Optimum Transceiver Designs in Two-Hop Amplify-and-Forward MIMO Relay Systems With SIC Receivers


We tend to take into account joint source/relay precoding in three-node two-hop amplify-and-forward (AF) multiple-input–multiple-output (MIMO) relay systems. In our systems, linear precoders are used at the supply and also the relay, and therefore the QR successive interference cancelation (SIC) receiver is employed at the destination. Our design criterion is to minimize the block error rate (BLER) of the receiver. Since the BLER may be a complicated operate of the source and relay precoders, and the ability constraints are coupled, the optimization problem is troublesome to solve. To overcome the issue, we tend to 1st apply the primal decomposition approach, transforming the first optimization to a subproblem and a master drawback. Within the subproblem, the optimum source precoder will be obtained with the geometric mean decomposition (GMD). In the master problem, however, the optimum relay precoder can't be straightforwardly obtained. We theoretically prove that the optimum relay precoder exhibits a matrix diagonalization property. Using this property, we will then rework the master problem into a scalar-variable concave optimization problem. A closed-form resolution will be derived by the Karuch–Kuhn–Tucker (KKT) conditions. Finally, we extend our method to the 2-hop AF MIMO relay system with the minimum mean square error (MMSE) SIC receiver. Assuming a unitary supply precoder, we tend to obtain the optimum source and relay precoders in closed form. Simulations show that the proposed transceivers will significantly improve the system performance.

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