Abstract
In this paper, we apply General Order Statistics (GOS) theorem to multi-antenna (MIMO) dual-hop amplify-forward fixed-gain cooperative relay network. General order link, unlike the best one, is selected for the transmission/receiving at each hop. The closed-form expressions of SNR (Signal-to-Noise-Ratio) statistics such as CDF (Cumulative Distribution Function), PDF (Probability Density Function), MGF (Moment Generating Function) and Generalized Moments are derived. The results are used to investigate two scenarios - presence of 1) the direct link, and 2) the multiple relays. The analysis is confirmed with computer simulation, and facilitates to quantify the performance loss when lower-order antenna is selected at any node.