l<sub>0</sub>-Norm Constraint Fractionally Spaced Dual-Mode Blind Equalization Algorithm for Sparse Multipath Channel

MA Si-yang; WANG Bin; PENG Hua

doi:10.3969/j.issn.0372-2112.2017.09.035

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l₀-Norm Constraint Fractionally Spaced Dual-Mode Blind Equalization Algorithm for Sparse Multipath Channel

更新时间：2025-07-16

- l₀-Norm Constraint Fractionally Spaced Dual-Mode Blind Equalization Algorithm for Sparse Multipath Channel
- Acta Electronica Sinica Vol. 45, Issue 9, Pages: 2302-2307(2017)
- 作者机构：
  
  解放军信息工程大学信息系统工程学院,河南,郑州,450001
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61401511)
- DOI：10.3969/j.issn.0372-2112.2017.09.035
  CLC： TP302
- Published Online：25 September 2017，
  
  Published：2017
- 稿件说明：
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MA Si-yang, WANG Bin, PENG Hua. l₀-Norm Constraint Fractionally Spaced Dual-Mode Blind Equalization Algorithm for Sparse Multipath Channel[J]. Acta Electronica Sinica, 2017, 45(9): 2302-2307.
DOI：

MA Si-yang, WANG Bin, PENG Hua. l₀-Norm Constraint Fractionally Spaced Dual-Mode Blind Equalization Algorithm for Sparse Multipath Channel[J]. Acta Electronica Sinica, 2017, 45(9): 2302-2307. DOI： 10.3969/j.issn.0372-2112.2017.09.035.

摘要

针对深衰落稀疏多径信道下多进制相移键控（Multiple Phase Shift Keying，MPSK）信号的盲均衡问题，提出了一种

-范数约束的分数间隔稀疏自适应双模式盲均衡算法.该算法借鉴传统的分数间隔双模式盲均衡算法思想，结合稀疏自适应滤波理论，首先利用

-范数对均衡器抽头系数进行稀疏性约束，构造出一种

-范数约束的分数间隔双模式最小均方误差代价函数，然后依据梯度下降法推导出盲均衡器抽头系数更新公式，并对迭代步长进行归一化和比例系数化.理论分析和仿真实验表明，与基于门限稀疏化的盲均衡算法、基于分数阶范数的盲均衡算法及分数间隔双模式盲均衡算法相比，本文所提算法在保证较快收敛速度的前提下，能有效降低剩余符号间干扰.本文设计的盲均衡算法为水声通信系统中接收方恢复出发送信号，提供了一种快速有效的方法.

Abstract

A blind equalization approach called

-norm constraint fractionally spaced sparse adaptive dual-mode algorithm is proposed for multiple phase shift keying (MPSK) signal in deep fading sparse multipath channels.Based on the traditional fractionally spaced dual-mode blind equalization algorithm

and motivated by the sparse adaptive filter theory

a fractionally spaced dual-mode least mean square error cost function with the

-norm penalty on the equalizer tap coefficients is constructed.Then

the u

pdate formula of the tap coefficients is derived according to the gradient descent method.Moreover

the iteration step is updated adaptively by drawing upon the normalized proportionate factor.Theoretical analysis and simulation results show that compared with the sparse blind equalization algorithm based on the threshold

the blind equalization algorithm based on the fractional order norm and the fractionally spaced dual-mode blind equalization algorithm

the proposed algorithm has advantages in increasing the convergence rate and decreasing the residual inter-symbol interference.The presented blind equalization algorithm provides a fast and effective method for receivers to recover transmitted signals in underwater acoustic communication systems.

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Related Institution

Institute of Information Engineering, PLA Information Engineering University

School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications

School of Integrated Circuits, Chongqing University of Posts and Telecommunications

School of Electronic Science and Engineering, Chongqing University of Posts and Telecommunications

中国人民解放军96627部队北京

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l0-Norm Constraint Fractionally Spaced Dual-Mode Blind Equalization Algorithm for Sparse Multipath Channel

DOI：10.3969/j.issn.0372-2112.2017.09.035

摘要

Abstract

关键词

Keywords

references

l₀-Norm Constraint Fractionally Spaced Dual-Mode Blind Equalization Algorithm for Sparse Multipath Channel