Fourier Transform

Maple
  • 傅里叶谱F(μ)=[R2(μ)+I2(μ)]1/2|F(\mu)|=[R^2(\mu)+I^2(\mu)]^{1/2},就是傅里叶系数的模长(因为变换得到的是复数)。
  • 相角ϕ(μ)=arctan(I(μ)R(μ))\phi(\mu)=arctan(\frac{I(\mu)}{R(\mu)}),就是复平面上的θ\theta角。
  • 能量谱P(μ)=F(μ)2=R2(μ)+I2(μ)P(\mu)=|F(\mu)|^2=R^2(\mu)+I^2(\mu),模长的平方。
  • Title: Fourier Transform
  • Author: Maple
  • Created at : 2025-02-21 10:35:44
  • Updated at : 2025-06-24 12:10:10
  • Link: https://www.maple367.eu.org/Numerical-Analysis/fourier-transform/
  • License: This work is licensed under CC BY-NC-SA 4.0.
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Fourier Transform