PLEASE HELP ME USING MATLAB!!!!! PLEASE ANSWER ALL PARTS TO THE QUESTION AND USE MATLAB FUNCTIONS THAT ARE GIVEN. THANK YOU IN ADVANCE FOR YOUR HELP!!!!

10. Complex - Conjugate Pole Pair Consider the sequence The z -transform of this sequence is a 2 - order (proper) rational function that contains a complex - conjugate pole pair. The objective of this problem is to develop a MATLAB function that can be used to obtain the inverse z - transform of such a rational function so that the inverse doesn't contain any complex numbers. a. i. Show that z -transform of x[n] is given by 0 where bo-Ac, b = r(As sin[mVol-Ac cos[Tvo]), a,--2r cos(rvol and 2 2 ii. Using G) above now determine the signal parameters Ac, As,r and vo in terms of the rational function parameters bo, bj, a1 and a2- iii. Now design a MATLAB function invCCPP that computes the signal parameters using the rational function parameters. The format of this function should be function [As ,Ac,r,voj = invCCPP (bO , b1 ,a1,a2) iv. Using the above function, find the causal sequence x[n] for X(z) - 1-z-1 +0.5z-2 b. Suppose 10. Complex - Conjugate Pole Pair Consider the sequence The z -transform of this sequence is a 2 - order (proper) rational function that contains a complex - conjugate pole pair. The objective of this problem is to develop a MATLAB function that can be used to obtain the inverse z - transform of such a rational function so that the inverse doesn't contain any complex numbers. a. i. Show that z -transform of x[n] is given by 0 where bo-Ac, b = r(As sin[mVol-Ac cos[Tvo]), a,--2r cos(rvol and 2 2 ii. Using G) above now determine the signal parameters Ac, As,r and vo in terms of the rational function parameters bo, bj, a1 and a2- iii. Now design a MATLAB function invCCPP that computes the signal parameters using the rational function parameters. The format of this function should be function [As ,Ac,r,voj = invCCPP (bO , b1 ,a1,a2) iv. Using the above function, find the causal sequence x[n] for X(z) - 1-z-1 +0.5z-2 b. Suppose