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1. The transfer function of a BIBO stable discrete system...
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.
A discrete-time LTI system has the system function H(z) given below:
A discrete-time LTI system has the system function \(H(z)\) given below:$$ H(z)=\frac{z^{2}}{z^{2}-\frac{1}{4}} $$(a) Sketch the pole-zero plot for this system. How many possible regions of convergence (ROCs) are there for \(H(z)\). List the possible ROCs and indicate what type of sequence (left-sided, right-sided, two-sided, finite-length) they correspond to.(b) Which ROC (or ROCs) correspond to a stable system? Why?(c) Which ROC (or ROCs) correspond to a causal system? Why?(d) Write a difference equation that relates the input to the output of...
A discrete-time LTI system has the system function H(z) given below: 2 H(z (a) Sketch the...
A discrete-time LTI system has the system function H(z) given below: 2 H(z (a) Sketch the pole-zero plot for this system. How many possible (ROCs) are there for H(z). List the possible ROCs and indicate what type of sequence (left-sided, right-sided, two-sided, finite-length) they correspond to (b) Which ROC (or ROCs) correspond to a stable system? Why? (c) Which ROC (or ROCs) correspond to a causal system? Why? (d) Write a difference equation that relates the input to the output...
1. A discrete-time LTI system has the system function H() given below: (a) Sketch the pole-zero...
1. A discrete-time LTI system has the system function H() given below: (a) Sketch the pole-zero plot for this system How many possible regions of convergence (ROCs) are there for H(). List the possible ROCs and indicate what type of sequence (left-sided, right-sided, two-sided, finite-length) they correspond to. (b) Which ROC (or ROCs) correspond to a stable system Why? (c) Which ROC (or ROCs) correspond to a causal system? Why? (d) Write a difference equation that relates the input to...
Please show all steps! Much appreciated, thank you! |6. as pout) The frequeney response for Fourier...
Please show all steps! Much appreciated, thank
you!
|6. as pout) The frequeney response for Fourier transfar of isimpulse resporse h system of a systkem all-pass filter thal pases all called Such ar in gain but changes the phase reletinship between various frequecies |) Pleuse prove H Gjw = A (constant) and find the actual value of A. s the transfer funtin Hs) of the causa! system" Fiad al the poles and pole ) what zeros and make plot to...
A causal discrete-time LTI system is described by the equation
A causal discrete-time LTI system is described by the equationwhere z is the input signal, and y the output signal y(n) = 1/3x(n) + 1/3x(n -1) + 1/3x(n - 2) (a) Sketch the impulse response of the system. (b) What is the dc gain of the system? (Find Hf(0).) (c) Sketch the output of the system when the input x(n) is the constant unity signal, x(n) = 1. (d) Sketch the output of the system when the input x(n) is the unit step signal, x(n)...
ECE 2713 Homework 6 Spring 2019 Dr. Havlicek 1. Text problem P-7.3. (the problem is shown on page...
ECE 2713 Homework 6 Spring 2019 Dr. Havlicek 1. Text problem P-7.3. (the problem is shown on page 3) 2. Text problem P.7.8, parts (a), (b), and (d) only. (the problem is shown on page 3) 3. A discrete-time ITI system H has input rjnl and output vinl related by the linear constant coefficient difference equation (a) Find the transfer function H(z) a n find thefunctionalform of H(s) Note: yo but in this part you do not yet have enough...
Please show all the steps clearly. Find the system transfer function of a causal LSI system...
Please show all the steps clearly.
Find the system transfer function of a causal LSI system whose impulse response is given by 2. 0.5)"l sin[0.5(n- 2)]u[n - 2] and express the result in positive powers of z. 72-1 h[n] = Hint: The transfer function is just the z-transform of impulse response. However, we must first convert the power of -0.5 from (n - 1) to (n - 2) by suitable algebraic manipulation
Find the system transfer function of a causal...
2. A discrete time LTI system is described by the difference equation (assume initial conditions are...
2. A discrete time LTI system is described by the difference equation (assume initial conditions are zero) y[n] + y[n – 1] = x[n] + 1/4x[n – 1] – 1/8x[n – 2] a) Find the transfer function of the system H(z). b) If you take the inverse of the transfer function (1/H(z)), is the system stable? Prove yes or no.
