一种基于峰度的QAM信号盲均衡与载波相位恢复准则

A Criterion for Blind Equalization and Carrier-Phase Recovery of QAM Based on Kurtosis

该文针对方形正交幅度调制(QAM)信号的盲均衡与载波相位恢复问题,基于均衡器输出峰度最大化的思想,利用向量范数性质给出一种新的盲均衡与载波相位恢复方法.首先通过数学证明给出了代价函数的收敛性定理,证明了无噪声情况下,在代价函数的局部最优解处可实现理想均衡,且能够实现载波相位恢复.然后,给出了新算法的四种批数据处理实现方式.最后通过理论分析和仿真实验说明,本文方法相比最大化功率的方法对高斯噪声更加鲁棒.

Aiming at blind equalization and carrier-phase recovery of Quadrature Amplitude Modulation （QAM） signal,a new criterion based on kurtosis maximizing and the property of vector norms is proposed in this paper. Based on a formal proof un- der noiseless condition, we show that a perfect equalization solution and carrier-phase recovery can be obtained at every local opti- mum of the objective function. Then, four batch implementations of the new algorithm., are presented. Finally, through formal proof and computer simulations, we show that the new proposed criterion is more robust to Gaussian noise in comparison to existing meth- ods optimizing the energy.