At present, in robot technology, remote control of robot is realized by wireless communication technology, and data anti-interference in wireless channel becomes a very important part. Any wireless communication system has an inherent multi-path propagation problem, which leads to the expansion of generated symbols on a time scale, resulting in symbol overlap and Inter-symbol Interference (ISI). ISI in the signal must be removed and the signal restores to its original state at the time of transmission or becomes as close to it as possible. Blind equalization is a popular equalization method for recovering transmitted symbols of superimposed noise without any pilot signal. In this work, we propose a concurrent modified constant modulus algorithm (MCMA) and the decision-directed scheme (DDS) with the Barzilai-Borwein (BB) method for the purpose of blind equalization of wireless communications systems (WCS). The BB method, which is two-step gradient method, has been widely employed to solve multidimensional unconstrained optimization problems. Considering the similarity of equalization process and optimization process, the proposed algorithm combines existing blind equalization algorithm and Barzilai-Borwein method, and concurrently operates a MCMA equalizer and a DD equalizer. After that, it modifies the DD equalizer’s step size (SS) by the BB method. Theoretical investigation was involved and it demonstrated rapid convergence and improved equalization performance of the proposed algorithm compared with the original one. Additionally, the simulation results were consistent with the proposed technique.

中文翻译：

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Barzilai-Borwein方法的并行修正恒模算法和决策指导方案

当前，在机器人技术中，通过无线通信技术来实现对机器人的远程控制，无线信道中的数据抗干扰成为非常重要的部分。任何无线通信系统都具有固有的多径传播问题，这会导致生成的符号在时间范围内扩展，从而导致符号重叠和符号间干扰（ISI）。信号中的ISI必须去除，并且信号在传输时恢复到其原始状态或变得尽可能接近。盲均衡是一种流行的均衡方法，用于在没有任何导频信号的情况下恢复叠加噪声的发射符号。在这项工作中，为了无线通信系统（WCS）的盲目均衡，我们提出了一种并行修正的恒定模量算法（MCMA）和采用Barzilai-Borwein（BB）方法的决策导向方案（DDS）。BB方法是两步梯度法，已广泛用于解决多维无约束优化问题。考虑到均衡过程和优化过程的相似性，该算法结合了现有的盲均衡算法和Barzilai-Borwein方法，并同时操作MCMA均衡器和DD均衡器。此后，它通过BB方法修改DD均衡器的步长（SS）。进行了理论研究，证明了与原始算法相比，该算法具有快速收敛性和改进的均衡性能。