The CT LTI Signal
$ y(t) = 7x(t-4) \! $
The Unit Impulse Response
$ y(t) = 7x(t-4) \! $
$ h(t) = 7\delta(t-4) \! $
$ H(s) = 7e^{-4s} \! $
HW 4.1 Response
HW 4.1 signal
$ \frac{1}{2j}(e^{j4\pi t}-e^{-j4\pi t}) + \frac{1}{2}(e^{j3\pi t} + e^{-j3\pi t}) + e^{j2\pi t} $
The response is equal to the convolution of the input signal and the system.
$ 7e^{-4jt}\frac{1}{2j}(e^{j4\pi t}-e^{-j4\pi t}) + 7e^{-4jt}\frac{1}{2}(e^{j3\pi t} +e^{-j3\pi t}) + 7e^{-4jt}e^{j2\pi t} $
