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4. An analog signal ta(t) having a CTFT X (12) as shown in Fig.1(a), with 1800 rad/second and 12 2200m rad/second. It is used as an input to the system shown in Fig. 1(b) where the sampling frequency Fy=1/T = 2500 samples/second and H(cfw) is an ideal digital lowpass filter with a cutoff frequency wc = 0.11 radian. X.(A) X(t) *(n) w(1) () y) Ideal Sampler 2500 Howy 5 -1,-1 A, cas (0.8m) (a) (b) Figure 1: Problem 4 (a) Sketch the spectra X(cmu), W(Q), V(ew) and (eju). (b) Change the sampling rate of y(n) to FT = 600. i) Sketch the block digram of the system with detailed explanation of each block and ii) sketch the output spectrum Y'(cmu)