The Fourier transform of x(t) is defined as [中山電機甲]
∞ -iwt
F{x(t)} = X(w) =∫ x(t)e dt
-∞
Let z(t)=1 be a constant function.Define
︴1 t≧0
y(t)=︴
︴-1 t<0
and unit step function
︴1 t≧0
u(t)=︴
︴0 t<0
(a)Find the Fourier transform z(t),y(t) and u(t).
∞
(b)Evaluate the integral∫ U(w)dw = ?
-∞
(a)有算出來但(b)的觀念不太好,不知道怎麼解,希望高手能教一下
∞ 1
(b)是算到這一項卡住了∫ ── dw =?
-∞ iw
t
追加一題h(t)=∫ g(x)dx的傅立葉轉換?
-∞
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※ 編輯: zendla 來自: 134.208.38.53 (10/07 20:11)