Diversity Analysis of Coded Spatial Multiplexing MIMO AF Relaying Systems

In this paper, we analyze the diversity performance of source-relay joint precoding in spatial multiplexing (SM) multiple-input-multiple-output (MIMO) amplify-and-forward (AF) relaying systems with channel coding. First, we evaluate the achievable diversity order of singular-value-decomposition-based precoding schemes as a function of a code rate. Then, we show that a significant diversity improvement can be obtained by utilizing signal space diversity. Our analysis provides helpful insights on the tradeoff between the code rate and the diversity order in SM MIMO AF relaying systems. Simulation results demonstrate that our analytical expressions match well with the numerical results.