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The figure shows the pole diagrams and frequency responses of four continuous-time LTI systems. B...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
2.7.21 Match the impulse response h(t) of a continuous-time LTI system with the correct plot of...
2.7.21 Match the impulse response h(t) of a continuous-time LTI system with the correct plot of its frequency response H' (w)l. Explain how you obtain your answer IMPULSE RESPONSE 0.5 -0.5 0.5 2.5 3.5 4.5 0.5 0.6 0.4 0.8 w 0.6 O 0.4 0.2 0.8 0.4 S 0.2 0.8 u 0.6 0.4 S 0.2
Create chart or table Consider the system with the impulse response ht)e u(t), as shown in Figure...
Create chart or table Consider the system with the impulse response ht)e u(t), as shown in Figure 3.2(a). This system's response to an input of x(t) 1) would be y(t) h(r ult 1). as shown in Figure 3.2(b). If the input signal is a sum of weighted, time-shifted impulses as described by (3.10), separated in time by Δ = 0.1 (s) so that xt)01-0.1k), as shown in Figure 3.2(c), then, according to (3.11), the output is This output signal is...
5.44. The impulse responses of four linear-phase FIR filters hi[n], h2[n],h3[n], and h4n]are given below. Moreover,...
5.44. The impulse responses of four linear-phase FIR filters hi[n], h2[n],h3[n], and h4n]are given below. Moreover, four magnitude response plots, A, B. C, and D, that potentially corre- spond to these impulse responses are shown in Figure P5.44. For each impulse response hi[n 1.....4, specify which of the four magnitude response plots, if any, corresponds to it. If none of the magnitude response plots matches a given hi[n, then specify "none as the answer for that hiIn] h1 [n] :...
2.6.1 Consider a causal continuous-time LTI system described by the differential equation u"(t) +...
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
For Both Figures: Is h[n] symmetrical or asymmetrical? How is the magnitude response? Is the phase...
For
Both Figures:
Is h[n] symmetrical or asymmetrical?
How is the magnitude response?
Is the phase response linear? Why?
My current answer is:
For Figure A: symmetrical, not sure about mag response, linear
phase response
For Figure B: asymmetrical, not sure about mag response,
non-linear phase response because of the slight delay in the
wrapped phase response?
A full explanation for the magnitude and phase response,
please.
Type I FIR Filter, Zero Phase Response Magnitude Response 0.35 0. 30 -...
Closed-loop system response and characteristics, Proportional gain 10 < paste transfer function T...
Closed-loop system response and characteristics, Proportional gain 10 < paste transfer function Ts as output from Matlab here> clear all: close all: ls J = 0.022R = 0.11;K = 0.02;R 1.5;L= 0.6; Closed loop Transfer function T(s) Cs-10; RRA pole (Tg) 22T zero (Tg) figure ; figure ; teS) characteristics natural frequency damping ratio Dr-abs(real (RpT (2)) ) / ettling time peak time ER忌 overshoot 032=100 rise time Step response of open-loop system: Pole-zero map: easte,pole-zero plot here> Pole-Zero Map...
My question is Problem 11.4-8 Thanks for your help! 11.4-8. Consider the third-order continuous-time LTI system...
My question is Problem 11.4-8
Thanks for your help!
11.4-8. Consider the third-order continuous-time LTI system * = Ax + Bu y = Cx 102 with A = To 0 Lo 2 0 -8 07 3 , B = -6] 0 , and C = [1 0 0]. Using Q = [800] 0 6 0, LO 0 4 R = 1.5 (a) First design a LQ controller for this continuous time-system using the MATLAB function iqr. Let the optimal controller...
Step Response Step Response 18 2 16 System 1 Peak amplitude: 2.19 Overshoot (9.00 Al time...
Step Response Step Response 18 2 16 System 1 Peak amplitude: 2.19 Overshoot (9.00 Al time seconds):0.391 System: G2 Time seconds): 0.494 Amplitude 16 System: G2 Time seconds 31 Amplitude: 1.04 1.5 1.2 Amplitude Amplitude 1 08 06 0.5 0.2 O 0.1 0.2 0.6 0.3 04 0.5 Time (seconds) 07 5 Time (seconds) 1) For the step responses, obtained from some unknown systems, shown above, find dynamic system models using only the data points shown in, assume that all points...
We have a filter and the bode diagram is shown as below figure. The input signal...
We have a filter and the bode diagram is shown as below
figure.
The input signal is shown as below figure, What will be the
output signal in steady state?
