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This paper studies the interference channel with two transmitters and tworeceivers in the presence of a MIMO relay in the low transmit power regime. Acommunication scheme combining block Markov encoding, beamforming, and Willems'backward decoding is used. With this scheme, we get an interference channelwith channel gains dependent on the signal power. A power allocation for thisscheme is proposed, and the achievable rate region with this power allocationis given. We show that, at low transmit powers, with equal power constraints atthe relay and the transmitters, the interference channel with a MIMO relayachieves a sum rate that is linear in the power. This sum rate is determined bythe channel setup. We also show that in the presence of abundant power at therelay, the transmit strategy is significantly simplified, and the MAC from thetransmitters to the relay forms the bottle neck of the system from the sum ratepoint of view.

On the transmit strategy for the interference MIMO relay channel in the low power regime