| 小波变换与地震信号特征分析 |
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| 引用本文： | 刘峡,张学民.小波变换与地震信号特征分析[J].地震,2002,22(3):51-57. |
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| 作者姓名： | 刘峡 张学民 |
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| 作者单位： | 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 |
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| 摘 要： | 地震波的瞬时信号，如瞬时振幅，瞬时及瞬时相位等，是研究地球介质的重要参数。根据小波定义，对Morle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娄的制约，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，中给出了实际地震记录处理的示例。
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| 关 键 词： | 地震信号 小波变换 整形参数 中心频率 瞬时振幅 瞬时相位 |
| 文章编号： | 1000-3274(2002)03-0051-07 |
| 修稿时间： | 2001年12月10 |
Wavelet transform and seismic signal analysis |
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| LIU Xia ,ZHANG Xue min.Wavelet transform and seismic signal analysis[J].Earthquake,2002,22(3):51-57. |
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| Authors: | LIU Xia ZHANG Xue min |
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| Institution: | LIU Xia 1,ZHANG Xue min 2 |
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| Abstract: | The instantaneous parameters of seismic wave, such as instantaneous amplitude, instantaneous frequency, and instantaneous phase, are of very important role in studying properties of the earth. Based on the definition of wavelet, the authors revised the Morlet wavelet and discussed the characteristics of revised wavelet in detailed. Theoretically analysis shows that the effect of wavelet transforms is restricted by the parameters such as shape, length of wavelet, central frequency, bandwidth, as well as the number of wavelets, especially the relationship among shape, central frequency, and bandwidth play a key role in wavelet transform. In the actual treatment of seismic records, we can choose proper parameter of shape. At mean time, we need give correct central frequency of wavelet to avoid omitting and redundancy of original message during wavelet transform. At the end of the article, the field record is demonstrated as result of wavelet transform according to the concept of instantaneous amplitude and instantaneous phase. |
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| Keywords: | Wavelet transform Parameter of shape Central frequency Instantaneous amplitude Instantaneous phase |
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