经验模式分解与小波变换在模拟信号中的对比分析
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摘要
经验模式分解和小波分解是当前有效处理非平稳信号的两种时频分析方法,它们各具优缺点,适用于不同的领域。模拟信号突变性检测、趋势检测和频率检测的对比实验表明:在突变检测方面,小波分解优于经验模式分解;但经验模式分解在低频信号检测及趋势检测方面优于小波分解。
Empirical mode decomposition (EMD) and wavelet decomposition (WD) are two new time-frequency analytic methods used to analyze the non-stationary signal. Each of these two analytic methods holds its characteristics in non-stationary signal processing. A contrast experiment among simulated experiments of signal mutation, signal trend extraction and frequency detection demonstrated that WD was better than EMD in signal mutation detection, while EMD was better than WD in low frequency signal detection and signal trend extraction.
Empirical mode decomposition (EMD) and wavelet decomposition (WD) are two new time-frequency analytic methods used to analyze the non-stationary signal. Each of these two analytic methods holds its characteristics in non-stationary signal processing. A contrast experiment among simulated experiments of signal mutation, signal trend extraction and frequency detection demonstrated that WD was better than EMD in signal mutation detection, while EMD was better than WD in low frequency signal detection and signal trend extraction.
引文
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[2]HUANG N E.SHEN Z.LONG S R.The Emprical Mode Decomposition and Hilbert Spectrum for Nonlinear and Non-stationary Time series Analysis[C].Proceedings of the Royal Society of London SERIESA,1998,454:903-995.
[3]HUANG N E,SHEN Z,LONG S R.A newviewof non-linear water waves:The Hilbert spectrum[J].Annu.Rev.Fluid Mech.,1999,31:417-457.
[4]石春香,罗奇峰,郭忠印.Huang变换在地震波信号纠偏中的应用[J].同济大学学报:自然科学版,2005,33(7):895-899.
[5]于德介,程军圣,杨宇.Hilbert-Huang变换在齿轮故障诊断中的应用[J].机械工程学报,2005,41(6):102-107.
[6]石春香,罗奇峰.时程信号的Hilbert-Huang变换与小波分析[J].地震学报,2003,25(4):398-406.
[7]谭善文,秦树人,汤宝平.Hilbert-Huang变换的滤波特性及其应用[J].重庆大学学报:自然科学版,2004,27(2):9-12.
[8]戴吾蛟,丁晓利,朱建军,等.基于经验模式分解的滤波去噪法及其在GPS多路径效应中的应用[J].测绘学报,2006,35(4):321-327.
[9]CHAN W S,XU Y L,ASCE M,et al.Assessment of Dynamic Measurement Accuracy of GPS in Three Direc-tions[J].Journal of Surveying Engineering,2006,(8):108-117.
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