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a) Specify the type of this filter. Explain your answer. b) Find the transfer function H...
alpha = 5.0 beta = 7.1 zeta = 6.9 PROBLEM 1 (20 points). Given the filter with transfer function +28-1+-2 11(2) = 1-(α/10)2-4 (a2/100):-2 Use MATLAB to Find the zeros and poles of H() Plot the pole...
alpha = 5.0
beta = 7.1
zeta = 6.9
PROBLEM 1 (20 points). Given the filter with transfer function +28-1+-2 11(2) = 1-(α/10)2-4 (a2/100):-2 Use MATLAB to Find the zeros and poles of H() Plot the poles and zeros on the -plane. The pot should include the uit circle. Plot the magnitude response (in dB) Plot the phase response. Deliverables: Your MATLAB code used to solve Problem 1 and all the generated plots.
PROBLEM 1 (20 points). Given the filter...
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system...
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
. For the following filter, a. What is the filter type? b. Find the filter transfer...
. For the following filter, a. What is the filter type? b. Find
the filter transfer function (in s-domain), c. Find its center
frequency, half-power frequency, bandwidth, and quality
factor.
4.5 mH For the following filter, a. b. c. 5. What is the filter type? Find the filter transfer function (in s-domain), Find its center frequency, half-power frequency, bandwidth, and quality factor. 60 nF v
Find the transfer function H(jω) for the circuit above as a function of jω. (Leave R...
Find the transfer function H(jω) for the
circuit above as a function of jω. (Leave R and L as variables).
Assume V R to be the output and V S to be the input.
С L RVR(t) vs (t) A. Find the transfer function H(jo) for the circuit above as a function of jaw. (Leave R and L as variables). Assume V to be the output and V to be the input. S R B. Find the Magnitude and Phase...
A Calculator is allowed. Question 7: The following transfer function is unstable. H(s) = ! Explain...
A Calculator is allowed. Question 7: The following transfer function is unstable. H(s) = ! Explain why the function is unstable. Plot any existing poles and zeros on the complex (s-domain) plane. Find a feedback method (P,D, or Ior any summative combination of P, D, or I) to make the system stable. Prove it is stable mathematically.
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H....
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H. Show that the transfer function H(s) is: 1 (5) H(S)= (5) + +1 L102 107 (a) Plot the pole-zero diagram of H(s). (b) What filter is given by H(s)? Why? (e) Determine the resonant frequency 0o, the quality factor Q, the cut-off frequencies 01 and 02 and the bandwidth B. i (0) it) R Fig. 4.4
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...
Problem 3: Consider an IIR filter described by the difference equation (a) What is the system...
Problem 3: Consider an IIR filter described by the difference equation (a) What is the system function H(a) of this fiter? [5 points) (b) Determine the zeros and poles of the system and sketch the zero-pole plot in z-plane. 5 points (c) Plot the block diagram of this IIR filter. [10 points (d) Given the input zfn-cos(mn/3) + 2δ[n] + 5in-11, determine the output yln. 15 points
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
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?...
alpha = 5.0
beta = 7.1
zeta = 6.9
PROBLEM 1 (20 points). Given the filter with transfer function +28-1+-2 11(2) = 1-(α/10)2-4 (a2/100):-2 Use MATLAB to Find the zeros and poles of H() Plot the poles and zeros on the -plane. The pot should include the uit circle. Plot the magnitude response (in dB) Plot the phase response. Deliverables: Your MATLAB code used to solve Problem 1 and all the generated plots.
PROBLEM 1 (20 points). Given the filter...
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
. For the following filter, a. What is the filter type? b. Find
the filter transfer function (in s-domain), c. Find its center
frequency, half-power frequency, bandwidth, and quality
factor.
4.5 mH For the following filter, a. b. c. 5. What is the filter type? Find the filter transfer function (in s-domain), Find its center frequency, half-power frequency, bandwidth, and quality factor. 60 nF v
Find the transfer function H(jω) for the
circuit above as a function of jω. (Leave R and L as variables).
Assume V R to be the output and V S to be the input.
С L RVR(t) vs (t) A. Find the transfer function H(jo) for the circuit above as a function of jaw. (Leave R and L as variables). Assume V to be the output and V to be the input. S R B. Find the Magnitude and Phase...
A Calculator is allowed. Question 7: The following transfer function is unstable. H(s) = ! Explain why the function is unstable. Plot any existing poles and zeros on the complex (s-domain) plane. Find a feedback method (P,D, or Ior any summative combination of P, D, or I) to make the system stable. Prove it is stable mathematically.
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H. Show that the transfer function H(s) is: 1 (5) H(S)= (5) + +1 L102 107 (a) Plot the pole-zero diagram of H(s). (b) What filter is given by H(s)? Why? (e) Determine the resonant frequency 0o, the quality factor Q, the cut-off frequencies 01 and 02 and the bandwidth B. i (0) it) R Fig. 4.4
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...
Problem 3: Consider an IIR filter described by the difference equation (a) What is the system function H(a) of this fiter? [5 points) (b) Determine the zeros and poles of the system and sketch the zero-pole plot in z-plane. 5 points (c) Plot the block diagram of this IIR filter. [10 points (d) Given the input zfn-cos(mn/3) + 2δ[n] + 5in-11, determine the output yln. 15 points
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
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