We propose an optimal low-resolution precoding technique that minimizes the symbol error probability of the users. Unlike existing approaches that rely on QPSK modulation, for the derivation of the minimum symbol error probability objective function the current approach allows for any PSK modulation order. Moreover, the proposed method solves the corresponding discrete optimization problem optimally via a sophisticated branch-and-bound method. Moreover, we propose different approaches based on the greedy search method to compute practical solutions. Numerical simulations confirm the superiority of the proposed minimum symbol error probability criteria in terms of symbol error rate when compared with the established MMDDT and MMSE approaches.
翻译:我们建议了一种最佳的低分辨率预编码技术,最大限度地减少用户的符号误差概率。与依赖 QPSK 调制的现有方法不同,为了得出最小符号误差概率目标,目前的方法允许任何PSK 调制顺序。此外,拟议方法通过复杂的分支和约束方法最妥善地解决相应的离散优化问题。此外,我们根据贪婪的搜索方法提出了不同的方法,以计算实际解决方案。数字模拟证实了与既定MMDDT和MMSE方法相比,拟议最低符号误差概率标准在符号误差率方面的优劣性。