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Louis

Asked: July 26, 20222022-07-26T21:28:52-04:00 2022-07-26T21:28:52-04:00In: Uni

Determine if the following CT signals are periodic

1.5 Determine if the following CT signals are periodic. If yes, calculate the fundamental period 𝑻𝒐
for the CT signals:
(i) 𝑥1(𝑡) = sin (−5𝜋𝑡/8 + 𝜋/2);
(ii) 𝑥2(𝑡) = |sin (−5𝜋𝑡/8 + 𝜋/2)|;
(iii) 𝑥3(𝑡) = sin(6𝜋𝑡/7) + 2𝑐𝑜𝑠(3𝑡/5);
(iv) 𝑥4(𝑡) = exp (𝑗(5𝑡 + 𝜋/4));
(v) 𝑥5(𝑡) = exp (𝑗3𝜋𝑡/8) + exp (𝜋𝑡/86);
(vi) 𝑥6(𝑡) = 2 cos(4𝜋𝑡/5) x 𝑠𝑖𝑛2(16𝑡/3);
(vii) 𝑥7(𝑡) = 1 + sin 20𝑡 + cos (30𝑡 + 𝜋/3);