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3. consider a continuous time invariant lti system the impulse response...

# 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-tu(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).