Capacity of a class of Dirty-Tape Gaussian orthogonal relay channel with state information at the source and relay

A Gaussian channel with additive interference that is causally known to the transmitter is called a Dirty-Tape Channel (DTC). In this paper, we consider a state-dependent dirty-tape Gaussian relay channel with orthogonal channels from the source to the relay and from the source and relay to the destination. The orthogonal channels are corrupted by two independent additive interferences causally known to both the source and relay. The lower and upper bounds of the channel capacity are established. The lower bound is obtained by employing superposition coding at the source, Partial Decode-and-Forward (PDF) relaying at the relay, and a strategy similar to that used by Shannon at the source and relay. The explicit capacity is characterised when the power of the relay is sufficiently large. Finally, several numerical examples are provided to illustrate the impact of additive interferences and the role of the relay in information transmission and in removing the interference.