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State with reason if the following signals are periodic. If periodic,.pdf

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State with reason if the following signals are periodic. If periodic, determine the period. e^j k/5 cos(0.1 pi k + 1.2) cos(0.3 pi k + pi/4) + 2sin(0.2 pi k) Solution (a) f = 1/5 period N = 5 (b) f = w/2*pi =0.1 pi / 2 pi = 1/20 period N = 20 (c) f1 = w/2 pi = 0.3 pi / 2 pi = 3/20 f2 = w/2 pi = 0.2 pi/2 pi = 2/20 so, the period N is 20.

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State with reason if the following signals are periodic. If periodic, determine the period. e^j k/5 cos(0.1 pi k + 1.2) cos(0.3 pi k + pi/4) + 2sin(0.2 pi k) Solution (a) f = 1/5 period N = 5 (b) f = w/2*pi =0.1 pi / 2 pi = 1/20 period N = 20 (c) f1 = w/2 pi = 0.3 pi / 2 pi = 3/20 f2 = w/2 pi = 0.2 pi/2 pi = 2/20 so, the period N is 20

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