Re: [理工] [工數] Fourier 轉換

[BLUEBL00D (藍血魂)]

Duality: let F(w)= F{f(t)}
             inf.
f(t)=(1/2pi) ∫   F(w) exp(iwt) dw
            -inf.

           inf.
2pi*f(t)=  ∫   F(w) exp(iwt) dw
          -inf.

let t=-x , w=y

           inf.
2pi*f(-x)=  ∫   F(y) exp(-ixy) dy   等號右邊為F.T.定義
          -inf.

=>F{ F(t) } = 2pi*f(-w)

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