Wavelet energy spectrum for time‐frequency localization of earthquake energy

Wavelet energy spectrum for time‐frequency localization of earthquake energy
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DOI:
10.1002/ima.10038
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发表时间:
2003
影响因子:
3.3
通讯作者:
Ziqin Zhou;H. Adeli
Ziqin Zhou;H. Adeli
中科院分区:
计算机科学4区
文献类型:
--
作者:
Ziqin Zhou;H. Adeli

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作者最近开发了一种使用墨西哥帽小波对地震记录进行时频信号分析的方法。地震中的地面运动被假定为一系列简单的硬币形破裂,这些破裂发生在沿着断层线的不同位置,并发生在不同的时间。在这篇文章中,小波能量谱提出了地震输入能量的时频局部化。由一个简单的硬币形破裂产生的地面加速度被用作形成母小波的基础。选择对称的墨西哥帽小波作为母小波。频谱在二维时频域中以图形方式呈现。建议的小波能量谱可以用来观察随时间和距离的网站从震中的地震能量的频率内容的演变比传统的时间序列(加速度)或频域(傅立叶振幅谱)表示更准确的方式。它可以被看作是观察地震加速度记录时频特性的显微镜。小波能量谱提供了频率演化信息,可用于结构设计过程。© 2003 Wiley Periodicals,Inc. Int J Imaging Syst Technol 13,133-140,2003;在线发表于Wiley InterScience(www.interscience.wiley.com)。DOI 10.1002/ima.10038
The authors recently developed a method for time‐frequency signal analysis of earthquake records using Mexican hat wavelets. Ground motions in earthquakes are postulated as a sequence of simple penny‐shaped ruptures at different locations along a fault line and occurring at different times. In this article, a wavelet energy spectrum is proposed for time‐frequency localization of the earthquake input energy. The ground acceleration generated by a simple penny‐shaped rupture is used as the basis to form the mother wavelet. The symmetric Mexican hat wavelet is chosen as the mother wavelet. The spectrum is presented pictorially in a two‐dimensional, time‐frequency domain. The proposed wavelet energy spectrum can be used to observe the evolution of the frequency contents of earthquake energy over time and distance of the site from the epicenter in a more accurate manner than the traditional time series (accelerogram) or frequency domain (Fourier amplitude spectrum) representation. It can be viewed as a microscope for looking into the time‐frequency characteristics of earthquake acceleration records. The wavelet energy spectrum provides frequency evolution information to be used in the structural design process. © 2003 Wiley Periodicals, Inc. Int J Imaging Syst Technol 13, 133–140, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ima.10038