Two-way writing on dirty paper in the presence of noise-dependent interference

In this paper, we characterize the capacity regions of the Gaussian doubly dirty two-way channel (DD-TWC) in the presence of noise-dependent interference as well as input-dependent interference, and thereby we quantify the impact of such dependencies on the capacity region of the Gaussian DD-TWC. We also show that for the Gaussian DD-TWC with noise/input-dependent interference, adaptation (the use of formerly received signals in encoding process) is useless from a capacity point of view. The above-mentioned claims are proved by obtaining a capacity outer bound in the adaptive mode which is coincided with capacity inner bound derived in the non-adaptive mode.