On the Ergodic Capacity of MIMO Nakagami-Fading Channels

This paper investigates the ergodic capacity limit of multiple-input multiple-output (MIMO) Nakagami-fading channels for arbitrary finite number of antennas. Through the use of majorization theory, we derive ergodic capacity bounds for this general class of channels. In the high signal-to-noise-ratio (SNR) regime, we show that a simple expression for the capacity upper bound is available, which reveals the impact of channel fading parameter on the system ergodic capacity. Besides, the asymptotic behavior of the ergodic capacity where the number of antenna(s) at one or both side(s) goes to infinity, is studied. By considering the low SNR regime, on the other hand, we give an approximation and a lower bound for the ergodic capacity. Monte Carlo simulation results are provided to verify the tightness of the proposed bounds.