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State-Dependent Interference Channel with Correlated States
This paper investigates the Gaussian state-dependent interference channel
(IC) and Z-IC, in which two receivers are corrupted respectively by two
different but correlated states that are noncausally known to two transmitters
but are unknown to the receivers. Three interference regimes are studied, and
the capacity region boundary or the sum capacity boundary is characterized
either fully or partially under various channel pa- rameters. In particular,
the impact of the correlation between states on cancellation of state and
interference as well as achievability of capacity is explored with numerical
illustrations. For the very strong interference regime, the capacity region is
achieved by the scheme where the two transmitters implement a cooperative dirty
paper coding. For the strong but not very strong interference regime, the
sum-rate capacity is char- acterized by rate splitting, layered dirty paper
coding and successive cancellation. For the weak interference regime, the
sum-rate capacity is achieved via dirty paper coding individually at two
receivers as well as treating interference as noise.Comment: This paper has been submitted to Transaction on Information Theory on
Oct 24, 201