V2EX continuous wavelet transform

Continuous Wavelet Transform

释义 Definition

连续小波变换(CWT)是一种把信号表示为“时间尺度(或频率)”二维形式的分析方法。它用一族由“母小波”经过连续缩放平移得到的小波去与信号做匹配,从而观察信号在不同时间位置、不同尺度上的局部特征(如瞬时变化、突变、周期成分等)。常用于时频分析、非平稳信号分析。

发音 Pronunciation (IPA)

/kntnjus wevlt trnsfrm/

例句 Examples

The continuous wavelet transform helps reveal short-lived patterns in a signal.
连续小波变换有助于揭示信号中持续时间很短的模式。

Using the continuous wavelet transform, researchers analyzed how the vibration’s dominant scale changed over time under varying loads.
研究人员使用连续小波变换,分析了在不同载荷下振动的主导尺度如何随时间变化。

词源 Etymology

wavelet(小波)wave(波)+ 指小后缀 -let(“小的”)构成,字面意思是“较小的波”。transform(变换)源自拉丁语 transformare,意为“改变形态”。“continuus(连续的)”强调尺度与位移参数不是离散取值,而是连续变化;与之相对的常见方法是离散小波变换(DWT)

相关词 Related Words

文献与名著中的用例 Literary / Notable Works

  • Stéphane Mallat, A Wavelet Tour of Signal Processing(多处讨论 CWT 的时尺度表示与应用)
  • Ingrid Daubechies, Ten Lectures on Wavelets(介绍小波理论基础,并涉及连续小波框架)
  • Christopher Torrence & Gilbert P. Compo, “A Practical Guide to Wavelet Analysis” (Bulletin of the American Meteorological Society, 1998)(经典入门文章,使用 CWT 做时间尺度分析)
  • Paul S. Addison, The Illustrated Wavelet Transform Handbook(以图示方式讲解 CWT 与实际信号分析)
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