LTI System: $ y(t) = Kx(t)\, $ where K is a constant
Unit Impulse Response: $ h(t) = K \delta(t)\, $
Frequency Response:
$ H(s) = \int^{\infty}_{-\infty} h(\tao)e^{-j\omega_0 r} d\tao $ by definition
LTI System: $ y(t) = Kx(t)\, $ where K is a constant
Unit Impulse Response: $ h(t) = K \delta(t)\, $
Frequency Response:
$ H(s) = \int^{\infty}_{-\infty} h(\tao)e^{-j\omega_0 r} d\tao $ by definition