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arXiv · 1809.02946

Non-coherent Massive SIMO Systems in ISI Channels: Constellation Design and Performance Analysis

Huiqiang Xie·Weiyang Xu·Wei Xiang·Ke Shao·Shengbo Xu
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Abstract

A massive single-input multiple-output (SIMO) system with a single transmit antenna and a large number of receive antennas in intersymbol interference (ISI) 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 (SNR) are investigated. Analytical results demonstrate that the logarithms of both $P_{e\_opt}$ and $P_{e\_pam}$ decrease approximately linearly with the number of receive antennas, while $P_{e\_opt}$ 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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Huiqiang Xie, Weiyang Xu, Wei Xiang, Ke Shao, Shengbo Xu. 2018-09-09. Non-coherent Massive SIMO Systems in ISI Channels: Constellation Design and Performance Analysis. https://doi.org/10.1109/jsyst.2018.2870842

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