Bode Diagram 0 -10 Magnitude (dB) -20 -30 -48 Phase (deg) 45 -90 10-2 10-1 100 101 102 Frequency (Hz) - Input 0.5 MT Voltage(V) -0.5 0.05 0.1 0.15 0.2 0.3 0.35 0.4 0.45 0.5 0.25 Time(s) Input Output 0.5 0 -0.5 -1 9.5 9.55 9.6 9.65 9.7 9.8 9.85...
II. Consider a continuous time signal x(t), containing two windowed sinusoids 0.1 0.2 0.3 0.4 0.5 0.6 The Fourier transform of the signal is as follows: 15 10 5 -800-_-400 h 200 400 600 The signal x(t) is the input of an LTI filter with frequency response lH(c) shown below 0.5 -&- 400︺-200 0 200 400 600 Shown below are four possible outputs of LTI filter when x(t) is the input. Please select the correct output (a) ya(t) (b) y(t)...
2.7.21 Match the impulse response h(t) of a continuous-time LTI system with the correct plot of its frequency response H' (w)l. Explain how you obtain your answer IMPULSE RESPONSE 0.5 -0.5 0.5 2.5 3.5 4.5 0.5 0.6 0.4 0.8 w 0.6 O 0.4 0.2 0.8 0.4 S 0.2 0.8 u 0.6 0.4 S 0.2
Create chart or table Consider the system with the impulse response ht)e u(t), as shown in Figure 3.2(a). This system's response to an input of x(t) 1) would be y(t) h(r ult 1). as shown in Figure 3.2(b). If the input signal is a sum of weighted, time-shifted impulses as described by (3.10), separated in time by Δ = 0.1 (s) so that xt)01-0.1k), as shown in Figure 3.2(c), then, according to (3.11), the output is This output signal is...
5.44. The impulse responses of four linear-phase FIR filters hi[n], h2[n],h3[n], and h4n]are given below. Moreover, four magnitude response plots, A, B. C, and D, that potentially corre- spond to these impulse responses are shown in Figure P5.44. For each impulse response hi[n 1.....4, specify which of the four magnitude response plots, if any, corresponds to it. If none of the magnitude response plots matches a given hi[n, then specify "none as the answer for that hiIn] h1 [n] :...
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
For
Both Figures:
Is h[n] symmetrical or asymmetrical?
How is the magnitude response?
Is the phase response linear? Why?
My current answer is:
For Figure A: symmetrical, not sure about mag response, linear
phase response
For Figure B: asymmetrical, not sure about mag response,
non-linear phase response because of the slight delay in the
wrapped phase response?
A full explanation for the magnitude and phase response,
please.
Type I FIR Filter, Zero Phase Response Magnitude Response 0.35 0. 30 -...
Closed-loop system response and characteristics, Proportional gain 10 < paste transfer function Ts as output from Matlab here> clear all: close all: ls J = 0.022R = 0.11;K = 0.02;R 1.5;L= 0.6; Closed loop Transfer function T(s) Cs-10; RRA pole (Tg) 22T zero (Tg) figure ; figure ; teS) characteristics natural frequency damping ratio Dr-abs(real (RpT (2)) ) / ettling time peak time ER忌 overshoot 032=100 rise time Step response of open-loop system: Pole-zero map: easte,pole-zero plot here> Pole-Zero Map...
My question is Problem 11.4-8
Thanks for your help!
11.4-8. Consider the third-order continuous-time LTI system * = Ax + Bu y = Cx 102 with A = To 0 Lo 2 0 -8 07 3 , B = -6] 0 , and C = [1 0 0]. Using Q = [800] 0 6 0, LO 0 4 R = 1.5 (a) First design a LQ controller for this continuous time-system using the MATLAB function iqr. Let the optimal controller...
Step Response Step Response 18 2 16 System 1 Peak amplitude: 2.19 Overshoot (9.00 Al time seconds):0.391 System: G2 Time seconds): 0.494 Amplitude 16 System: G2 Time seconds 31 Amplitude: 1.04 1.5 1.2 Amplitude Amplitude 1 08 06 0.5 0.2 O 0.1 0.2 0.6 0.3 04 0.5 Time (seconds) 07 5 Time (seconds) 1) For the step responses, obtained from some unknown systems, shown above, find dynamic system models using only the data points shown in, assume that all points...
We have a filter and the bode diagram is shown as below
figure.
The input signal is shown as below figure, What will be the
output signal in steady state?
Bode Diagram 0 -10 Magnitude (dB) -20 -30 -48 Phase (deg) 45 -90 10-2 10-1 100 101 102 Frequency (Hz) - Input 0.5 MT Voltage(V) -0.5 0.05 0.1 0.15 0.2 0.3 0.35 0.4 0.45 0.5 0.25 Time(s) Input Output 0.5 0 -0.5 -1 9.5 9.55 9.6 9.65 9.7 9.8 9.85...
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