State-dependent Z-interference channel with correlated states

This paper investigates the Gaussian state-dependent Z-interference channel (Z-IC), in which two receivers are corrupted respectively by two correlated states that are noncausally known to transmitters and unknown to receivers. Three interference regimes are studied, and the capacity region or sum capacity boundary is characterized either fully or partially under various channel parameters. The impact of correlation between the states on state and interference cancellation as well as the achievability of the capacity is demonstrated via numerical analysis.