一种新的基于复指数函数映射的盲均衡算法

doi:10.3969/j.issn.0372-2112.2016.05.001

电子学报 ›› 2016, Vol. 44 ›› Issue (5): 1009-1016.DOI: 10.3969/j.issn.0372-2112.2016.05.001

• 学术论文 • 下一篇

一种新的基于复指数函数映射的盲均衡算法

饶伟^1,2, 高惠娟², 段美怡², 张建秋¹

1. 复旦大学信息科学与工程学院, 上海 200433;
2. 南昌工程学院信息工程学院, 江西南昌 330099

收稿日期:2014-11-05 修回日期:2015-03-04 出版日期:2016-05-25
- 作者简介:
- 饶伟男,1982年出生,南昌工程学院信息工程学院副教授,复旦大学信息科学与工程学院在读博士研究生,主要从事通信信号处理及应用等方面的研究工作.E-mail:wrao14@fudan.edu.cn;高惠娟 女,1977年出生,硕士研究生,南昌工程学院信息工程学院讲师,主要从事通信信号处理、图像处理等方面的研究工作.
- 基金资助:
- 国家自然科学基金 (No.61401188,No.61171127); 江西省科技支撑计划项目 (No.2013ZBBE50016); 国家 (江西省)大学生创新创业训练计划项目 (No.201311319029)

New Blind Equalization Algorithm Based on a Mapping from a Complex Exponential Function

RAO Wei^1,2, GAO Hui-juan², DUAN Mei-yi², ZHANG Jian-qiu¹

1. School of Information Science and Technology, Fudan University, Shanghai 200433, China;
2. School of Information Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China

Received:2014-11-05 Revised:2015-03-04 Online:2016-05-25 Published:2016-05-25

摘要/Abstract

摘要：

定义了一个新的复指数函数将典型的16-QAM非常模信号的实部和虚部分别映射至单位圆上.然后利用映射后星座坐标的实部和虚部之间的关系建立代价函数,从而提出了一种新的盲均衡算法.新算法克服了著名的恒模盲均衡算法及其典型的改进算法在对非常模信号均衡时稳态误差大的缺点.通过理论证明验证了新算法在无噪声环境下稳态均方误差为0;通过仿真实验验证了新算法在有噪环境下比恒模及其改进算法具有更低的稳态均方误差.

关键词: 盲均衡, 恒模算法, 复指数代价函数

Abstract:

A new complex exponential function is defined to map the real and imaginary parts of a classic 16-QAM nonconstant modulus signal to the unit circle, respectively.With the relationship between the real and imaginary parts of the new constellation after mapping, a new cost function is built and then a new blind equalization algorithm is proposed.The proposed algorithm can converge the steady-state mean square error (MSE) to zero under a noiseless environment, which is different from the famous constant modulus algorithm (CMA) and some CMA-based improved algorithms.In addition, we provide the theoretical analysis of the proposed algorithm.Simulation results demonstrate that the proposed algorithm has the lower steady-state MSE than CMA and some CMA-based improved algorithms.

Key words: blind equalization, constant modulus algorithm, complex exponential cost function

中图分类号:

TN911.5

饶伟, 高惠娟, 段美怡, 张建秋. 一种新的基于复指数函数映射的盲均衡算法[J]. 电子学报, 2016, 44(5): 1009-1016.

RAO Wei, GAO Hui-juan, DUAN Mei-yi, ZHANG Jian-qiu. New Blind Equalization Algorithm Based on a Mapping from a Complex Exponential Function[J]. Acta Electronica Sinica, 2016, 44(5): 1009-1016.

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一种新的基于复指数函数映射的盲均衡算法

New Blind Equalization Algorithm Based on a Mapping from a Complex Exponential Function

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