Design of an Energy-Efficient Multidimensional Secure Constellation for 5G Communications

Energy efficiency and security are two important metrics for the fifth generation (5G) wireless networks. Existing constellation designs often consider spectral efficiency but neglect energy efficiency and security. We define the concept of energy efficiency of constellations and propose a multidimensional secure constellation (MSC) design to improve the energy efficiency, security, and bit error rate (BER) performance. A general closed-form algorithm to construct the n-dimensional constellation mapping codebook is proposed. A multi-dimensional rotation method is proposed to enhance the security and prevent eavesdroppers from recovering symbols. A closed-form expressions for the upper bound on the BER for the proposed MSC is obtained. Simulation results show that when the dimension reaches 255, MSC can achieve a BER performance of the order of 10 -4 at SNR = -8dB without binary channel coding. For the same throughput, the proposed method is shown to outperform polar coding (1-2 dB SNR gain at BER=10 -4 ).