What is the relationship between the impulse response and transfer function of a system? Briefly justify...
What is the relationship between the impulse response and transfer function of a system? Briefly justify your answer.
Homework Answers
Answer: If S(h) is the transfer function of a system then the impulse function of the system would be S(t) and S(t) is the Inverse laplase transformation of S(h).
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What is the relationship between the impulse response and
transfer function of a system? Briefly justify...
Find the system transfer function of a causal LSI system whose impulse response is given by...
Find the system transfer function of a causal LSI system whose impulse response is given by h[n]=(−0.55)n−1 sin[3.7 (n−2)] u [n−2].
1. An LTI system has the transfer function (or frequency response) H(u)- a) What is the...
1. An LTI system has the transfer function (or frequency response) H(u)- a) What is the magnitude of H()? b) What is the phase of H(u)? c) Determine the impulse response of this system. d) Find the differential equation between the input and output of this system. e) What is the output of the system to the input x()c
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
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system 2. Consider a linear time-invariant system with transfer f...
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
a) The transfer function of an ideal low-pass filter is and its impulse response is where...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
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?
The impulse response of a filter is h[n] - (-0.75)"(u[n-1) -un-4]). What is the transfer function...
The impulse response of a filter is h[n] - (-0.75)"(u[n-1) -un-4]). What is the transfer function of the filter?
4. (2 marks) Determine (i) the Laplace transfer function, (ii) the impulse response function, and (ii)...
4. (2 marks) Determine (i) the Laplace transfer function, (ii) the impulse response function, and (ii) the input-output relationship (in the form of a linear constant-coefficient differential equation) for the causal LTI systems with the input-output pairs: a) x(t)-41(t) and y(t)-tu(t) + e-2tu(t). b) x() e2tu(t) andy(t)2u(t-4).
QUESTION 1 Consider a system of impulse response h[n] of transfer function H(z) with distinct poles...
QUESTION 1 Consider a system of impulse response h[n] of transfer function H(z) with distinct poles and zeros. We are interested in a system whose transfer function G(z) has the same poles and zeros as H(z) but doubled (meaning that each pole of H(z) is a double pole of G(z), and same for the zeros). How should we choose g[n]? g[n]=h[n]+h[n] (addition) g[n]=h[n].h[n] (multiplication) g[n]=h[n]th[n] (convolution) None of the above
The transfer function of an ideal low-pass filter is given by: 4. a) i Prove that its impulse response is given by: a s...
The transfer function of an ideal low-pass filter is given by: 4. a) i Prove that its impulse response is given by: a sin(na) π (na) where (Q is the cut-off frequency [-consoo] ii Is hIn] a FIR or an IIR filter? Is it causal or anti-causal filter? Explain 3 your answer. iii) If g. 0.1 π, plot the magnitude responses for the following impulse responses:
The transfer function of an ideal low-pass filter is given by: 4. a) i...
1. An LTI system has the transfer function (or frequency response) H(u)- a) What is the magnitude of H()? b) What is the phase of H(u)? c) Determine the impulse response of this system. d) Find the differential equation between the input and output of this system. e) What is the output of the system to the input x()c
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
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
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?
The impulse response of a filter is h[n] - (-0.75)"(u[n-1) -un-4]). What is the transfer function of the filter?
4. (2 marks) Determine (i) the Laplace transfer function, (ii) the impulse response function, and (ii) the input-output relationship (in the form of a linear constant-coefficient differential equation) for the causal LTI systems with the input-output pairs: a) x(t)-41(t) and y(t)-tu(t) + e-2tu(t). b) x() e2tu(t) andy(t)2u(t-4).
QUESTION 1 Consider a system of impulse response h[n] of transfer function H(z) with distinct poles and zeros. We are interested in a system whose transfer function G(z) has the same poles and zeros as H(z) but doubled (meaning that each pole of H(z) is a double pole of G(z), and same for the zeros). How should we choose g[n]? g[n]=h[n]+h[n] (addition) g[n]=h[n].h[n] (multiplication) g[n]=h[n]th[n] (convolution) None of the above
The transfer function of an ideal low-pass filter is given by: 4. a) i Prove that its impulse response is given by: a sin(na) π (na) where (Q is the cut-off frequency [-consoo] ii Is hIn] a FIR or an IIR filter? Is it causal or anti-causal filter? Explain 3 your answer. iii) If g. 0.1 π, plot the magnitude responses for the following impulse responses:
The transfer function of an ideal low-pass filter is given by: 4. a) i...
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