Answer Happy

a 1. During lab 4, we have seen numerical implementation of Fourier Series for periodic signals. As first part of this assignment, you need to write a Matlab function that would take an array representing a single period of a signal (x), corresponding time array (t), and return the Fourier Series coefficients (ck) in exponential form. The function should also be able to take two (2) optional input arguments: number of Fourier coefficients (Nk) and plot option (p). Use the template 'fourier_series_exp.m’ for this problem. 2. A signal x = 0.6 {u(t + 2) – (cos (Tt) + 1) [u(t + 1) – uſt – 1)] - uſt – 2)} with a period –5 st s 5 controls the location of the light source in an optical scanner. Plot the signal for the interval –5 st s 25, its spectrum (Cxl vs Wand ZCk vs @ ), and reconstructed time domain signal using 51 Fourier Series coefficients. Use the function you have written in problem 1 for solving this problem.