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Derive a difference equation for the discrete-time system shown below in block diagram form. 1.8. -...
For a causal LTI discrete-time system described by the difference equation:
For a causal LTI discrete-time system described by the difference equation: y[n] + y[n – 1] = x[n] a) Find the transfer function H(z).b) Find poles and zeros and then mark them on the z-plane (pole-zero plot). Is this system BIBO? c) Find its impulse response h[n]. d) Draw the z-domain block diagram (using the unit delay block z-1) of the discrete-time system. e) Find the output y[n] for input x[n] = 10 u[n] if all initial conditions are 0.
discrete time signals and systems causal LTI system has the block diagram: (a) find a difference...
discrete time signals and systems
causal LTI system has the block diagram:
(a) find a difference equation relating y[n] and x[n]
(b) determine if the system is stable
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1. Consider the system shown in the block diagram below. xn Σ vin) UTD UTD a)...
1. Consider the system shown in the block diagram below. xn Σ vin) UTD UTD a) Write the difference equation for this system in advance form. b) Assuming y[0]-y[1]-1, what is the ZIR? c) What is the impulse response for this system? d) What is the step response for this system?
Bonus Question) A discrete-time LTI system with a sampling frequency of Ukm2 is shown in the...
Bonus Question) A discrete-time LTI system with a sampling frequency of Ukm2 is shown in the following Figure. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear vain factors of ar or bi where i is 0,1 or 2. i) Derive the system transfer function H(2). ü) Find the difference equation relating the output y[n] and input x[n]. iii) Given that...
11.13. Consider the block diagram of Figure P11.13 for a discrete-time system. Use the root-locus...
signals and systems help
11.13. Consider the block diagram of Figure P11.13 for a discrete-time system. Use the root-locus method to determine the values of K for which the system is guaranteed to be stable. yIn] 4 Figure P11.13
11.13. Consider the block diagram of Figure P11.13 for a discrete-time system. Use the root-locus method to determine the values of K for which the system is guaranteed to be stable. yIn] 4 Figure P11.13
A discrete-time LTI system with a cumpling frequency of 8kHz is shown in Figure 4.1. The...
A discrete-time LTI system with a cumpling frequency of 8kHz is shown in Figure 4.1. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear gain factors of or by, where i is 0, 1 or 2 a) Derive the system transfer function H(z). b) Find the difference equation relating the output y[n) and input x[n). c) Given that the gain values...
An LTI system has the signal flow graph shown below. Answer the following related questions. .3 a...
An LTI system has the signal flow graph shown below. Answer the following related questions. .3 a) Determine the relation(i.e., difference equation) between x[n] and w[n] b) Determine the relation (i.e., difference equation) between win] and y[n] c) Determine the difference equation of the above system (i.e., overall system) d) Determine the system function of the overall system. Plot the pole-zero diagram. If this is known to be a non-causal and non-stable system, indicate the ROC. e) Draw the direct...
Derive the state equation, state table and the state diagram of the sequential circuit shown in the following figure
Q1. Derive the state equation, state table and the state diagram of the sequential circuit shown in the following figure. Explain the function that the circuit performs.Q2. a. Show the general block diagram for Mealy and Moore machine. b. What is the difference between serial and parallel transfer? What is the difference between the type of register used while converting serial data to parallel and vice versa.
Derive the equation of motion and find the natural frequency of the system shown below (1)...
Derive the equation of motion and find the natural frequency of the system shown below (1) Cylinder, mass m k R с Pure rolling 1 Αν B I US EE Draw a free body diagram (FBD) with all the forces. Use either Newton's or Lagrange's energy method to derive the equation of motion - Calculate the natural frequency
Homework Quiz #10 Consider the system shown in the block diagram below Convert the block diagram...
Homework Quiz #10 Consider the system shown in the block diagram below Convert the block diagram representation into the state space representation by find coefficients of the A, B, C, and D matrices and vectors, using the state variables given in the diagram (a) ing the (b) Determine the controllability and observability of the system.
discrete time signals and systems
causal LTI system has the block diagram:
(a) find a difference equation relating y[n] and x[n]
(b) determine if the system is stable
// هبه ۸[u] [u]x
1. Consider the system shown in the block diagram below. xn Σ vin) UTD UTD a) Write the difference equation for this system in advance form. b) Assuming y[0]-y[1]-1, what is the ZIR? c) What is the impulse response for this system? d) What is the step response for this system?
Bonus Question) A discrete-time LTI system with a sampling frequency of Ukm2 is shown in the following Figure. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear vain factors of ar or bi where i is 0,1 or 2. i) Derive the system transfer function H(2). ü) Find the difference equation relating the output y[n] and input x[n]. iii) Given that...
signals and systems help
11.13. Consider the block diagram of Figure P11.13 for a discrete-time system. Use the root-locus method to determine the values of K for which the system is guaranteed to be stable. yIn] 4 Figure P11.13
11.13. Consider the block diagram of Figure P11.13 for a discrete-time system. Use the root-locus method to determine the values of K for which the system is guaranteed to be stable. yIn] 4 Figure P11.13
A discrete-time LTI system with a cumpling frequency of 8kHz is shown in Figure 4.1. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear gain factors of or by, where i is 0, 1 or 2 a) Derive the system transfer function H(z). b) Find the difference equation relating the output y[n) and input x[n). c) Given that the gain values...
An LTI system has the signal flow graph shown below. Answer the following related questions. .3 a) Determine the relation(i.e., difference equation) between x[n] and w[n] b) Determine the relation (i.e., difference equation) between win] and y[n] c) Determine the difference equation of the above system (i.e., overall system) d) Determine the system function of the overall system. Plot the pole-zero diagram. If this is known to be a non-causal and non-stable system, indicate the ROC. e) Draw the direct...
Derive the equation of motion and find the natural frequency of the system shown below (1) Cylinder, mass m k R с Pure rolling 1 Αν B I US EE Draw a free body diagram (FBD) with all the forces. Use either Newton's or Lagrange's energy method to derive the equation of motion - Calculate the natural frequency
Homework Quiz #10 Consider the system shown in the block diagram below Convert the block diagram representation into the state space representation by find coefficients of the A, B, C, and D matrices and vectors, using the state variables given in the diagram (a) ing the (b) Determine the controllability and observability of the system.
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