a) Write a (Matlab) function, which accepts the following inputs: - the finite set of Fourier series coefficients [a-N, a-N+1,, a-1, a0, a1, ... aN-1, aN] the fundamental period T of the signal to be reconstructed a vector t representing the times for which the signal will be constructed and produces as output x(t) (i.e., the output of the (Matlab) function should be a vector x of length equal to the length of t containing the values of x at the times indicated by t). b) Consider the following signal 1, \t< x(t) = 341 *< | |< = 1- x(t) is periodic with period T-3s. Plot x(t) for the time interval t = -3 and t = 3 (in increments of 0.1). 2- Analytically derive the Fourier series coefficients for the signal x(t). Show all steps of your derivation. 3- Using the (Matlab) function derived in question a), plot x(t) for N = 3, 5, 11, 32, 100 for the time interval t = -3 and t = 3. Note that you will have to write a (Matlab) code that generates the coefficients for different N.