Suppose we have a LTI CT signal y(t)=2x(t)
Unit Impulse Response h(t) and System Function H(s)
$ y(t)=2x(t)=>h(t)=2\delta(t) $
$ H(j\omega)=\int_{-\infty}^\infty h(\tau)e^{-j\omega\tau}d\tau $
Suppose we have a LTI CT signal y(t)=2x(t)
$ y(t)=2x(t)=>h(t)=2\delta(t) $
$ H(j\omega)=\int_{-\infty}^\infty h(\tau)e^{-j\omega\tau}d\tau $