Homework Answers
MATLAB:
clc;clear all;
B=[5 -2 0 0]
A=[1 -1.8 1.07 -0.21]
%To verify
sys = tf(B,A,0.1,'Variable','z^-1')
zplane(B,A)
grid on
title('N0 12) Pole zero diagram of H(z)')
Command window:
Transfer function 'sys' from input 'u1' to output ...
5 - 2 z^-1
y1: ------------------------------------
1 - 1.8 z^-1 + 1.07 z^-2 - 0.21 z^-3
Sampling time: 0.1 s
Discrete-time model.
Add Answer to:
5 -22-1 (12) Assume a Transfer Function Transfer Fune tion H (z) = 1.8z1 + 1.07 z"2 - 0.21z-3 1 U...
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of...
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
7.) The transfer function of a transmission channel is given by H(z) = (2+1.4)(2+ + 2z...
7.) The transfer function of a transmission channel is given by H(z) = (2+1.4)(2+ + 2z + 4) (z + 0.8) (2 -0.6) In order to correct for the magnitude distortion introduced by the channel on a signal passing through it, we wish to connect a stable and causal digital filter characterized by a system func- tion G(2) at the receiving end. Determine G(z) such that the H(2) G(%) = 1 for | <. A good starting point would be...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
The transfer function relating Z(s) to the input U(s) is given below: It can be shown that the IL...
The transfer function relating Z(s) to the input U(s) is given
below: It can be shown that the ILT of Z (s) is of the form Z(t)
Find C1, C2, r1 r2 r3 , and W
Problem 1: (5Points) The transfer function relating Z(s) to the input U(s) is given below: St S It can be shown that the ILT of Z (s) is of the form rt Find C1, C2» T['T2'3' Problem 2: (20 Points) The DE for a...
Please solve these using matlab Problem 1 Given the transfer functions e S +5 (a) C(s)...
Please solve these using matlab
Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
y[n] = x[n] - 3x[n - 1] + 4x[n - 2] What is the transfer function...
y[n] = x[n] - 3x[n - 1] + 4x[n - 2] What is the transfer function H(z) of the filter, plot the pole zero plot. Design a filter, plot the amplitude of filter response.
T Im Re (0 3 1) Find the equivalent transfer function H (s). Remark: Since you're only given th...
t Im Re (0 3 1) Find the equivalent transfer function H (s). Remark: Since you're only given the pole-zero plot (with no information about the actual circuit that governs H(s), your answer for H(s) will contain an undetermined coefficient M zero factors pole factors RLAA P1
t Im Re (0 3
1) Find the equivalent transfer function H (s). Remark: Since you're only given the pole-zero plot (with no information about the actual circuit that governs H(s), your answer...
100 H(s) 2. For the transfer function: s3+32s2260s+400 a) create a reduced order model by removing...
100 H(s) 2. For the transfer function: s3+32s2260s+400 a) create a reduced order model by removing the "high frequency" pole (Hints ... Use zpk() to find poles. Make sure the new transfer function has the same Kdc as the original model) b) Use MatLab to verify that the step response for the two models are "equivalent"
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
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).
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
7.) The transfer function of a transmission channel is given by H(z) = (2+1.4)(2+ + 2z + 4) (z + 0.8) (2 -0.6) In order to correct for the magnitude distortion introduced by the channel on a signal passing through it, we wish to connect a stable and causal digital filter characterized by a system func- tion G(2) at the receiving end. Determine G(z) such that the H(2) G(%) = 1 for | <. A good starting point would be...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
The transfer function relating Z(s) to the input U(s) is given
below: It can be shown that the ILT of Z (s) is of the form Z(t)
Find C1, C2, r1 r2 r3 , and W
Problem 1: (5Points) The transfer function relating Z(s) to the input U(s) is given below: St S It can be shown that the ILT of Z (s) is of the form rt Find C1, C2» T['T2'3' Problem 2: (20 Points) The DE for a...
Please solve these using matlab
Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
t Im Re (0 3 1) Find the equivalent transfer function H (s). Remark: Since you're only given the pole-zero plot (with no information about the actual circuit that governs H(s), your answer for H(s) will contain an undetermined coefficient M zero factors pole factors RLAA P1
t Im Re (0 3
1) Find the equivalent transfer function H (s). Remark: Since you're only given the pole-zero plot (with no information about the actual circuit that governs H(s), your answer...
100 H(s) 2. For the transfer function: s3+32s2260s+400 a) create a reduced order model by removing the "high frequency" pole (Hints ... Use zpk() to find poles. Make sure the new transfer function has the same Kdc as the original model) b) Use MatLab to verify that the step response for the two models are "equivalent"
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
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).
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