Performance analysis of multi-antenna relay systems with statistical Channel State Information at the relay

Abstract

Assuming statistical Channel State Information (CSI) available at the relay, the performance of a dual-hop MIMO relay network is studied in this paper. The cumulative density function (cdf) of received SNR at destination is studied and closed-form expressions are derived for the asymptotic cases of fully-correlated and non-correlated scenarios; moreover, the statistical characteristics of the SNR is further studied and an approximate cdf of the SNR is derived for arbitrary correlation. Then, a simple power allocation algorithm is proposed which is called “proportional power allocation”. The algorithm is explained in detail for the case of two antennas and three antennas at the relay. The simulation show excellent agreement between the proposed algorithm and optimal solution that is obtained by exhaustive search.