Problem 2 Consider the system depicted below a() b(t) (t) Hu) c(t) p(t) q(t) where()≈sin4rt Tt, p(t)=cos 2t, q(t)sin 2nt and the frequency response of H(ju)is giv HGw) a) Let A(ju) be the Fourier transform of a(t). Sketch and clearly label AGu) (b)Let B(u) be the Fourier transform of b(t). Sketch and clearly label B(u) (c) Let C(w) be the Fourier transform of c(t). Sketch and clearly label C(w) (d)Compute the output c(t) Problem 3 O&W 4.44. In addition to parts(a)and(b), answer the following (c) Find the differential equation relating the input and output of this system Problem 4 O&W 5 21(c),(g) Problem 5 The following are Fourier transforms of discrete-time signals. Determine the signal corresponding to each transform (a)X(e)=4e14-e+6+8e-13-16e-1lProblem 2 Consider the system depicted below: x(t) × a(t) H( ) b(t) j� × c(t) p(t) q(t) sin 4�t sin 2�t where x(t) = , p(t) = cos 2�t, q(t) = , and the frequency response of H(j�) is �t �t given by H(j�) � 1 −2� 2� (a) Let A(j�) be the Fourier transform of a(t). Sketch and clearly label A(j�). (b) Let B(j�) be the Fourier transform of b(t). Sketch and clearly label B(j�). (c) Let C(j�) be the Fourier transform of c(t). Sketch and clearly label C(j�). (d) Compute the output c(t). Problem 3 O&W 4.44. In addition to parts (a) and (b), answer the following . (c) Find the differential equation relating the input and output of this system. Problem 4 O&W 5.21 (c), (g) Problem 5 The following are Fourier transforms of discrete-time signals. Determine the signal corresponding to each transform. −j11� (a) X(ej�) = 4ej4� − ej� + 6 + 8e−j3� − 16e 2