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Suppose the input to a linear system is 8(t) and the output is tu(t) What is...
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output...
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
4. Let S be a linear, time-invariant, and causal system whose input x(t) and corresponding output...
4. Let S be a linear, time-invariant, and causal system whose input x(t) and corresponding output y(t) are shown below: r(t) Page 1 of 2 Please go to next page... y(t) ? (a) Find the impulse response function h(t) of ? (b) Find the output of S when its input is e*, t<0, t2, t20
2.10. Window/modulator Consider the system where for an input x(t) the output is y(t) = x(oft)...
2.10. Window/modulator Consider the system where for an input x(t) the output is y(t) = x(oft) for some function f(t). (a) Letf(t)=u(t)-11(t-10). Determine whether the system with input x(t) and output y(t)is linear, time invariant, and causal, Suppose x(t) = 4 cos(T/2), and f(t)=cos(67t/7) periodic? What frequencies are present in the output? Is this system linear? Is it time invariant? Explain. (b) and both are periodic. Is the output y(t) also (c) Let f(t) = u(t)-u (t-2) and the input...
A system is known to have the following input and output relationship. (y output, f input) s2 +3s...
A system is known to have the following input and output relationship. (y output, f input) s2 +3s +2 Create a Simulink model based on this system (Do not Use Transfer function block. Use Integrator (1/s) Gain block, and adder (or subtractor) for Transfer function.) The input f(t) is te05t. Plot two graphs - a) input vs. output and b) time vs. output (Use XY graph and scope)
A system is known to have the following input and output relationship....
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions a...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...
8) Find the output of an LTI system with the input x(t) with the sampling frequency...
8) Find the output of an LTI system with the input x(t) with the sampling frequency of fn = 10 Hz, and the filter/transfer function (el) below. x(t) = 2 + cos (2007t + ) + 2sin(1007t) Hew) = 1 + 2e1W + cos(2w)
For a continuous time linear time-invariant system, the input-output relation is the following (x(t) the input, y(t) the...
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
1. A circuit with input source waveform Xin(t) and output yout(t) has the system function 100(s...
1. A circuit with input source waveform Xin(t) and output yout(t) has the system function 100(s + 3) H(S) = 2 +65 +25 Find yout(t) if Xin(t) = tu(t) Solution:
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Dev...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
For a control system, its transfer function from the input to the output is H(s) =...
For a control system, its transfer function from the input to the output is H(s) = 4/ (s2 + 2s + 2 ) if the input is r(t) = u(t), the steady-state tracking error is . a. 0 b. 1. c. 2 d. −1 e. None
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
4. Let S be a linear, time-invariant, and causal system whose input x(t) and corresponding output y(t) are shown below: r(t) Page 1 of 2 Please go to next page... y(t) ? (a) Find the impulse response function h(t) of ? (b) Find the output of S when its input is e*, t<0, t2, t20
2.10. Window/modulator Consider the system where for an input x(t) the output is y(t) = x(oft) for some function f(t). (a) Letf(t)=u(t)-11(t-10). Determine whether the system with input x(t) and output y(t)is linear, time invariant, and causal, Suppose x(t) = 4 cos(T/2), and f(t)=cos(67t/7) periodic? What frequencies are present in the output? Is this system linear? Is it time invariant? Explain. (b) and both are periodic. Is the output y(t) also (c) Let f(t) = u(t)-u (t-2) and the input...
A system is known to have the following input and output relationship. (y output, f input) s2 +3s +2 Create a Simulink model based on this system (Do not Use Transfer function block. Use Integrator (1/s) Gain block, and adder (or subtractor) for Transfer function.) The input f(t) is te05t. Plot two graphs - a) input vs. output and b) time vs. output (Use XY graph and scope)
A system is known to have the following input and output relationship....
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...
8) Find the output of an LTI system with the input x(t) with the sampling frequency of fn = 10 Hz, and the filter/transfer function (el) below. x(t) = 2 + cos (2007t + ) + 2sin(1007t) Hew) = 1 + 2e1W + cos(2w)
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
1. A circuit with input source waveform Xin(t) and output yout(t) has the system function 100(s + 3) H(S) = 2 +65 +25 Find yout(t) if Xin(t) = tu(t) Solution:
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
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