Optimal MIMO multicast transceiver design for simultaneous information and power transfer.

We consider transceiver design for a MIMO multicast channel for simultaneous wireless information and power transfer. We assume that common information is intended for a subset of users, called information decoders (IDs), and the other users, called energy harvesters (EHs), harvest energy from the received signals. Assuming linear receivers at the IDs, we jointly design the precoder at the source and the receivers at the IDs according to two criteria. In the first criterion, we minimize the worst case mean square error (MSE) under source transmit power and harvested energy constraints. In the second criterion, we maximize the total harvested energy at the EHs under source transmit power and worst case MSE constraints. We formulate both problems as semidefinite programming (SDP) problems that we optimally solve using interior point algorithms. Simulation results show the importance of designing the transceivers to achieve a desired tradeoff among the source transmit power, MSEs at the IDs, and harvested energy at the EHs