原始问题:
(t−1)×(t+1)的傅立叶变换
解:X(ω)=∫_-∞^∞x(t)e^(-jωt)dt
X(ω)=(1/2π)∫_-∞^∞ (t-1)(t+1)e^(-jωt)dt
= (1/2π)[-(2/jω)+((2/jω^3)-(2/jω))]
= (1/(2π))[-(4/(jω^2))]
= -(2/(π ω^2))
(t−1)×(t+1)的傅立叶变换
解:X(ω)=∫_-∞^∞x(t)e^(-jωt)dt
X(ω)=(1/2π)∫_-∞^∞ (t-1)(t+1)e^(-jωt)dt
= (1/2π)[-(2/jω)+((2/jω^3)-(2/jω))]
= (1/(2π))[-(4/(jω^2))]
= -(2/(π ω^2))
Prev:傅立叶变化