# Question: consider a continuous time invariant lti system the impulse response...

###### Question details

Consider a Continuous time invariant (LTI) system. The impulse
response of the LTI system is h(t)=2e^{-t}u(t). If an input
signal x(t)=(3+e^{-3t})u(t) is applied to this LTI
system.

a) Compute the output signal y(t) with convulation integral.

b) Compute the H(jw) by using the Fourier Transform Formula

c) Determine the X(jw) and H(jw) to obtain Y(jw) and y(t).