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Definition of Fourier Transform
对一个满足分段连续的函数\(f(t)\)做傅里叶变换，可以将其从时域（\(t\)）转换到频域（\(\omega\)），它的定义为：\(\displaystyle {\hat{f}(\omega)=\mathcal {F}}[f(t)]=\int _{-\infty}^{+\infty }f(t)e^{-i\omega t}\,\mathrm {d} t\)
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