Question: 3. Write a MATLAB program to generate 1 s of a 5-Hz sine wave in a 1000-point array.(Hint: Use Equation 1.4 to determine the equivalent

3. Write a MATLAB program to generate 1 s of a 5-Hz sine wave in a 1000-point array.(Hint: Use Equation 1.4 to determine the equivalent Ts.) a) Plot the sine wave. b) Simulate the sampling of this waveform at 7 Hz by plotting a point (such as an **") at intervals of Ts = 1/fs = 1/7 s. (Use a for-loop to generate the sample time, Ts, insert it into the equation for the 5-Hz sine wave, and plot the resulting point.) C) Aliasing predicts that these sampled points should fall on a 2-Hz (7-5 Hz) sine wave. Can you find a 2-Hz sine wave that includes all seven points? [Hint: The sine wave could be phase shifted by 180.] 3. Write a MATLAB program to generate 1 s of a 5-Hz sine wave in a 1000-point array.(Hint: Use Equation 1.4 to determine the equivalent Ts.) a) Plot the sine wave. b) Simulate the sampling of this waveform at 7 Hz by plotting a point (such as an **") at intervals of Ts = 1/fs = 1/7 s. (Use a for-loop to generate the sample time, Ts, insert it into the equation for the 5-Hz sine wave, and plot the resulting point.) C) Aliasing predicts that these sampled points should fall on a 2-Hz (7-5 Hz) sine wave. Can you find a 2-Hz sine wave that includes all seven points? [Hint: The sine wave could be phase shifted by 180.]

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