푸리에 해석

$f(x)=displaystylesum_{n=-infty}^{infty} c_{n} e^{jn omega x}$

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$displaystyle begin{aligned} c_{n}=frac{1}{T}int_{x_{0}}^{x_{0}+T}f(x)e^{-jn omega x} ,{rm d}x end{aligned}$

푸리에 변환: $displaystyle begin{aligned}mathcal{F}{f(t)} = F(omega) = int_{-infty}^{infty} f(t) e^{-j omega t} , dt end{aligned}$

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푸리에 역변환: $displaystyle begin{aligned}f(t) = frac{1}{2pi} int_{-infty}^{infty} F(omega) e^{j omega t} , domega end{aligned}$