State-Dependent Interference Channel with Correlated States

TL;DR

This paper analyzes the Gaussian state-dependent interference channel with correlated states, characterizing capacity regions across different interference regimes and demonstrating the impact of state correlation on capacity-achieving schemes.

Contribution

It provides new capacity characterizations for the state-dependent interference channel with correlated states under various interference regimes.

Findings

Capacity region achieved by cooperative dirty paper coding in very strong interference

Sum-rate capacity characterized by rate splitting and layered dirty paper coding in strong interference

Sum-rate capacity achieved by individual dirty paper coding and treating interference as noise in weak interference

Abstract

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.