基于Morlet小波变换的自适应小波脊线提取算法
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摘要
传统小波脊线提取算法在不同信号环境下选择小波参数较为困难。为此,提出一种针对Morlet小波变换谱自适应提取小波脊线的算法。通过分析小波脊线算法,以迭代运算的成功与否作为反馈来调节Morlet小波的形状参数,使小波参数可以在各种信号情况下自适应做出调整。仿真结果表明,该算法可以在同一初始参数设置下,准确地提取出各类信号的小波脊线,且与传统小波脊线提取算法相比,具有更高的检测概率和噪声抑制能力。
It is difficult in selecting wavelet parameter when using the original wavelet ridge extraction algorithm in different signal environments.Therefore,an adaptive algorithm to extract wavelet ridge of Morlet wavelet transform spectrum is proposed.By analyzing wavelet ridge algorithm,this method takes the success of iteration as the feedback in order to adjust the shape parameter of Morlet wavelet,which makes the wavelet basis function change in real-time to adapt to a variety of situations.Simulation results show that wavelet-ridge of all kinds of signals can be accurately extracted with the same initial parameter settings.Meanwhile,the new algorithm has a higher probability of detection and noise suppression compared with the original wavelet ridge extraction algorithm.
It is difficult in selecting wavelet parameter when using the original wavelet ridge extraction algorithm in different signal environments.Therefore,an adaptive algorithm to extract wavelet ridge of Morlet wavelet transform spectrum is proposed.By analyzing wavelet ridge algorithm,this method takes the success of iteration as the feedback in order to adjust the shape parameter of Morlet wavelet,which makes the wavelet basis function change in real-time to adapt to a variety of situations.Simulation results show that wavelet-ridge of all kinds of signals can be accurately extracted with the same initial parameter settings.Meanwhile,the new algorithm has a higher probability of detection and noise suppression compared with the original wavelet ridge extraction algorithm.
引文
[1]陈昌孝,何明浩,朱元清.基于综合时频检测的雷达信号脉内提取[J].弹箭与制导学报,2008,28(4):215-218.
[2]Delprat N.Asymptotic Wavelet and Gabor Analysis:Extraction of Instantaneous Frequencies[J].IEEE Transactions on Information Theory,1992,38(3):644-664.
[3]Liang Hong,Ho K C.Identification of Digital Modul-ation Types Using The Wavelete Transform[C]//Pro-ceedings of IEEE Military Communications Conference.Washington D.C.,USA:IEEE Press,1999:427-431.
[4]Frein F,Rickard S.The Synchronized Short-time-fouriertransform:Properties and Definitions for Multicharmel Source Separation[J].IEEE Transactions on Signal Processing,2011,59(1):91-93.
[5]郭昆,元书俊,朱守中.一种基于瞬时自相关的雷达信号脉内特征提取改进算法[J].仪器仪表学报,2008,29(8):554-556.
[6]Wang Yong.New Time-frequency Distribution Based on the Polynomial Wigner-ville Distribution and L Class of Wigner-ville Distribution[J].IET Signal Processing,2011,4(2):130-136.
[7]郁春来,万建伟,徐如海,等.改进小波脊线法算法分析和仿真[J].现代雷达,2005,27(8):46-48.
[8]任春辉,魏平,肖先赐.改进的Morlet小波在信号特征提取中的应用[J].电波科学学报,2003,18(6):633-637.
[9]余志斌,陈春霞,金炜东.一种新的Moflet小波及其在雷达信号特征提取中的应用研究[J].电路与系统学报,2010,15(1):129-134.
[10]王渝冲,宿绍莹,陈曾平.基于小波变换的雷达信号调制类型识别方法[J].计算机工程,2012,38(23):166-168,172.
[11]余志斌,金炜东.基于脉内特征的雷达辐射源信号识别研究[D].成都:西南交通大学,2010.
[12]普运伟,金炜东,胡来招.基于瞬时频率二次特征提取的辐射源信号分类[J].西南交通大学学报,2007,42(3):373-379.
[2]Delprat N.Asymptotic Wavelet and Gabor Analysis:Extraction of Instantaneous Frequencies[J].IEEE Transactions on Information Theory,1992,38(3):644-664.
[3]Liang Hong,Ho K C.Identification of Digital Modul-ation Types Using The Wavelete Transform[C]//Pro-ceedings of IEEE Military Communications Conference.Washington D.C.,USA:IEEE Press,1999:427-431.
[4]Frein F,Rickard S.The Synchronized Short-time-fouriertransform:Properties and Definitions for Multicharmel Source Separation[J].IEEE Transactions on Signal Processing,2011,59(1):91-93.
[5]郭昆,元书俊,朱守中.一种基于瞬时自相关的雷达信号脉内特征提取改进算法[J].仪器仪表学报,2008,29(8):554-556.
[6]Wang Yong.New Time-frequency Distribution Based on the Polynomial Wigner-ville Distribution and L Class of Wigner-ville Distribution[J].IET Signal Processing,2011,4(2):130-136.
[7]郁春来,万建伟,徐如海,等.改进小波脊线法算法分析和仿真[J].现代雷达,2005,27(8):46-48.
[8]任春辉,魏平,肖先赐.改进的Morlet小波在信号特征提取中的应用[J].电波科学学报,2003,18(6):633-637.
[9]余志斌,陈春霞,金炜东.一种新的Moflet小波及其在雷达信号特征提取中的应用研究[J].电路与系统学报,2010,15(1):129-134.
[10]王渝冲,宿绍莹,陈曾平.基于小波变换的雷达信号调制类型识别方法[J].计算机工程,2012,38(23):166-168,172.
[11]余志斌,金炜东.基于脉内特征的雷达辐射源信号识别研究[D].成都:西南交通大学,2010.
[12]普运伟,金炜东,胡来招.基于瞬时频率二次特征提取的辐射源信号分类[J].西南交通大学学报,2007,42(3):373-379.