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地震 ›› 2002, Vol. 22 ›› Issue (3): 51-57.

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小波变换与地震信号特征分析

刘峡1, 张学民2   

  1. 1.中国科学技术大学地球与空间科学系,安徽合肥 230026;
    2.河北省地震局,河北石家庄 050021
  • 收稿日期:2001-12-10 修回日期:2002-03-12 出版日期:2002-07-31 发布日期:2021-12-21
  • 作者简介:刘峡(1967-),女,北京市人,工程师,2000年在读硕士生,主要从事地形变资料分析等研究。

Wavelet transform and seismic signal analysis

LIU Xia1, ZHANG Xue-min2   

  1. 1. Department of Earth and Space Science, University of Science and Technology of China, Hefei 230026, China;
    2. Center for Analysis and Prediction, Seismological Bureau of Hebei Province, Shijiazhuang, China
  • Received:2001-12-10 Revised:2002-03-12 Online:2002-07-31 Published:2021-12-21

摘要: 地震波的瞬时信号,如瞬时振幅、瞬时频率及瞬时相位等,是研究地球介质的重要参数。根据小波定义,对Morlet 小波进行了修正,并对修正后的小波形态进行了深入讨论。理论分析表明,小波变换效果受到整形参数、小波长度、中心频率、频带宽度及小波个数等参数的制约,特别是整形参数与小波中心频率及频带之间关系对小波变换起到决定性作用。在地震波信号的实际处理中,可选取恰当的整形参数,同时采用合适的小波中心频率以避免小波变换对信号产生的遗漏和冗余。文中给出了实际地震记录处理的示例。

关键词: 小波变换, 整形参数, 中心频率, 瞬时振幅, 瞬时相位

Abstract: The instantaneous parameters of seismic wave, suchas instantaneous amplitude, instantaneous frequency, and instantaneous phase, are of very important role in studying prop-erties of the earth. Basedon thedefinition of wavelet, the authors revised the Morlet wavelet and discussed the characteristics of revised wavelet indetailed. Theoretically analysis shows that the effect of wavelet transforms is restricted by the parameters suchas shape, leng th of wavelet, central frequency, b and width, as well as the number of wavelets,especially the rela-tionship among shape, central frequency, and b and width play a key role in wavelet transform. In the actual treatment of seismicrecords, we can choose proper parameter of shape. At mean time, we need give correct central frequency of wavelet to avoid omitting and redundancy of o-riginal message during wavelet transform. At the end of the artic le, the field record isdemon-strated as result of wavelet transform according to the concept of instantaneous amplitude and instantaneous phase.

Key words: Wavelet transform, Parameter of shape, Central frequency, Instantaneous am-plitude, Instantaneous phase

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