Linear Systems and Signals ECEN 400 [2096] Two sequences, a(n) and htn) are given by: 1....
Linear Systems and Signals ECEN 400
[2096] Two sequences, a(n) and htn) are given by: 1. (1) Represent the x(n) and hin) in sequence format and label 1 for n-0 position. (2) Determine the output sequence yín) using the convolution sum, and represent the yín) in sequence (3) Plot (Stem) xn), hin) and y(n) format and label 1for -0 position. s) x(n hln) y ln) 0-3 0-4, 0.4 2. [2096] Given a following system, (1) Find the transfer function H...
A discrete-time LTI system has the system function \(H(z)\) given below:$$ H(z)=\frac{z^{2}}{z^{2}-\frac{1}{4}} $$(a) Sketch the pole-zero plot for this system. How many possible regions of convergence (ROCs) are there for \(H(z)\). List the possible ROCs and indicate what type of sequence (left-sided, right-sided, two-sided, finite-length) they correspond to.(b) Which ROC (or ROCs) correspond to a stable system? Why?(c) Which ROC (or ROCs) correspond to a causal system? Why?(d) Write a difference equation that relates the input to the output of...
A discrete-time LTI system has the system function H(z) given below: 2 H(z (a) Sketch the pole-zero plot for this system. How many possible (ROCs) are there for H(z). List the possible ROCs and indicate what type of sequence (left-sided, right-sided, two-sided, finite-length) they correspond to (b) Which ROC (or ROCs) correspond to a stable system? Why? (c) Which ROC (or ROCs) correspond to a causal system? Why? (d) Write a difference equation that relates the input to the output...
1. A discrete-time LTI system has the system function H() given below: (a) Sketch the pole-zero plot for this system How many possible regions of convergence (ROCs) are there for H(). List the possible ROCs and indicate what type of sequence (left-sided, right-sided, two-sided, finite-length) they correspond to. (b) Which ROC (or ROCs) correspond to a stable system Why? (c) Which ROC (or ROCs) correspond to a causal system? Why? (d) Write a difference equation that relates the input to...
Please show all steps! Much appreciated, thank
you!
|6. as pout) The frequeney response for Fourier transfar of isimpulse resporse h system of a systkem all-pass filter thal pases all called Such ar in gain but changes the phase reletinship between various frequecies |) Pleuse prove H Gjw = A (constant) and find the actual value of A. s the transfer funtin Hs) of the causa! system" Fiad al the poles and pole ) what zeros and make plot to...
ECE 2713 Homework 6 Spring 2019 Dr. Havlicek 1. Text problem P-7.3. (the problem is shown on page 3) 2. Text problem P.7.8, parts (a), (b), and (d) only. (the problem is shown on page 3) 3. A discrete-time ITI system H has input rjnl and output vinl related by the linear constant coefficient difference equation (a) Find the transfer function H(z) a n find thefunctionalform of H(s) Note: yo but in this part you do not yet have enough...
Please show all the steps clearly.
Find the system transfer function of a causal LSI system whose impulse response is given by 2. 0.5)"l sin[0.5(n- 2)]u[n - 2] and express the result in positive powers of z. 72-1 h[n] = Hint: The transfer function is just the z-transform of impulse response. However, we must first convert the power of -0.5 from (n - 1) to (n - 2) by suitable algebraic manipulation
Find the system transfer function of a causal...
2. A discrete time LTI system is described by the difference equation (assume initial conditions are zero) y[n] + y[n – 1] = x[n] + 1/4x[n – 1] – 1/8x[n – 2] a) Find the transfer function of the system H(z). b) If you take the inverse of the transfer function (1/H(z)), is the system stable? Prove yes or no.
Linear Systems and Signals ECEN 400
[2096] Two sequences, a(n) and htn) are given by: 1. (1) Represent the x(n) and hin) in sequence format and label 1 for n-0 position. (2) Determine the output sequence yín) using the convolution sum, and represent the yín) in sequence (3) Plot (Stem) xn), hin) and y(n) format and label 1for -0 position. s) x(n hln) y ln) 0-3 0-4, 0.4 2. [2096] Given a following system, (1) Find the transfer function H...
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