For the periodic signal shown above where time t is in sec, a) determine the exponential Fourier Series coefficients of the signal; b) use the result of part a) to determine the exponential Fourier series of the signal: c) use the result of part b to generate in MATLAB the signal shown in terms of its Fourier Series expansion. Show a diagram over the same time interval above and make sure to include the code used to generate the plot (NO CODE = NO CREDIT).d) Use MATLAB to generate a spectral plot showing separately magnitude and phase as a function of frequency.
2. Apply the signal of Prob. 1 to the following systems specified in terms of the impulse response: a) , b) , c) , d) . For each of these four cases, determine and plot using MATLAB as a function of and as a function of . For each of these cases determine the output and plot as function of time for each of the four impulse responses.