非平稳地震信号匹配追踪时频分析

根据三步法匹配追踪原理实现了基于雷克子波的地震信号自适应分解,在此基础上,讨论了利用匹配子波进行地震信号时频表征的方法。由于常规匹配追踪时频是以Wigner-Ville分布为基础,得到的时频信息有限,因此给出了一种基于可调窗口的短时傅氏变换时频表示方法,进而又利用各匹配子波的复谱,引入一种新的时频表示方法,不仅与Wigner-Ville方法具有同等的分辨率和能量聚集特性,而且保留了原信号的最基本时频特征,不存在交叉项和窗口截断效应。通过与短时傅氏变换和S变换时频特征的对比发现,匹配追踪时频表征和瞬时谱参数具有更高的分辨率。实际数据的应用也表明,匹配追踪分解非常适用于非平稳特征的地震信号的时频分析。

MATCHING PURSUIT TIME-FREQUENCY ANALYSIS OF NON-STATIONARY SEISMIC SIGNALS

In this paper,the authors made Ricker wavelet-based adaptive matching pursuit decomposition of seismic signals and discussed the method of time-frequency representation by matching wavelets.Since the time-frequency information of matching wavelet's Wigner-Ville distribution is limited,this paper proposes a time-frequency representation based on adjustable window Short Time Fourier Transform.Furthermore,by using the complex spectrum of matching wavelets,this paper introduces a new time-frequency representati...