V2EX hilbert-huang transform

Hilbert-Huang Transform

释义 Definition

希尔伯特黄变换(HHT):一种用于分析非线性、非平稳信号的时频分析方法,通常由两步组成:先用经验模态分解(EMD)将信号分解为若干本征模态函数(IMFs),再对各IMF做希尔伯特变换以获得瞬时频率与能量分布(希尔伯特谱)。常见于地球物理、工程振动、生物医学信号等领域。(也存在扩展/变体,如EEMD、CEEMDAN等。)

发音 Pronunciation (IPA)

/hlbrt hw trnzfrm/

例句 Examples

We used the Hilbert-Huang transform to analyze the vibration signal.
我们使用希尔伯特黄变换来分析振动信号。

Because the data are nonstationary and nonlinear, the Hilbert-Huang transform provides a more adaptive time-frequency representation than classical Fourier methods.
由于数据是非平稳且非线性的,希尔伯特黄变换比经典傅里叶方法能提供更自适应的时频表示。

词源 Etymology

“Hilbert-Huang”来自两部分:Hilbert指德国数学家大卫希尔伯特(Hilbert transform 为经典信号处理工具之一);Huang指黄锷(Norde E. Huang)等人在1990年代提出并系统化该方法(以EMD + Hilbert谱分析为核心),因此合称“希尔伯特黄变换”。

相关词 Related Words

文献与作品 Literary / Notable Works

  • Huang, N. E., Shen, Z., Long, S. R., et al. (1998). “The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis.” Proceedings of the Royal Society A(HHT的代表性奠基论文)
  • Norden E. Huang & Samuel S. P. Shen (eds.). (2005). **Hilbert-Huang Transform and Its Applications**(系统介绍HHT及应用的专著)
  • David Gabor, J. B. J. Fourier等传统时频分析相关经典著作常被用作对比背景(虽不以HHT为主题,但在HHT文献中经常被引用讨论)
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