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

WANG Da-lei; YANG Bin; WU Ying; WANG Xiu-xiu

doi:10.3969/j.issn.0372-2112.2014.07.025

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

更新时间：2025-07-16

- A Criterion for Blind Equalization and Carrier-Phase Recovery of QAM Based on Kurtosis
- Acta Electronica Sinica Vol. 42, Issue 7, Pages: 1403-1409(2014)
- 作者机构：
  
  1. 信息工程大学信息系统工程学院,河南,郑州,450002
  2. 西安电子科技大学综合业务网理论及关键技术国家重点实验室,陕西,西安,710071
  3. 信息工程大学信息系统工程学院,河南,郑州,450002
  4. 西安电子科技大学综合业务网理论及关键技术国家重点实验室,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2014.07.025
  CLC： TN911.5
- Published：2014
- 稿件说明：
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WANG Da-lei, YANG Bin, WU Ying, et al. A Criterion for Blind Equalization and Carrier-Phase Recovery of QAM Based on Kurtosis[J]. Acta Electronica Sinica, 2014, 42(7): 1403-1409.
DOI：

WANG Da-lei, YANG Bin, WU Ying, et al. A Criterion for Blind Equalization and Carrier-Phase Recovery of QAM Based on Kurtosis[J]. Acta Electronica Sinica, 2014, 42(7): 1403-1409. DOI： 10.3969/j.issn.0372-2112.2014.07.025.

摘要

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.

Abstract

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 under noiseless condition

we show that a perfect equalization solution and carrier-phase recovery can be obtained at every local optimum 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 methods optimizing the energy.

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