(88)--4.5.8 傅里叶变换的时域微分与积分

第1页■▲八、时域的微分和积分(DifferentiationandIntegrationintimedomain)Iff(t)←→F(jω)then(j)(j)()()Ftfnnj)(j(0)()()dFFxxfttftFjF()d)((0)0Proof:f(n)(t)=(n)(t)*f(t)←→(jω)nF(jω)f(-1)(t)=(t)*f(t)←→j)(j(0)())](jj1()[FFFExample1Example2已知f’(t)←→F1(jω)f(t)←→F(jω)=?