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Evolutionary Spectra Estimation of Field Measurement Typhoon Processes Using Wavelets

机译：基于小波的场测量台风过程的演化谱估计

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摘要

This paper presents a wavelet-based method for estimating evolutionary power spectral density (EPSD) of nonstationary stochastic oscillatory processes and its application to field measured typhoon processes. The EPSD, which is deduced in a closed form based on the definition of the EPSD and the algorithm of the continuous wavelet transform, can be formulated as a sum of squared moduli of the wavelet functions in time domain modulated by frequency-dependent coefficients that relate to the squared values of wavelet coefficients and two wavelet functions with different time shifts. A parametric study is conducted to examine the efficacy of the wavelet-based estimation method and the accuracy of different wavelets. The results indicate that all of the estimated EPSDs have acceptable accuracy in engineering application and the Morlet transform can provide desirable estimations in both time and frequency domains. Finally, the proposed method is adopted to investigate the time-frequency characteristics of the Typhoon Matsa measured in bridge site. The nonstationary energy distribution and stationary frequency component during the whole process are found. The work in this paper may promote an improved understanding of the nonstationary features of typhoon winds.
机译：本文提出了一种基于小波的非平稳随机振荡过程演化功率谱密度估计方法及其在台风实测中的应用。根据EPSD的定义和连续小波变换的算法以封闭形式推导的EPSD可以表示为时域中小波函数平方模的总和，并通过与频率相关的系数进行调制到小波系数的平方值和两个具有不同时移的小波函数。进行了参数研究，以检验基于小波的估计方法的有效性以及不同小波的准确性。结果表明，所有估计的EPSD在工程应用中都具有可接受的精度，Morlet变换可以在时域和频域中提供理想的估计。最后，采用所提出的方法研究台风Matsa在桥梁现场测得的时频特征。发现整个过程中的非平稳能量分布和固定频率分量。本文的工作可能会增进对台风非平稳特征的了解。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第4期|945203.1-945203.10|共10页
  • 作者

    Zhou Guang-Dong; Ding You-Liang; Li Ai-Qun;

  • 作者单位

    Hohai Univ, Coll Civil & Transportat Engn, Nanjing 210098, Jiangsu, Peoples R China.;

    Southeast Univ, Minist Educ, China Key Lab Concrete & Prestressed Concrete Str, Nanjing 210096, Jiangsu, Peoples R China.;

    Southeast Univ, Minist Educ, China Key Lab Concrete & Prestressed Concrete Str, Nanjing 210096, Jiangsu, Peoples R China.;

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