Instantaneous forwarding strategies for relay channels with known interference

We consider a Gaussian relay channel, with the source and relay operating in different frequency bands. Hence, the received signals at the destination are orthogonal. We also assume that the source reuses the frequency band in which the relay is operating, to communicate with another destination. This results in a scenario that can be modeled in such a way that the relay-destination link suffers from an additive interference which is non-causally known at the source. We present different achievable rates for this model, focusing on instantaneous relaying, i.e., the relay output depends solely on the current received signal at the relay. The main conclusion of our work is that to achieve high rates, one should resort to joint design of precoding with non-linear relaying.