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![sola É Ctl = concbt) utt) By Takay lapoce Fiso = 52462 S S2 + 62 oko [since it is left sided sinal] we know that or coscelt S](http://img.homeworklib.com/questions/cede93c0-051e-11eb-be85-819ad80fdc1d.png?x-oss-process=image/resize,w_560)
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Laplace Transform
Problem 1: Concept Questions, Provide a short succinct answer to each question or circle...
12 Problem la (10 points) Find the inverse Laplace transform of: Fo(s) the ROC is defined...
12 Problem la (10 points) Find the inverse Laplace transform of: Fo(s) the ROC is defined as: -12 < Re(s) <0 Identify terms as right sided or left sided. 8 +- If S S+12 Re(s)< 0 Re(s) >-12 X X -12 0 Problem lb (2 points) Circle one: The function f(t) Is: causal anti-causal not causal Explain why: Given the unilateral Laplace transform of the impulse response for a causal system H(S) = Determine h(t) the impulse response? Hint synthetic...
Signal and Systems 8 + If Problem la (10 points) Find the inverse Laplace transform of:...
Signal and Systems
8 + If Problem la (10 points) Find the inverse Laplace transform of: Fo(s) 12 the ROC is defined as: -12 <Re(s) <0 Identify terms as right sided or left sided. S+12 Re(s) < 0 Re(s) >-12 Х X -12 0 Problem 1b (2 points) Circle one: The function f(t) Is: causal anti-causal not causal Explain why:
8 + If Problem la (10 points) Find the inverse Laplace transform of: Fo(s) 12 the...
8 + If Problem la (10 points) Find the inverse Laplace transform of: Fo(s) 12 the ROC is defined as: -12 <Re(s) <0 Identify terms as right sided or left sided. S+12 Re(s) < 0 Re(s) >-12 Х X -12 0 Problem 1b (2 points) Circle one: The function f(t) Is: causal anti-causal not causal Explain why:
16. Given f(t) = 2e-tu(t) + 4u(-t) a) Using the Unilateral Laplace Transform table and the...
16. Given f(t) = 2e-tu(t) + 4u(-t) a) Using the Unilateral Laplace Transform table and the procedure described in class and the text, determine the Bilinear Laplace Transform Fb (s) and sketch the region of convergence (ROC) in the s-plane showing poles. State the ROC as an inequality. b) Another function is added so that fa(t) = 2e-u(t) + 4u(-t) + 4e -0.5t u(t). Find the Bilinear Laplace Transform and sketch the region of convergence in s-plane also showing poles.
Laplace Transform 12 12 + s+12 s+8 Problem 4 (15 points) : Find the inverse Laplace...
Laplace Transform
12 12 + s+12 s+8 Problem 4 (15 points) : Find the inverse Laplace transform of: Fo(s) a) If the ROC is defined as: -12 < Re(s)<-8 b) If the ROC is defined as: Re(s) > -8
PLEASE SOLVE FULL PROBLEM 2. Derive the time domain representations of the following Laplace transform expressions...
PLEASE SOLVE FULL PROBLEM
2. Derive the time domain representations of the following Laplace transform expressions based on the given ROCs ROC: Refs) > 0, (b) x(s)= 2 , ROC : Re(s) <-1, (c) x(s) = , ROC : 0 < Re(s) < 1, Hint: Try not to use the inverse Laplace transform formula. Expand each expression into partial fractions and determine time domain representations based on the chart and given ROCs
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal...
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t) cannot be computed...
7.2.6 Question Help Let fit) be a function on [O, oo) The Laplace transform of f...
7.2.6 Question Help Let fit) be a function on [O, oo) The Laplace transform of f is the function F defined by the integral F(s)-t)dt. Use this definition to determine the Laplace transform of the following function f(t)cos bt, b a constant The Laplace transform of f(t) is F(s): D Пре an expression using s as the variable ) It is defined for s > □ (Type an integer or a fraction )
Signal and Systems Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response...
