4. Suppose the following facts are given about the signal x(t) with Laplace transform X(s):(a) x(t) is real and even.(b) X(s) has four poles and no zeros in the finite s-plane.(c) X(s) has a pole at s = (1/2)ejπ/4.(d) fx x(t)dt = 4.Determine X(s) and its ROC.

Answered: Image /qna-images/answer/2bf2bdb9-0fe7-4c43-af02-18ea0f3d8a02.jpg

Answered: 4. Suppose the following facts are…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Q1 Find the z transform for each of the following sequences: a) 3u(n-4) b) 2(-0.5)nu(n) c) 4e-2nu(n) d) 4(0.8) "cos (0.1лn)u(n) Q2 Given the two sequences x₁(n)= -28(n)+58(n-2) and x2(n)= 48(n-4) a) Let x3(n) = x₁(n) * x2 (n) Determine the Z transform of x3(n) b) Find x3(n) using the inverse transform of X3(z). Q3 Using the Z-transform properties and the Z-transform table find the inverse Z- transform for each of the following sequences a) 5- (7z/z+1) - (3z/z-0.5) b) (-3z/(z-0.5)) +[ 8z/(z−0.8)]+ [2z/(z-0.8)²] c) 3z/(z²+1.414z+1) d) (5z %/z-1)-[ z^²/(z−1)²] + [z −¹⁰0] + [z ³/z-0.75] Q4 Use partial fraction expansion, Find the inverse Z-transform of the following: a) [1/(z²+0.5z+0.06)] b) z/[(z+0.3)(z-0.5)] c) 5z/[(z-0.75) (z²-z+0.5)] d) 2z(z-0.4)/[(z-0.2)²(z+0.8)] Q5 A system is described by the following difference equation y(n)-0.5y(n-1) +0.06y(n-2)= (0.4)n-1u(n-1) Determine the solution when the initial conditions are y(-1) = 1 and y(-2)=2.
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9. Find the Laplace transform of the waveform shown below a) b) Answer: a) F(s) =[1- e-s - e-3s - e-1$] b) F(s) = [e¬s + e-25 + e-3$ + e-4s - 4e-5s1 %3D
Handwrite and step by step solutions
(a) Find the bilateral Laplace transform and ROC of the signal x (t) = 2e 4u(t+ 2) + 3e"u(-t) using the definition. (b) Find the bilateral Laplace transform and ROC of the signal x(t) = 7e u(-t) – e2 u(-t +1) using LT table and properties Your Answer: Answer
Determine the Laplace transform of the following function using the definition and/or L.T. properties. Ifusing LT properties, indicate which property you are using. For all functions, assume f(t)=0, t<0
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E) F) The convolution of x(t) with y(t) is commutative results in a function that does not have a Laplace Transform is p0a nonlinear operation involves a change from the time domain to the frequency domain. Which of the following can be used t-o replace sin(x) for small values of x? OC 1 1-x 1+x O x-2
1. Find the inverse Laplace Transform of the following function below. 10s² + 4 s (s+1)(s+2)? xii. F(s) = xiii. F(s) %3D s (s? + 6s + 9) 3s + 2 s² + 3s + 2 xiv. F(s) = %3D
Express the function below using window and step functions and compute its Laplace transform. 2190 Q 0- 5x 16 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. A. g(t)= (sin 8t)u t-- (sin 8t)u (1-56) OB. 9(t)=11 sin (81) OC, 9(t) = (sin 8t)II 5x (t) + (sin 8t)u t- 0.7 16 salt) 0.16 I OD. g(t)=(cos 8t)u t-- : 8tu (1-556) 16 Compute the Laplace transform of g(t). L(g) = (Type an expression using s as the variable.)
please do 1 and 2 in MATLAB,will give like
2- Find the z transform of the following two functions: (a) x₁(n) = n(0.5)"-2u(n) (b) x2 (n) = (0.5)"u(n-2)

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4. Suppose the following facts are given about the signal x(t) with Laplace transform X(s): (a) x(t) is real and even. (b) X(s) has four poles and no zeros in the finite s-plane. (c) X(s) has a pole at s = (1/2)ejπ/4. (d) fx x(t)dt = 4. Determine X(s) and its ROC.