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This paper considers the multiple-input-single-output interference channel(MISO-IC) with interference decoding capability (IDC), so that the interferencesignal can be decoded and subtracted from the received signal. On the MISO-ICwith single user decoding, transmit beamforming vectors are classicallydesigned to reach a compromise between mitigating the generated interference(zero forcing of the interference) or maximizing the energy at the desireduser. The particularly intriguing problem arising in the multi-antenna IC withIDC is that transmitters may now have the incentive to amplify the interferencegenerated at the non-intended receivers, in the hope that Rxs have a betterchance of decoding the interference and removing it. This notion completelychanges the previous paradigm of balancing between maximizing the desiredenergy and reducing the generated interference, thus opening up a new dimensionfor the beamforming design strategy.  Our contributions proceed by proving that the optimal rank of the transmitprecoders, optimal in the sense of Pareto optimality and therefore sum rateoptimality, is rank one. Then, we investigate suitable transmit beamformingstrategies for different decoding structures and characterize the Paretoboundary. As an application of this characterization, we obtain a candidate setof the maximum sum rate point} which at least contains the set of sum rateoptimal beamforming vectors. We derive the Maximum-Ratio-Transmission (MRT)optimality conditions. Inspired by the MRT optimality conditions, we propose asimple algorithm that achieves maximum sum rate in certain scenarios andsuboptimal, in other scenarios comparing to the maximum sum rate.

Beamforming on the MISO interference channel with multi-user decoding capability