![An LTIC system has a step response given by s()- (ee2) u() A] Use the Laplace transform to find the impulse response B] Determine the steady-state response (a long time after 0) to the input x(t) ?(t-?)-cos(2t) u(t) C] Realize this system using direct form II](http://img.homeworklib.com/questions/0020efc0-af4d-11ea-88f1-e16e0d3094ad.png?x-oss-process=image/resize,w_560)
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An LTIC system has a step response given by s()- (ee2) u() A] Use the Laplace...
Problem 3. Consider an LTIC system S. whose response to the unit-step function u(t) is as...
Problem 3. Consider an LTIC system S. whose response to the unit-step function u(t) is as follows Slu(t)] Moreover, let the following input signal (t) go through the same LTIC system: r(t) 3 -2 1 Can you sketch/compute the output y(t) of the LTIC system S] to the input r(t) without using the impulse-response function h(t) of the system? Justify your answer!
signal and system 8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 d...
signal and system
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the...
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the steady-state system response to a. 10u(t) b. cos (2+ + 60°) (1) c. sin (3 - 45")u(t) d. e3 u(t)
In a continuous-time system, the laplace transform of the input X(s) and the output Y(s) are...
In a continuous-time system, the laplace transform of the input X(s) and the output Y(s) are related by Y(s) = 2 (s+2)2 +10 a) If x(t) = u(t), find the zero-state response of the system, yzs(1). yzs() = b) Find the zero-input response of the system, yzi(t). Yzi(t) = c) Find the steady-state solution of the system, yss(t). Yss(t) =
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse...
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
Consider a continuous-time LTI system impulse response h(t) as given below. h(t) = 2/3 e^-tu(t)-1/3 e^2t...
Consider a continuous-time LTI system impulse response h(t) as given below. h(t) = 2/3 e^-tu(t)-1/3 e^2t u(-t) (a) Determine Laplace Transform H(s) of h(t). Determine and clearly sketch its ROC. (b) Is it possible to find the Fourier Transform H(j!) of h(t) by using Laplace Transform? If possible, determine H(j!). Why, or why not? Explain. (c) Is this system causal? Is this system stable? Explain your answers.
7. Find the zero-state response of the input signal r(t) = ej2t for the LTIC system...
7. Find the zero-state response of the input signal r(t) = ej2t for the LTIC system with the unit impulse response h(t) = e-tu(t).
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we...
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...
Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to ...
Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5)
Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5)
QUESTION 2 (12 marks) The step response of an LTI system is given by g(t) =...
QUESTION 2 (12 marks) The step response of an LTI system is given by g(t) = (1 - e-3t)u(t) (a) Determine the impulse response, h(t), of the system. (b) Use the linearity and time invariance properties to determine the response of the system to the input x(t) = 38(t) + 2u(t – 2). (c) Determine the frequency response of the system H(jw). [Hint: Use the tables in the formula sheet]. (d) Hence determine the output y(t) for the input signal...
Problem 3. Consider an LTIC system S. whose response to the unit-step function u(t) is as follows Slu(t)] Moreover, let the following input signal (t) go through the same LTIC system: r(t) 3 -2 1 Can you sketch/compute the output y(t) of the LTIC system S] to the input r(t) without using the impulse-response function h(t) of the system? Justify your answer!
signal and system
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the steady-state system response to a. 10u(t) b. cos (2+ + 60°) (1) c. sin (3 - 45")u(t) d. e3 u(t)
In a continuous-time system, the laplace transform of the input X(s) and the output Y(s) are related by Y(s) = 2 (s+2)2 +10 a) If x(t) = u(t), find the zero-state response of the system, yzs(1). yzs() = b) Find the zero-input response of the system, yzi(t). Yzi(t) = c) Find the steady-state solution of the system, yss(t). Yss(t) =
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
7. Find the zero-state response of the input signal r(t) = ej2t for the LTIC system with the unit impulse response h(t) = e-tu(t).
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...
Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5)
Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5)
QUESTION 2 (12 marks) The step response of an LTI system is given by g(t) = (1 - e-3t)u(t) (a) Determine the impulse response, h(t), of the system. (b) Use the linearity and time invariance properties to determine the response of the system to the input x(t) = 38(t) + 2u(t – 2). (c) Determine the frequency response of the system H(jw). [Hint: Use the tables in the formula sheet]. (d) Hence determine the output y(t) for the input signal...
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