3. Find and MATLAB-plot (-10 n 10) the inverse z-transforms of the following: (a) Xa(z)=TE 2(3-2)...
Using partial fractions or power series expansions, determine all possible inverse z-transforms of the following z-transforms, sketch their ROCs, and discuss their stability and causality properties: 10+z2 1+0.25z-
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)
Q1-20 points) a) Find the transform of the following signals and plot the ROC. 1 x(n)=(-0,357u(n-4)+(0.25?u(n+2) IL- x(n)=-cu-n-1) b) Find the Inverse Z-transform of: z(2-1.5) for (2-0.33)(2-0.5) ROC: z>0.5
Will give review, Thank! 10.33 Inverse Z-transform- Use symbolic MATLAB to find the inverse Z-transform of 2 -z 21 +0.25z(i +0.5z1 and determine x[n] as n → oo. 1080 Answers: xfn] = [-3(-0.25)" + 4(-0.5)"]u[n] 10.33 Inverse Z-transform- Use symbolic MATLAB to find the inverse Z-transform of 2 -z 21 +0.25z(i +0.5z1 and determine x[n] as n → oo. 1080 Answers: xfn] = [-3(-0.25)" + 4(-0.5)"]u[n]
Using MATLAB Use MATLAB to find the partial fraction expansions of the following: Hs(s +3)(s +4) tb) HG) (s17s2+79s +63) 3s +1 (a) G(S)-s +3s +2
The z-transform of a discrete variable y(k) is: 3z2-3z+z Y(z) = (z-1)(z²-1.6z+1) To find y(k) for k20 apply the following procedure: Solve a "z" a) Expand the resulting expression into two (2) partial fractions, the second fraction with the quadratic factor in the denominator must have a first order numerator of the form (Bz + C). Determine the unknown coefficient of the partial fractions. b) Return the "z" c) Using inverse z-transform pairs determine y(k) for k20 d)
Write matlab code to solve problem 10- Find the inverse Laplace transform using the Partial-Fraction Expansion method. 38+4 s(s+1) it il 4-e? 4-e-21 4-2e-4
Problem 7.1 (10 points) Express the unilateral z-transforms of the following functions as rational functions. Find also the ROC. You may use tables. (a) xl[n]-1-0.2)" (b) x2[n] (0.3)" +2(-5) -0.2n Problem 7.2 (10 points) Express the unilateral z-transforms of the following functions as rational functions. Find also the ROC. You may use tables. (a) xl[n] = 3e-j02" (b) x2[n]- 5cos(5n) (c) x3[n] = e-0.gn sin(0.7n) Problem 7.3 (10 points) The signals given are sampled every 0.3 s, beginning att-0. Find...
1. problem 2. and 3. as follows Find the inverse Laplace transforms of the following function: 2w7 F(s) = s($2 + 2Cwns + wa) "US 25 (0<5<1) Solve the following differential equation: * + 2wni+wn?x=0, (0) = a, (0) = b where a and b are constants, and 0 << < 1. Solve the following differential equation: ö + 3 + 40 = 2 sint, x(0) = 0, 0) = 0
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