信号处理技术

John A. Putman
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摘要

傅里叶变换男爵让·巴蒂斯特·约瑟夫·傅里叶是一位法国数学家,他在他的《热的解析理论》中发展了被称为傅里叶分析的技术。这项技术已被证明在许多其他不相关的学科中有应用,包括(在我们的情况下)电磁信号的分析。傅里叶定理本质上表明,任何信号的频率内容都可以被描述为一组特定正弦波的和。正弦波是唯一的纯频率,这种形状的任何畸变都代表某些基频的谐波。因此,任何波,无论形状多么奇怪,都可以分解成它的正弦波分量。
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Signal processing techniques
Signal Processing Techniques John A. Putman M.A., M.S. The Fourier Transform Baron Jean Baptiste Joseph Fourier was a French mathematician who in his Theorie analytique de la chaleur (Analytical Theory of Heat), developed the technique known as Fourier Analysis. This technique has proven to have application in many other unrelated disciplines including (in our case) the analysis of electromagnetic signals. Fourier's Theorem essentially states that the frequency content of any signal can be described as the sum of a specific set of sine waves. The sine wave is the only pure frequency and any distortion of this shape represents harmonics of some fundamental frequency. Thus any wave, no matter how oddly shaped, can be broken down into its component sine waves.
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