Re: [理工] [工數]-Fourier 轉換
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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03/01 00:17, , 1F
03/01 00:17, 1F
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