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Meeting the challenges of 5G demands better exploitation of the availablespectrum by allowing multiple parties to share resources. For instance, asecondary unlicensed system can share resources with the cellular uplink of aprimary licensed system for an improved spectral efficiency. This inducesinterference which has to be taken into account when designing such a system. Asimple yet robust strategy is treating interference as noise (TIN), which iswidely adapted in practice. It is thus important to study the capabilities andlimitations of TIN in such scenarios. In this paper, we study this scenariomodelled as Multiple Access Channel (MAC) interfered by a Point-to-Point (P2P)channel. Here, we focus on rate maximization and power minimization problemsseparately. We use improper Gaussian signaling (instead of proper) at thetransmitters to increase the design flexibility, which offers the freedom ofoptimizing the transmit signal pseudo-variance in addition to its variance.Furthermore, we allow correlation among the transmitted signals over orthogonalresource basis (i.e., time or frequency) for the purpose of optimal signalingdesign over the extended channel. We formulate the rate maximization problem asa semidefinite program, and use semidefinite relaxation (SDR) to obtain anear-optimal solution. Numerical optimizations show that, by improper Gaussiansignaling the achievable rates can be improved upto three times depending onthe strength of the interfering links. Furthermore, we observe significantbenefits in power consumption by improper Gaussian signaling with symbolextensions compared to the traditional proper Gaussian signaling.Interestingly, by minimizing sum power given the solution of the ratemaximization problem improves the energy efficiency significantly.

Improper signaling and symbol extensions: How far can we go with Gaussian P2P codebooks in the interfering MAC with TIN?