Signal and Systems
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t)...
please solve this with clear answer and details Find the Laplace transform of the following signals...
please solve this with clear answer and details
Find the Laplace transform of the following signals and in each case determine the corresponding region of convergence: 3.4 (a) (b) the signal x(t)=e-ulu(t)-eatu-t)when (i) α > 0, (ii) α→0, a sampled signal Xi (t) = e (t n) CHAPTER 3: The Laplace Transform (c) the "stairs to heaven" signal (d) the sinusoidal signal r(t) [cos(2(1-1)) + sin(2π1)]a(1-1), (e) the signal y(t)=t2e-21 u(t) using that x(t)=tathasx(s)=2/s. Answers: (a) As α → 0,x(t)...
12 Problem la (10 points) Find the inverse Laplace transform of: Fo(s) the ROC is defined as: -12 < Re(s) <0 Identify terms as right sided or left sided. 8 +- If S S+12 Re(s)< 0 Re(s) >-12 X X -12 0 Problem lb (2 points) Circle one: The function f(t) Is: causal anti-causal not causal Explain why: Given the unilateral Laplace transform of the impulse response for a causal system H(S) = Determine h(t) the impulse response? Hint synthetic...
Signal and Systems
8 + If Problem la (10 points) Find the inverse Laplace transform of: Fo(s) 12 the ROC is defined as: -12 <Re(s) <0 Identify terms as right sided or left sided. S+12 Re(s) < 0 Re(s) >-12 Х X -12 0 Problem 1b (2 points) Circle one: The function f(t) Is: causal anti-causal not causal Explain why:
8 + If Problem la (10 points) Find the inverse Laplace transform of: Fo(s) 12 the ROC is defined as: -12 <Re(s) <0 Identify terms as right sided or left sided. S+12 Re(s) < 0 Re(s) >-12 Х X -12 0 Problem 1b (2 points) Circle one: The function f(t) Is: causal anti-causal not causal Explain why:
16. Given f(t) = 2e-tu(t) + 4u(-t) a) Using the Unilateral Laplace Transform table and the procedure described in class and the text, determine the Bilinear Laplace Transform Fb (s) and sketch the region of convergence (ROC) in the s-plane showing poles. State the ROC as an inequality. b) Another function is added so that fa(t) = 2e-u(t) + 4u(-t) + 4e -0.5t u(t). Find the Bilinear Laplace Transform and sketch the region of convergence in s-plane also showing poles.
Laplace Transform
12 12 + s+12 s+8 Problem 4 (15 points) : Find the inverse Laplace transform of: Fo(s) a) If the ROC is defined as: -12 < Re(s)<-8 b) If the ROC is defined as: Re(s) > -8
PLEASE SOLVE FULL PROBLEM
2. Derive the time domain representations of the following Laplace transform expressions based on the given ROCs ROC: Refs) > 0, (b) x(s)= 2 , ROC : Re(s) <-1, (c) x(s) = , ROC : 0 < Re(s) < 1, Hint: Try not to use the inverse Laplace transform formula. Expand each expression into partial fractions and determine time domain representations based on the chart and given ROCs
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t) cannot be computed...
7.2.6 Question Help Let fit) be a function on [O, oo) The Laplace transform of f is the function F defined by the integral F(s)-t)dt. Use this definition to determine the Laplace transform of the following function f(t)cos bt, b a constant The Laplace transform of f(t) is F(s): D Пре an expression using s as the variable ) It is defined for s > □ (Type an integer or a fraction )
Signal and Systems
Problem 2 (3 points) Given the unilateral Laplace transform of the impulse response for a causal system H(s) Determine h(t) the impulse response? Hint synthetic division! (s+10) 40 t-10 Problem 3 a) (2 points) What is the initial value of time function f(t) corresponding to the one sided Laplace Transform F(s) = (i.e. f(t) is causal) s(s+10)(2+4) lim f(t) = 0 40 lim f(t) = 1. t-0 10 x 4 lim f(t) = 0 t-0 lim f(t)...
please solve this with clear answer and details
Find the Laplace transform of the following signals and in each case determine the corresponding region of convergence: 3.4 (a) (b) the signal x(t)=e-ulu(t)-eatu-t)when (i) α > 0, (ii) α→0, a sampled signal Xi (t) = e (t n) CHAPTER 3: The Laplace Transform (c) the "stairs to heaven" signal (d) the sinusoidal signal r(t) [cos(2(1-1)) + sin(2π1)]a(1-1), (e) the signal y(t)=t2e-21 u(t) using that x(t)=tathasx(s)=2/s. Answers: (a) As α → 0,x(t)...
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