Xie, Huiqiang, Xu, Weiyang, Xiang, Wei, Shao, Ke, and Xu, Shengbo (2019) Non-coherent massive SIMO systems in ISI channels: constellation design and performance analysis. IEEE Systems Journal, 13 (3). pp. 2252-2263.

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Abstract

A massive single-input multiple-output system with a single transmit antenna and a large number of receive antennas in intersymbol interference channels is considered. Contrast to existing energy detection (ED) based non-coherent receiver where conventional pulse amplitude modulation (PAM) is employed, we propose a constellation design, which minimizes the symbol error rate (SER) with the knowledge of channel statistics. To make a comparison, we derive the SERs of the ED-based receiver with both the proposed constellation and PAM, namely P-e_opt and P-e_pam. Specifically, asymptotic behaviors of the SER in regimes of a large number of receive antennas and high signal-to-noise ratio are investigated. Analytical results demonstrate that the logarithms of both and P-e_opt and P(e_pam )decrease approximately linearly with the number of receive antennas, whereas P-e_opt degrades faster. It is also shown that the proposed design is of less cost, because compared with PAM, less antennas are required to achieve the same error rate.

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