Consider a periodic signal x(t) as a train of pulses with 50% duty cycle; within one period (T = 2), it is defined as x(t) = { 1 for 0 t 1 0 for 1 t < 2. (4) A model file called "lab3.mdl" has been posted online for this lab experiment. It gives you an idea how you can design such a system. This model calculates the magnitude of the Fourier series coefficients of the pulse train x(t) (i.e., |ak|, k = 0, 1, 2, . . .). After running the model, generate a figure as follows: figure; coeff = downsample(squeeze(SHout.signals.values), 2000); coef=coeff(2:end); stem(coeff) The generated figure will show the magnitude of the Fourier series coefficients of this pulse train. 2. Learn from this model by using Scope on different signals. Interpret your observations by properly providing relevant formulas or explanations from what you learned in the lectures. Explain how the system works. Note: To learn about different blocks, you can click on each one block. You will receive a dialog box from which you can learn about the block function and its parameters. You can obtain further help by clicking on the "Help" button. 3