Abstract

Improper Gaussian signaling (IGS) has been shown to enlarge the rate region achievable by conventional proper Gaussian signaling (PGS) schemes in several interference-limited multiuser networks. In this work, we consider the 2-user broadcast channel (BC) when treating interference as noise TIN at every receiver. For this scenario, we derive a closed-form characterization of the rate region boundary with IGS. The Pareto-optimal points are achieved when at least one of the users employs maximally improper (rectilinear) signals. Differently from other interference-limited networks, our results show that IGS always outperforms PGS for the 2-user BC with TIN. Furthermore, IGS also enlarges the PGS rate region with time-sharing for this scenario.

Highlights

  • Improper Gaussian signaling (IGS) has recently been proposed as a low-complexity approach to handle interference in multiuser networks [1]

  • The capacity of the broadcast channel (BC) is achieved by proper Gaussian signaling (PGS) with superposition coding and successive interference cancellation [14, 15]

  • We observe that IGS enlarges the rate region for a subset of rate pairs for which both users employ maximally IGS, which in turn implies an enlargement of the whole rate region if IGS with TS is employed

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Summary

INTRODUCTION

Improper Gaussian signaling (IGS) has recently been proposed as a low-complexity approach to handle interference in multiuser networks [1]. Contrary to the conventional proper Gaussian signaling (PGS), in IGS the real and imaginary parts of the transmit signals are correlated and/or have unequal power [2]. Such a statistical property has been shown to pay off in interference-limited scenarios when treating interference as noise (TIN). Our results show that all Pareto-optimal points are achieved when at least one of the users employs maximally improper signals and, unlike other interference-limited scenarios, IGS always outperforms PGS with TIN for the 2-user BC. There are boundary points for which one of the users transmits real-valued signals while the other uses purely imaginary signals These boundary points strictly outperform PGS with time-sharing (TS).. These boundary points strictly outperform PGS with time-sharing (TS). we show that maximally improper (rectilinear) signaling is optimal for at least one user

SYSTEM MODEL
BOUNDARY OF THE RATE REGION
NUMERICAL RESULTS
CONCLUSION
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