One-Bit Precoding and Constellation Range Design for Massive MIMO with QAM Signaling
arXiv:1802.04206 · doi:10.1109/JSTSP.2018.2823267
Abstract
The use of low-resolution digital-to-analog converters (DACs) for transmit precoding provides crucial energy efficiency advantage for massive multiple-input multiple-output (MIMO) implementation. This paper formulates a quadrature amplitude modulation (QAM) constellation range and one-bit symbol-level precoding design problem for minimizing the average symbol error rate (SER) in downlink massive MIMO transmission. A tight upper-bound for SER with low-resolution DAC precoding is first derived. The derived expression suggests that the performance degradation of one-bit precoding can be interpreted as a decrease in the effective minimum distance of the QAM constellation. Using the obtained SER expression, we propose a QAM constellation range design for the single-user case. It is shown that in the massive MIMO limit, a reasonable choice for constellation range with one-bit precoding is that of the infinite-resolution precoding with per-symbol power constraint, but reduced by a factor of or about . The corresponding minimum distance reduction translates to about 2dB gap between the performance of one-bit precoding and infinite-resolution precoding. This paper further proposes a low-complexity heuristic algorithm for one-bit precoder design. Finally, the proposed QAM constellation range and precoder design are generalized to the multi-user downlink. We propose to scale the constellation range for infinite-resolution zero-forcing (ZF) precoding with per-symbol power constraint by the same factor of for one-bit precoding. The proposed one-bit precoding scheme is shown to be within 2dB of infinite-resolution ZF. In term of number of antennas, one-bit precoding requires about 50% more antennas to achieve the same performance as infinite-resolution precoding.
arXiv comment14 pages, 9 figures, to be published in IEEE Journal on Selected Topics on Signal Processing
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- Interference Exploitation via Symbol-Level Precoding: Overview, State-of-the-Art and Future Directions
- Construction of 1-Bit Transmit Signal Vectors for Downlink MU-MISO Systems: QAM constellations
- Low-Complexity Symbol-Level Precoding for MU-MISO Downlink Systems with QAM Signals
- 1-Bit MIMO for Terahertz Channels
- Minimum Symbol Error Probability Low-Resolution Precoding for MU-MIMO Systems With PSK Modulation
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