Please answer all the questions in the problem Thank you

Write down the expression of the CT-harmonically related complex exponential (HRCE) for a given fundamental frequency w = 27. How many distinct CT HRCEs do we have? What is the common period of all HRCES? Write down the expression of the DT-harmonically related complex exponential (HRCE) for a given fundamental frequency w = 24. How many distinct DT HRCEs do we have? What is the common period of all HRCES? Complete the following MATLAB program. t=linspace(-pi,pi); omega=2*pi/7; k=5; fifth=...; % a sine wave with frequency 5*omega*t k=-2; negative_second=...;% a sine wave with frequency -2*omega*t plot(t,fifth, t, negative_second) grid on; After you run this program, you will see two curves plotted. One is the CT HRCE with k = 5, and the other is the CT HRCE with k = -2. They look different. Use the figure and explain why for the DT HRCE, we have Write down the expression of the CT-harmonically related complex exponential (HRCE) for a given fundamental frequency w = 27. How many distinct CT HRCEs do we have? What is the common period of all HRCES? Write down the expression of the DT-harmonically related complex exponential (HRCE) for a given fundamental frequency w = 24. How many distinct DT HRCEs do we have? What is the common period of all HRCES? Complete the following MATLAB program. t=linspace(-pi,pi); omega=2*pi/7; k=5; fifth=...; % a sine wave with frequency 5*omega*t k=-2; negative_second=...;% a sine wave with frequency -2*omega*t plot(t,fifth, t, negative_second) grid on; After you run this program, you will see two curves plotted. One is the CT HRCE with k = 5, and the other is the CT HRCE with k = -2. They look different. Use the figure and explain why for the DT HRCE, we have