What is the total energy of the signal in Problem 4.1? What is its average powers in one period? How many percentage of the average power lies inside the frequency range [-7, 7]?
Problem 4.1
What is the fundamental frequency and fundamental period of the signal
x(t) = 3 + sin 6t - 2 cos 6t + π sin 9t - cos 12t
Express it in complex Fourier series and plot the magnitudes and phases of its frequency components.