Capacity analysis for MIMO two-hop two-relay amplify-and-forward relaying systems

Abstract

This paper presents an ergodic capacity analysis of an amplify-and-forward (AF) multiple-input, multipleoutput (MIMO) two-hop, two relay system. We first derive an expression for the probability density function of an arbitrary eigenvalue of the system. Then, using this result, a closed form expression for the ergodic capacity of the system is derived. We present simulation results to validate our analysis. We also show that the results for a single relay system can be obtained as a special case.