[SS] Fourier Transform Table
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.../Signals and Systems
0. Fourier Transform Table $x(t)$$X(\omega)$ 1$e^{-a t}u(t), a>0$$\frac{1}{a+j\omega}$ref.2$e^{a t} u(-t) , a>0$$\frac{1}{a-j\omega}$ 3$e^{-a \vert t\vert}, a>0$$\frac{2a}{a^2+\omega^2}$ 4$te^{-a t}u(t), a>0$$\frac{1}{ (a+j\omega)^2}$ 5$t^ne^{-a t}u(t), a>0$$\frac{n!}{ (a+j\omega)^{n+1}}$ 6$\delta(t)$$1$ref.7$1$$2\pi \delta(\omega)$ref.8$e^{j\omega_0t}$$2\pi \delta (\omega-\omega_0) $ref.9$\text..