respone y(t)
obtain the response y(t) of the system :
Homework Answers
The input-output relationship for a system is ¨y(t) + ˙y(t) = x(t). (a) Find the impulse...
The input-output relationship for a system is ¨y(t) + ˙y(t) = x(t). (a) Find the impulse response of the system. (b) Find the zero-state response when the input is a unit step. (c) Find the zero-state response when the input is x(t) = 1.6u(t) − 0.6u(t − 1).
3) The signal y(t) is the step response of a LTl system. Answer the following questions and justify your answer. y(t) a...
3) The signal y(t) is the step response of a LTl system. Answer the following questions and justify your answer. y(t) a) What would be the impulse response of the system? b) Is the system stable system or not?
3) The signal y(t) is the step response of a LTl system. Answer the following questions and justify your answer. y(t) a) What would be the impulse response of the system? b) Is the system stable system or not?
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1...
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system.
5- For the following system: x(
Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
a) Two bandpass signals are added together. j2rfet j2Tfet y(t)-Re y(t)e v(t)-x(t) y(t) v(t) may be represented as, What...
a) Two bandpass signals are added together. j2rfet j2Tfet y(t)-Re y(t)e v(t)-x(t) y(t) v(t) may be represented as, What is v(t) as a function of (t) and y(t)? b) Suppose that a bandpass filter with centre frequency f has an impulse response h(t). Since h(t) is a bandpass function, it has the complex envelope representation, h (t) = Re[h(t)e'2n4 ], where h(t ) is the complex envelope of h (t) Suppose that s(t) is filtered with the filter with impulse...
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a ...
Matlab code for the following problems.
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot...
4- Find unit impulse response for: y(t) + 4у(t) + 3y(t)-x(t) + 5x(t) 5- Find the...
4- Find unit impulse response for: y(t) + 4у(t) + 3y(t)-x(t) + 5x(t) 5- Find the total response for: ý(t) 13(t) 22y(t)-(t) +5x(t) x(t) e-Stu(t) With the initial condition y(0) 2 and y(0)-3 Identify the natural and forced response of the system. 6- Find the total response for: y(t) +2y(t) 17y(t) 4x(t) 8x(t) x(t) = e-Hu(t)
3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic...
3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the zero-input response yo(t). Simplify your answer
3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the...
An LT-I system with the following differential equation y’(t) + 3 y(t) = x(t) has a...
An LT-I system with the following differential equation y’(t) + 3 y(t) = x(t) has a Zero State Response of yzsr(t) = -2 exp(-5t) u(t) + 2 exp(-3t) u(t) when an input signal: x(t) = 4 exp(-5t) u(t) is applied to the system. What is the Zero State Response of the following system beginning at time t = 0 seconds, y’(t) + 3 y(t) = x’(t) -2 x(t) if the same input signal is applied to the system, and it...
Problem 4: Evaluation of the convolution integral too y(t) = (f * h)(t) = f(t)h(t –...
Problem 4: Evaluation of the convolution integral too y(t) = (f * h)(t) = f(t)h(t – 7)dt is greatly simplified when either the input f(t) or impulse response h(t) is the sum of weighted impulse functions. This fact will be used later in the semester when we study the operation of communication systems using Fourier analysis methods. a) Use the convolution integral to prove that f(t) *8(t – T) = f(t – T) and 8(t – T) *h(t) = h(t...
Problem 4. Given the input/output system represented by t-1 y(t) = 2 ( x(y - 3)...
Problem 4. Given the input/output system represented by t-1 y(t) = 2 ( x(y - 3) dy where x(t) is the input and y(t) is the output, a) Determine whether the system is linear or non-linear. b) Determine the impulse response h(t, to) of the system by setting x(t)= 8(t–to). c) Determine whether the system is time invariant or time variant. d) Determine whether the system is causal or non-causal.
3) The signal y(t) is the step response of a LTl system. Answer the following questions and justify your answer. y(t) a) What would be the impulse response of the system? b) Is the system stable system or not?
3) The signal y(t) is the step response of a LTl system. Answer the following questions and justify your answer. y(t) a) What would be the impulse response of the system? b) Is the system stable system or not?
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system.
5- For the following system: x(
Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
a) Two bandpass signals are added together. j2rfet j2Tfet y(t)-Re y(t)e v(t)-x(t) y(t) v(t) may be represented as, What is v(t) as a function of (t) and y(t)? b) Suppose that a bandpass filter with centre frequency f has an impulse response h(t). Since h(t) is a bandpass function, it has the complex envelope representation, h (t) = Re[h(t)e'2n4 ], where h(t ) is the complex envelope of h (t) Suppose that s(t) is filtered with the filter with impulse...
Matlab code for the following problems.
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot...
4- Find unit impulse response for: y(t) + 4у(t) + 3y(t)-x(t) + 5x(t) 5- Find the total response for: ý(t) 13(t) 22y(t)-(t) +5x(t) x(t) e-Stu(t) With the initial condition y(0) 2 and y(0)-3 Identify the natural and forced response of the system. 6- Find the total response for: y(t) +2y(t) 17y(t) 4x(t) 8x(t) x(t) = e-Hu(t)
3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the zero-input response yo(t). Simplify your answer
3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the...
Problem 4: Evaluation of the convolution integral too y(t) = (f * h)(t) = f(t)h(t – 7)dt is greatly simplified when either the input f(t) or impulse response h(t) is the sum of weighted impulse functions. This fact will be used later in the semester when we study the operation of communication systems using Fourier analysis methods. a) Use the convolution integral to prove that f(t) *8(t – T) = f(t – T) and 8(t – T) *h(t) = h(t...
Problem 4. Given the input/output system represented by t-1 y(t) = 2 ( x(y - 3) dy where x(t) is the input and y(t) is the output, a) Determine whether the system is linear or non-linear. b) Determine the impulse response h(t, to) of the system by setting x(t)= 8(t–to). c) Determine whether the system is time invariant or time variant. d) Determine whether the system is causal or non-causal.
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