Performance Analysis of Transmit Antenna Selection and Relay Selection in Two-Hop Multiple MIMO Relaying

This paper analyzes cooperative diversity wireless networks with the application of multiple-input multiple-output (MIMO) techniques, using amplify-and-forward (AF) MIMO relaying with transmit antenna selection (TAS)/maximal-ratio combing (MRC) and relay selection (RS). The source, destination, and relays are equipped with multiple antennas, denoted by $N{\rm S}$, $N{\rm D}$, and $N{\rm R}$, respectively. Specifically, the asymptotic performance is analyzed and the derived upper bound and lower bound on the diversity order leads to the conclusion that the diversity order of $N{\rm S}N{\rm D}+N{\rm R}\min{N{\rm S},N{\rm D}}$ can be achieved in the cooperative AF MIMO relaying scenario, which depends on the total number of relay antennas rather than the individual number of each relay's antennas. Numerical results that confirm our analysis are also presented in the paper.