How to solve using matlab The purpose of this problem is to use MATLAB to perform discrete-time convolution and to solve a linear difference equation. Consider an LTI system described by the difference equation y 0.8y-2x under the assumption of initial rest. We want to use MATLAB to compute the output y for the following three inputs x: (i) u – u, (ii) u 2u+ u, and (ii) (0.7)*n u. This should be done for each input using the three methods given below. For each method, turn in a listing of the code used to compute y, along with plots of x and y on the same axes (using an appropriate range 5. 3 5 9 of n to adequately illustrate the solution). a) (10 pts) Design a program to implement this equation directly in MATLAB. That is, your program should perform the recursion similar to that in Example 2.15. b) (10 pts) Design a program to implement the convolution sum directly. This should be written for arbitrary x and h. Note that to do this, you will have to determine the impulse response h of this system, either analytically or using the results of part a) c) (5 pts) Use the convO function to compute the convolution. The convO function is a built-in function of MATLAB. Compare the results that you obtain to those in parts a) and b).