Make a detailed and accurately labeled sketch of ht mark

Question

Question: The impulse response of an LTI system is given by

h(t) = 10 sin[4Π(t - 1)]
              Π(t - 1)

(a) Make a detailed and accurately labeled sketch of h(t). Mark the important amplitudes and time locations of peaks and zero crossings.

(b) Determine the Fourier transform H(jω) of this impulse response; recall that H(jω) is also the frequency response of the system.

(c) Make detailed plots of H(jω), and LH(jω) versus w. Label your plots carefully.