Consider an LTI system for which the system (transfer) function H(s) has a zero at s=2...
Consider an LTI system for which the system (transfer) function H(s) has a zero at s=2 and poles at s=-12, -7, -6. If the system is known to be causal and stable, choose the ROC associated with the given system function. *
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Consider an LTI system for which the system (transfer) function
H(s) has a zero at s=2...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
5. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below....
5. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim y(t) = 5 , 00 Find H(s).
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the...
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
3. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below....
3. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im O--- Re (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim yết) = 5 , Find H(s). (d) (optional) Find y(2) (y(t) for t = 2).
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Sh...
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Show the direct-form block diagram of Hi(s) c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can draw...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
please show steps 4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output...
please show steps
4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output relation described by the LCCDE: -2y(t) - y0) + 3x(t) + deco (O) = (a) (5 pts) Find the transfer function H(s) and write it in factored form. (b) (5 pt) Sketch the ROC corresponding to H(s) if it is known the system is causal. Mark the poles and zeros. (c) (5 pts) Sketch the ROC corresponding to H(s) if it is known the...
р Question 3 Consider the transfer function, H(s), of a non-causal LTI system H(S) = s+2...
р Question 3 Consider the transfer function, H(s), of a non-causal LTI system H(S) = s+2 (8+3)(82 +8+5) (82–8+5) 1. Determine ROC for H(s) = = = xx, E P T
For the following transfer function of an LTI system: Q.3) For the following transfer function of an ITI system: 8-5 (a...
For the following transfer function of an LTI system:
Q.3) For the following transfer function of an ITI system: 8-5 (a) Sketch the pole-zero plot. (b) If the system is stable, determine the large Why. st pssible ROC. Is the systeu causal? Explairn (c) If the system is causal, determine the lar gest possible ROC. Is the system stable? Explain
Q.3) For the following transfer function of an ITI system: 8-5 (a) Sketch the pole-zero plot. (b) If the system...
Suppose that the system function of an LTI system is 1+z H(z)=7 (1-12 '\1-22-X1 - 3z-")...
Suppose that the system function of an LTI system is 1+z H(z)=7 (1-12 '\1-22-X1 - 3z-") (a) Determine the ROC of H(z) if it is known that the system is stable. (b) Determine the ROC of H(z) if it is known that the system is causal. (c) Is it possible for the system to be both stable and causal?
5. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim y(t) = 5 , 00 Find H(s).
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
3. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im O--- Re (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim yết) = 5 , Find H(s). (d) (optional) Find y(2) (y(t) for t = 2).
4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Show the direct-form block diagram of Hi(s) c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can draw...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
please show steps
4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output relation described by the LCCDE: -2y(t) - y0) + 3x(t) + deco (O) = (a) (5 pts) Find the transfer function H(s) and write it in factored form. (b) (5 pt) Sketch the ROC corresponding to H(s) if it is known the system is causal. Mark the poles and zeros. (c) (5 pts) Sketch the ROC corresponding to H(s) if it is known the...
р Question 3 Consider the transfer function, H(s), of a non-causal LTI system H(S) = s+2 (8+3)(82 +8+5) (82–8+5) 1. Determine ROC for H(s) = = = xx, E P T
For the following transfer function of an LTI system:
Q.3) For the following transfer function of an ITI system: 8-5 (a) Sketch the pole-zero plot. (b) If the system is stable, determine the large Why. st pssible ROC. Is the systeu causal? Explairn (c) If the system is causal, determine the lar gest possible ROC. Is the system stable? Explain
Q.3) For the following transfer function of an ITI system: 8-5 (a) Sketch the pole-zero plot. (b) If the system...
Suppose that the system function of an LTI system is 1+z H(z)=7 (1-12 '\1-22-X1 - 3z-") (a) Determine the ROC of H(z) if it is known that the system is stable. (b) Determine the ROC of H(z) if it is known that the system is causal. (c) Is it possible for the system to be both stable and causal?
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