Practice Classification of Signals - GATE & ESE

Classification of Signals

Consider the integral $\mathrm{y}(\mathrm{t})=\frac{1}{2} \int_{-\infty}^{\infty} \mathrm{x}(\tau)[\delta(\tau-2)+\delta(\tau+2)] \mathrm{d} \tau$ .

y(t) can be simplified to:

$\frac{1}{2}[\mathrm{x}(2)-\mathrm{x}(-2)]$

x(-2)

x(2)

$\frac{1}{2}[x(2)+x(-2)]$