Li, A; Masouros, C; Liu, F; Swindlehurst, AL; (2018) Massive MIMO 1-Bit DAC Transmission: A Low-Complexity Symbol Scaling Approach. IEEE Transactions on Wireless Communications , 17 (11) pp. 7559-7575. 10.1109/TWC.2018.2868369.

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Abstract

CCBY We study multi-user massive multiple-input singleoutput (MISO) systems and focus on downlink transmission for PSK modulation, where the base station (BS) employs a large antenna array with low-cost 1-bit digital-to-analog converters (DACs). The direct combination of existing beamforming schemes with 1-bit DACs is shown to lead to an error floor at mediumto- high SNR regime, due to the coarse quantization of the DACs with limited precision. In this paper, based on the constructive interference we consider both a quantized linear beamforming scheme where we analytically obtain the optimal beamforming matrix, and a non-linear mapping scheme where we directly design the transmit signal vector. Due to the 1-bit quantization, the formulated optimization for the non-linear mapping scheme is shown to be non-convex. The non-convex constraints of the 1-bit DACs are firstly relaxed into convex, followed by an element-wise normalization to satisfy the 1-bit DAC transmission. We further propose a low-complexity symbol scaling scheme that consists of three stages, in which the quantized transmit signal on each antenna element is selected sequentially. Numerical results show that the proposed symbol scaling scheme achieves a comparable performance to the optimization-based non-linear mapping approach, while the corresponding performance-complexity tradeoff is more favorable for the proposed symbol scaling method.

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