计算机应用

• 人工智能与仿真 •    下一篇

基于水声通信的新型变步长LMS算法

郑奕丰,郝学元,颜晓红   

  1. 南京邮电大学
  • 收稿日期:2017-02-06 修回日期:2017-03-17 发布日期:2017-03-17 出版日期:2017-05-13
  • 通讯作者: 郑奕丰

new variable step LMS algorithm based on underwater acoustic communication

  • Received:2017-02-06 Revised:2017-03-17 Online:2017-03-17 Published:2017-05-13

摘要:

摘 要: 在水声通信中,信道的多径效应会造成严重的码间串扰(inter-symbol interference ,ISI),针对现有的均衡算法处理码间串扰问题时,收敛速度慢,稳态误差大,算法复杂不易于硬件移植等问题,结合判决反馈均衡器结构前向均衡(feed-forward equalizer,FFE)与判决均衡结构(decision feed-back equalizer , DFE),提出了一种基于反余弦步长函数和三参数调整因子的变步长LMS算法。首先对三参数因子α,β,r进行算法仿真,优化算法性能,与固定步长LMS算法,基于修正反正切的变步长LMS算法以及基于双曲正割函数的变步长LMS算法的收敛性能和稳态误差进行仿真比较,结果表明提出的算法的收敛速度较固定步长LMS提高了57.9%,稳态误差下降5dB,较双曲正割LMS算法和修正反正切LMS算法提高了26.3%和15.8%并且算法的稳态误差下降了1~2dB。最后,将算法移植于信号处理模块,进行水下实验,实验表明,水声信道造成的码间串扰经过均衡器后,信号得以恢复,能够实际克服多径效应造成的水声信道码间串扰问题。

Abstract:

Abstract: In underwater acoustic communication, the channel of the multipath effect can cause severe inter-symbol interference. In view of the existing equalization algorithm dealing with inter-symbol interference, these algorithms have some problems such as slow convergence speed, huge steady-state error, complex algorithm and not easy to transplant hardware, presented a new variable step LMS algorithm with three adjustment parameter combined with the feed-forward equalizer and decision feed-back equalizer (FFE-DFE)structure. Firstly we made algorithm simulation of three adjustment parameter alpha, beta, gamma,then we compared our algorithm with traditional LMS algorithm ,modified arctangent based variable step LMS(MA-VSLMS) and hyperbolic secant function based variable step size LMS algorithm(HS-VSLMS)in the convergence and steady-state error. The simulation result confirms that our algorithm has 57.9% faster convergence speed and 2dB lower steady-state error than traditional LMS algorithm. Our algorithm has 26.3% faster convergence speed than HS-VSLMS, 15.8% faster than MA-VSLMS and 1~2dB lower steady-state error. Finally we transplanted our algorithm to the signal processing module, and tested our algorithm in underwater experiment, the experimental results show that the signal after the equalizer recovers very well. The equalizer effectively overcome the inter-symbol interference caused by multipath effect in the actual scene.

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