  This paper investigates the system achievable rate and optimization for the
multiple-input multiple-output (MIMO)-orthogonal frequency division
multiplexing (OFDM) system with an energy harvesting (EH) relay. Firstly we
propose a time switchingbased relaying (TSR) protocol to enable the
simultaneous information processing and energy harvesting at the relay. Then,
we discuss its achievable rate performance theoretically and formulated an
optimization problem to maximize the system achievable rate. As the problem is
difficult to solve, we design an Augmented Lagrangian Penalty Function (ALPF)
method for it. Extensive simulation results are provided to demonstrate the
accuracy of the analytical results and the effectiveness of the ALPF method.
