Solve only question 2 a and b

Given a source that produces the periodic signal depicted below. The horizontal axis, time, is in milliseconds. The vertical axis is in Volts. a. Calculate its Fourier coefficients a_0 a_n and b_n. Use MATLAB to demonstrate that this periodic function can be expressed as an infinite series consisting of sine or cosine functions. In other words, carry out the summation for 10 harmonics or so and provide a plot of the resultant waveform. Obviously, it should look like an approximation of the original function. b. Calculate the coefficient C_0 and C_n of its compact trigonometric Fourier series expansion. Provide a plot of the magnitude and phase of those coefficients against the harmonic index n. c. What is the RMSE of your Fourier Series approximation? d. What is the power dissipated by a 0.5 k ohm placed across the terminals of the source. The signal of problem 1 is submitted to a low pass filter, comprised of a series resistor (0.5 k ohm) and a shunt capacitor (0.5305 mu F) and a shunt resistor (0.5 k ohm). a. Show the output on the same plot as the original signal. b. What is the power dissipated the shunt resistor (0.5 k ohm) placed across the capacitor