Abstract—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 inputdependent interference, and thereby we quantify the impact of such dependencies on the capacity region of the Gaussian DDTWC. 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 nonadaptive mode.

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