一种利用范数性质的无约束盲均衡准则

doi:10.3969/j.issn.1001-2400.2014.04.022

J4 ›› 2014, Vol. 41 ›› Issue (4): 123-129+143.doi: 10.3969/j.issn.1001-2400.2014.04.022

一种利用范数性质的无约束盲均衡准则

王大磊¹;杨宾¹;吴瑛¹;王秀秀²

(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)

收稿日期:2013-04-09 出版日期:2014-08-20 发布日期:2014-09-25
通讯作者: 王大磊
作者简介:王大磊(1984-)，男，信息工程大学博士研究生，E-mail：daleipla@163.com．
基金资助:
国家高技术研究发展计划资助项目(2009AA011504)

Unconstrained criterion for blind equalization using the property of the norm

WANG Dalei¹;YANG Bin¹;WU Ying¹;WANG Xiuxiu²

(1. Institute of Information System Engineering, Information Engineering Univ., Zhengzhou 450002, China;
2. State Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an 710071， China)

Received:2013-04-09 Online:2014-08-20 Published:2014-09-25
Contact: WANG Dalei

摘要/Abstract

摘要：

提出了一种新的无约束盲均衡准则．该准则基于两种向量范数之间差值的最小化，不需要对均衡器系数进行约束，可采用批数据处理和在线自适应迭代两种方式实现．通过对代价函数收敛性定理的推导，证明了在无噪声情况下，在代价函数的每个局部最优解处可实现理想均衡，且能够实现发送信号幅值的恢复．仿真结果验证了新算法在收敛性和稳态误差方面的良好性能．

关键词: 盲均衡, 局部收敛, 向量范数, 无约束准则

Abstract:

A novel unconstrained criterion for blind equalization is proposed. The algorithm is based on minimization of the difference between two norms, and does not need to impose any constraint on the equalizer coefficients, which can be realized by the batch processing method and online adaptive approach. Based on the convergence proof under the noiseless condition, we show that a perfect equalization solution is achieved at every local optimum of the function, and that the amplitude of the input signal can be recovered. The validity and good performance in terms of convergence and the steady-state error of the proposed algorithm are verified through computer simulations.

Key words: blind equalization, local convergence, vector norm, unconstrained criterion

中图分类号:

911.5

王大磊;杨宾;吴瑛;王秀秀. 一种利用范数性质的无约束盲均衡准则[J]. J4, 2014, 41(4): 123-129+143.

WANG Dalei;YANG Bin;WU Ying;WANG Xiuxiu. Unconstrained criterion for blind equalization using the property of the norm[J]. J4, 2014, 41(4): 123-129+143.

参考文献

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一种利用范数性质的无约束盲均衡准则

Unconstrained criterion for blind equalization using the property of the norm

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