Question 1 (a) This question will investigate the effect of varying the sampling rate on the transform of the sampled signal. Write a MATLAB script which will prompt the user to specify the number of periods and the step size over which the transform is to be computed. This will define the w array as C -n *pi step size n*pi j where n is the number of periods. The array w should be declared to be global Re-write your code used in Lab 3 as a function which receives a signal x (n) and returns the Discrete Time Fourier Transform of the signal. Make use of a function to compute the value of N for a given value of sampling rate The program is to ask the user to input the value of the sampling rate (in terms of the number of times of the Nyquist rate, i.e. 2 times. 3.6 times, etc). The program then plots in one figure win dow the sampled signal (using stem) and the Fourier transform of the sampled signal. This is to be repeated 5 times