Journals: On the Superiority of Improper Gaussian Signaling in Wireless Interference MIMO Scenarios
Lagén Morancho, A. Agustin de Dios and J. Vidal Manzano


Recent results have elucidated the benefits of using improper Gaussian signaling as compared to conventional proper Gaussian signaling in terms of achievable rate for interference-limited scenarios. This paper exploits majorization theory tools to formally quantify the gains of improper Gaussian signaling along with widely linear transceivers in interfered MIMO systems. The MIMO point-to-point channel with interference (P2P-I) is analyzed, assuming that received interference can be either proper or improper, and we demonstrate that the use of the optimal improper signaling when received interference is improper strictly outperforms in terms of achievable rate and mean square error the transmission with the optimal proper signaling when interference is proper. Then, these results are extended to two practical situations. First, the MIMO Z-interference channel (Z-IC) is investigated, where a trade-off arises: with improper Gaussian signaling we could increase the achievable rate of the interfered user while gracefully degrading the rate of the non-interfered user. Second, these concepts are applied to a two-tier heterogeneous cellular network (HCN) where macrocells and smallcells coexist and multiple MIMO Z-IC appear.

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