V2EX fourier

Fourier

释义 Definition

“Fourier”通常指傅里叶(多见于“傅里叶变换 Fourier transform”“傅里叶级数 Fourier series”等),是数学与信号处理中的核心概念,用来把一个函数/信号表示为不同频率的正弦、余弦(或复指数)成分之和,从而在“频域”分析问题。也可指提出相关理论的法国数学家与物理学家约瑟夫傅里叶(Joseph Fourier)。

发音 Pronunciation

/frie/

例句 Examples

We used a Fourier transform to remove noise from the audio.
我们使用傅里叶变换来去除音频中的噪声。

Fourier methods allow us to analyze how different frequencies contribute to a complex signal, which is essential in communications and image processing.
傅里叶方法使我们能够分析不同频率如何构成复杂信号,这在通信和图像处理中至关重要。

词源 Etymology

“Fourier”源自法国数学家 Joseph Fourier 的姓氏。由于他在热传导与函数展开方面提出的重要思想(尤其是傅里叶级数与相关方法),后世把与这些理论相关的变换、分析工具以其姓氏命名。

相关词 Related Words

文学与著作中的出现 Notable Works

  • The Analytical Theory of HeatThéorie analytique de la chaleur,1822,Joseph Fourier):傅里叶思想的代表性著作。
  • Fourier Analysis(T. W. Krner):经典教材,系统讨论傅里叶分析。
  • The Fourier Transform and Its Applications(Ronald N. Bracewell):工程与应用导向的常用参考书。
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