneously, and the numbers of receive and transmit antennas both are arbitrary. The determinant in the expression of ergodic capacity is expanded as a linear sum of determinants of quadratic forms. Then the moments of the determinants are determined. Thereby upper and lower bounds on the ergodic capacity are obtained. The bounds remain tight across the entire Signal-to-Noise ratio (SNR) regime. The validity of above conclusion is verified by computer simulation.