Design the input signal system of x(t) described below: x (1) = - 2 < 1 < -1 -1 < < 1 0, 1 1 <1 < 2 otherwise 0, 1, (a) Determine the Fourier transform of x(t) analytically and plot the spectrum of x(t). (b) Using MATLAB, determine the Fourier transform numerically and plot the result. (c) Write a report on the steps taking both analytically and by simulation to arrive at the results. (d) What is your interpretation and conclusion of the results you got?