δ(t) > 1

1 > 2πδ(ω)

e^{jω0t} > 2πδ(ω - ω0)

cos(ω0t) > π[δ(ω - ω0) + δ(ω + ω0)]

sin(ω0t) > (π/j)[δ(ω - ω0) - δ(ω + ω0)]

e^{-at}u(t), a > 0 > 1/(a + jω)

e^{-a|t|}, a > 0 > 2a/(a^2 + ω^2)

u(t) > πδ(ω) + 1/(jω)

矩形脉冲: x(t)=1, |t|<T1 > 2sin(ωT1)/ω

频域矩形: X(jω)=1, |ω|<W > sin(Wt)/(πt)

周期信号: x(t)=Σ ak e^{jkω0t} > 2πΣ ak δ(ω-kω0)

冲激串: Σ δ(t-nT) > (2π/T)Σ δ(ω-k2π/T)