Repeat example for each of the following signals assuming

Question

Question: Repeat Example for each of the following signals, assuming that the sampling rate to discretize the CT signals is 22 000 samples/s

(i) x₁(t) = 2 + 3cos(8000Πt) + 7cos(18000Πt);

(ii) x₂(t) = 2cos(10000Πt) + 5cos(30000Πt);

(iii) x₃(t) = 5cos(600Πt) + 9cos(9000Πt) + 2cos(3000Πt);

(iv) x₄(t) = 4cos(28000Πt) + 6cos(18000Πt);

Example: A continuous-time audio signal x(t) = 3 cos(1000πt) + 5 cos(2000πt) is sampled at a sampling rate of 8000 samples/s to produce the DT sequence x[k]. Calculate the output signals if the DT signal x[k] is applied at the input of an