Abstract

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.

Highlights

  • State-dependent interference channels (ICs) are of great interest in wireless communications, in which receivers are interfered by other transmitters’ signals and by independent and identically distributed (i.i.d.) state sequences

  • We investigate the state-dependent IC and Z-IC with the two receivers being corrupted respectively by two correlated states and with both transmitters knowing both states in order for them to cooperate

  • We studied the state-dependent Gaussian IC and Z-IC with receivers being corrupted by two correlated states which are noncausally known at transmitters

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Summary

Introduction

State-dependent interference channels (ICs) are of great interest in wireless communications, in which receivers are interfered by other transmitters’ signals and by independent and identically distributed (i.i.d.) state sequences. The state can capture interference signals that are informed to transmitters, and are often assumed to be noncausally known by these transmitters in the model Such interference cognition can occur in practical wireless networks due to node coordination or backhaul networks. For the strong interference regime, we characterize the sum capacity boundary partially under certain channel parameters based on joint design of rate splitting, successive cancellation, as well as dirty paper coding. For the weak interference regime, we observe that the sum capacity can be achieved by the two transmitters independently employing dirty paper coding and receiver 1 treating interference as noise as shown in [6] for the same but differently scaled state at the two receivers. The sum capacity is not affected by the correlation between states

Channel Model
State-Dependent IC
State-Dependent Z-IC
Strong Interference Regime
State-Dependent Regular IC
Weak Interference Regime
Conclusion
Codebook Generation:
Encoding:
Decoding:
C Proof of Proposition 3
Full Text
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