Comparative study of Hilbert–Huang transform, Fourier transform and wavelet transform in pavement profile analysis
Comparative study of Hilbert–Huang transform, Fourier transform and wavelet transform in pavement profile analysis
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DOI：
10.1080/00423110802167466
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发表时间：
2009-03
影响因子：
3.6
通讯作者：
Albert Y. Ayenu-Prah;N. Attoh-Okine
中科院分区：
文献类型：
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作者：
Albert Y. Ayenu-Prah;N. Attoh-Okine
本研究采用希尔伯特-黄变换（HHT）、小波变换和傅里叶变换来分析三种路面轮廓的路面轮廓。小波和傅立叶变换是传统的谱分析方法，但它们基于先验选择无限长度或具有固定有限宽度的基函数。 HHT 的中心思想是经验模态分解，它将信号分解为称为本征模态函数 (IMF) 的基函数。然后可以将希尔伯特变换应用于 IMF 以生成称为希尔伯特谱的能量-时间-频率谱。 HHT 的优势在于处理非平稳和非线性数据的能力。与傅里叶变换将信息从时域变换到频域不同，HHT在变换后不会丢失时间信息，即能量-频率信息保留在时域中。本文试图用上述三种方法揭示道路轮廓数据的频率和能量含量，以此作为建立最合适的方法来表征路面轮廓的乘坐质量的方法。在进行分析时，考虑了文献中指出的道路轮廓的性质和行为，即道路轮廓是非平稳的并且本质上是非高斯的。事实证明，HHT 在详细的剖面分析和描述方面提供了更大的灵活性，这有利于路面剖面分析人员了解对车辆振动和乘坐质量的影响。
This study employs the Hilbert–Huang transform (HHT), the wavelet transform and the Fourier transform to analyse the road surface profiles of three pavement profiles. The wavelet and Fourier transforms have been the traditional spectral analysis methods, but they are predicated on a priori selection of basis functions that are either of infinite length or have fixed finite widths. The central idea of HHT is the empirical mode decomposition, which decomposes a signal into basis functions called the intrinsic mode functions (IMFs). The Hilbert transform can then be applied to the IMFs to generate an energy–time–frequency spectrum called the Hilbert spectrum. The strength of HHT is the ability to process non-stationary and non-linear data. Unlike the Fourier transform, which transforms information from the time domain into the frequency domain, the HHT does not lose temporal information after transformation, i.e. energy–frequency information is maintained in the time domain. This paper attempts to reveal the frequency and energy content of the road profile data with the three methods mentioned as a means to establishing the most suitable way of characterising the pavement profiles in terms of ride quality. In performing the analyses, the nature and behaviour of the road profiles as indicated by the literature are taken into account, that road profiles are non-stationary and are inherently non-Gaussian. It is demonstrated that HHT offers more flexibility in terms of detailed profile analysis and description, which can be beneficial to pavement profile analysts in understanding the effects on vehicle vibrations and ride quality.