Re: [理工] 理工 fourier
※ 引述《jody0113 (peter123)》之銘言:
: 1.Find the complex Fourier transform of the function f(x)={e^(-ax) x>0
∞ -iωx
F(ω) = ∫ f(x) e dx
-∞
∞ -ax -iωx
= ∫ e e dx
0
-iωx 1
= L[e ]│ = ──
│s=a a+iω
:
: 2.Find the fourier transform of the function f(x)={xe^(-x) x>0
: {0 x<0
: 麻煩版上高手幫忙..
-iωx -d 1 -1
L[xe ]│ = ──*── = - ──────
│s=a da a+iω (a + iω)^2
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