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In this paper, we investigate the construction of a transmit signal for abase station with a massive number of antenna arrays under the cost-effective1-bit digital-to-analog converters. Due to the coarse nonlinear property,conventional precoding methods could not yield an attractive performance with asevere error-floor problem. Moreover, finding an optimal transmit signal iscomputationally implausible because of its combinatorial nature. Thus, it isstill an open problem to construct a 1-bit transmit signal efficiently. As anextension of our earlier work, we propose an efficient method to construct an1-bit transmit-signal under quadrature-amplitude-modulation constellations.Toward this, we first derive the so-called feasibility condition which ensuresthat every user's noiseless observation belongs to a desired decision region,and then transform it as linear constraints. Taking into account the robustnessto an additive noise, the proposed construction method is formulated as awell-defined mixed-integer-linear-programming problem. Based on this, wedevelop a low-complexity algorithm to solve it (equivalently, to generate a1-bit transmit signal). Via simulations, we verify the superiority of theproposed method in terms of a computational complexity and detectionperformance.

Construction of 1-Bit Transmit Signal Vectors for Downlink MU-MISO Systems: QAM constellations