Signals and Systems Laboratory with MATLAB 1st. Edition by Alex Palamides, Anastasia Veloni | 9781439894293 | 1439894299 | Holooly

Analog and Digital Signals and Systems

Signals and Systems Laboratory with MATLAB

103 SOLVED PROBLEMS

Question: 11.15.11

Determine the state space representation of the continuous-time system with transfer function H(s) = s² + 2/s³ + s² + 4s + 2 . Compute and plot in the time interval 0 ≤ t ≤ 20 the impulse response and the step response of the system according to its state representation. Also, calculate the system ...

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Question: 11.15.10

Consider a discrete-time system with frequency response H(ω) = 0.1 + 0.1e^-jω + 0.18e^-2jω + 0.18e^-3jω + 0.09e^-4jω + 0.09e^-5jω/1 – 1.5e^-jω + 2.2e^-2jω – 1.5e^-3jω + 0.8e^-4jω – 0.18e^-5jω. a. Plot the frequency response of the system. b. Compute and plot the impulse response and the step ...

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Question: 11.15.9

Consider the system described by the difference equation y[n] = 1.6y[n – 1] – 0.8y[n – 2] + 0.01x[n] + 0.03x[n – 1] + 0.015x[n – 2] with zero initial conditions. Compute and plot the response y[n] of the system to the input signal x[n] when a. x[n] is the unit impulse sequence d[n]. b. x[n] is the ...

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Question: 11.15.8

Consider a discrete-time system with transfer function H1(z) = z²/z² + 0.2z + 0.01. a. Find the transfer function H2(z) of a system with the same behavior that causes a delay of 2 units to an applied input signal. Also, plot for 0 ≤ n ≤ 8. b. The impulse response of the system with transfer ...

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Question: 11.15.7

Consider the discrete-time system described by the transfer function H(z) = 8z² + 10z – 6/z³ + 2z² – z – 2. a. Find out if the system is stable. b. Express the transfer function in zero/pole/gain form. c. Express the transfer function in partial fraction form. ...

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Question: 11.15.6

Compute and plot the response of the system with transfer function H(s) = s² – 1/s³ + 2s² + 3s + 4 to the input signal x(t) = e^-0.1t cos(t), 0 ≤ t ≤ 60. ...

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Question: 11.15.5

Compute and plot in the time interval 0 ≤ t ≤ 3 s the impulse response of a system with transfer function H(s) = (s + 2)(s – 3)/s³ + 9s² + 26s + 24. Verify your result by computing the impulse response of the system with use of the inverse Laplace transform. ...

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Question: 11.15.4

Compute and plot in the same figure the step responses of two systems with transfer functions H1(s) = 10/(s + 1)(s + 0.2 – 10i)(s + 0.2 – 10i) and H2(s) = 10(s + 3)/(s + 1)(s + 0.2 – 10i)(s + 0.2 – 10i) ...

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Question: 11.15.3

Compute the closed-loop transfer function of the system that is depicted in the figure below if G(z) = 0.1/(z – 0.5), H(z) = 0.5/(z – 0.1), and K = 2. ...

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Question: 11.15.2

Compute the transfer function of the system that is shown in the figure below. The transfer functions of the subsystems are H1(s) = s/(s + 4), H2(s) = s/(s² + 4), and H3(s) = s²/(s² + 4). ...

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