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Robust transceiver design against unresolvable system uncertainties is ofcrucial importance for reliable communication. For instance, full-duplexcommunication suffers from such uncertainties when canceling theself-interference, since the residual self-interference (RSI) remainsuncanceled due to imperfect channel knowledge. We consider a MIMO multi-hopsystem, where the source, the relay and the destination are equipped withmultiple antennas. We allow multi-stream beamforming granted by MIMO technique,without restricting the transmissions to single streaming. The relay canoperate in either half-duplex or full-duplex mode, and it changes the modedepending on the RSI strength. Furthermore, the relay is assumed to perform adecode-and-forward (DF) strategy. We investigate a robust transceiver designproblem, which maximizes the throughput rate of the worst-case RSI under RSIchannel uncertainty bound constraint. The problem turns out to be a non-convexoptimization problem. We propose an efficient algorithm to obtain a localoptimal solution iteratively. Eventually, we obtain insights on the optimalantenna allocation at the relay input-frontend and output-frontend, for relayreception and transmission, respectively. Interestingly, with less number ofantennas at the source than that at the destination, more number of antennasshould be used at the relay input-frontend than the relay output-frontend.

Robust Transceiver Design for MIMO Decode-and-Forward Full-Duplex Relay