signals and systems 1. Question: By partial fraction method, find the inverse z-transform of X(z): X(a)=7-4....
4. Problem: By the partial fraction expansion method, obtain the inverse z transform of *(z)=1 (1 - z-')(1 - 0.22-1)
Compute inverse z-transform of X(z) = z2/(z-0.5)(z-1)2 using (a) Partial fraction method and (b) method of residues [20 points]
Question # 2 Find inverse Z transform by using partial fraction 2z2 10 X()+ 10z-2)
Problem 1: Find the inverse Z -transform using the partial fraction expansion for the transfer function given as X(z (2z2 - 11z 12) (z 1)(z 2)3
Use the method of completing the square to find the partial fraction expansion and inverse transform. F(s) = (s+4)/(s^3+4*s^2+s)
3. Use partial-fraction expansion to find the inverse z-transform of the following. You need to simplify your results so that r{n] is a real signal. (a) 22 X(z) 2-1)(2-0.5)(2-2) EECS 50, Fall 2019 2 (b) X(2)2221
13.3 Using the partial fraction method, calculate the inverse z-transform of the following DT causal sequences: (i) X1(z) = 72 – 0.92 +0.2
inverse z-transform (2 Marks / Markah) 2. By using partial-fraction expansion, solve the inverse z-transform of the following functions: [Dengan menggunakan kembangan pecahan separa, selesaikan jelmaan-2 songsang pada fungsi-fungsi berikut: (1) X(z) = z(z + 3)(z+5) (z-0.4)(z-0.5)(z-0.8) (3 Marks / Markah) X(z) z! 3 - 4z"+z ; ROC; 121 > 1 (3 Marks / Markah) (iii) X(E)= (1-3 1-2 (1 - 2:') - :') (3 Marks / Markah) 2+3:-) (iv) X() = (-X (3 Marks / Markah)
Question 2 (25 Marks) 73-6 a Express 7- in partial fraction form and then Find the inverse Laplace transform of using the partial fraction obtained. b. Find the inverse Laplace tansforms of 2 c. Solve y(t) +y(t) cos 2t. y(o) 8 Marks] [8 Marks] 9 Marks] 23+5 0.y (o) 1 by using Laplace transform method.
Given 0.2 E(z) (z - 0.2)2(z2 0.6065) a) Use Partial fraction expansion to find the inverse, e(k) b) Use the power series method of inversion to find the first 7 samples of e(k) and verify with the answer from part (a) Given 0.2 E(z) (z - 0.2)2(z2 0.6065) a) Use Partial fraction expansion to find the inverse, e(k) b) Use the power series method of inversion to find the first 7 samples of e(k) and verify with the answer from...