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For Problems (9-10), use the continuous-time system depicted below which converts the input signal X(t) into...
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig...
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig 2. Xc() -80007 0 80001 2 (rad/s) Fig 2 According to the sampling theorem, find the maximum allowable sampling period T for this signal. Also plot the Fourier Transforms of the sampled signal X:(j) and X(elo). Label the resulting signals appropriately (both in frequency and amplitude axis). Assuming that the sampling period is increased 1.2 times, what is the new sampling frequency 2? What...
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to...
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
Please explain your steps. I really don't understand this. Exercise 2. Consider the continuous-time signal x(t)...
Please explain your steps. I really don't
understand this.
Exercise 2. Consider the continuous-time signal x(t) = ejwot. Signal x(t) is sent to the input of a first LTI system (System 1) with frequency response Hi(jw) = e-jwA. Let A and wo be constant positive real values. Let y(t) be the output signal of System 1. Signal y(t) is then sent to the input of a second LTI system (System 2) with frequency response H2(jw) = w. Let z(t) be...
If of the input signal X(t) and output signal yl to a continuous - time linear...
If of the input signal X(t) and output signal yl to a continuous - time linear time - invariant system - Y(t) = 5 to xc ej elt- el de o find the impluse response of the system hat) o If the input signal is x (t) = f(t) - f (t-1) find the output signal y ct) o Find the impulse response of the system hit) @ If the input signal Is x (t) = f(t)-f(t-1) find the -...
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled....
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled. Sketch the FT of the sampled signal for the following sampling intervals: identify whether aliasing occurs, Ts = 1/12 X(jw) -117 107 W -10 0 117 97 97T (b) Determine the z-transform and ROC for the following time signals: x[n] = (4)"u[n] + (1)"u[ -– 1] Sketch the ROC, poles, and zeros in the z-plane.
For all the requested figures below, use a time resolution of 10ms for your time axis...
For all the requested figures below, use a time resolution of 10ms for your time axis and plot in the range t-10,101. Matlab hint for time axis: t = 20.01:10. Remember your script should be self-sufficient and run without any errors to receive any points. Question 1. You have already computed the impulse response h(t) for the following system (1) in your previous homework assignment. Find and plot the output y(t) of the system (1), given the input signal x(t)...
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write ...
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write the formulas for its Z Transform, X(e), and Region of Convergence, RoCr (b) List the values of all poles and all zeros. (c) Sketch the pole zero diagram. Label both axes. Give key values along both axes. sin ( (-n))u-n]. (Hints: cos(π/3) (5) x1n] , 1/2, sin(π/3)-V3/2) ,"
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following:...
Problem Consider the signal processing system depicted below хаln] C/D Ya[n] Xc(t) Нeia) Conversion T 1.5...
Problem Consider the signal processing system depicted below хаln] C/D Ya[n] Xc(t) Нeia) Conversion T 1.5 Give a specific example for a frequency response H(e2) such that the inputs xc(t) = cjt and xe(t) = e-2j1 lead to the outputs ya[n] = 2e1.5i(n-1) and yan = 0, respectively. Note that you should specify only one frequency response, which should work as expected in both cases. It is not necessary to justify your answer in this problem.
Problem Consider the signal...
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X...
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters. 101 > H(a) H (aa) T -T f)
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters.
101 >...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency resp...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig 2. Xc() -80007 0 80001 2 (rad/s) Fig 2 According to the sampling theorem, find the maximum allowable sampling period T for this signal. Also plot the Fourier Transforms of the sampled signal X:(j) and X(elo). Label the resulting signals appropriately (both in frequency and amplitude axis). Assuming that the sampling period is increased 1.2 times, what is the new sampling frequency 2? What...
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
Please explain your steps. I really don't
understand this.
Exercise 2. Consider the continuous-time signal x(t) = ejwot. Signal x(t) is sent to the input of a first LTI system (System 1) with frequency response Hi(jw) = e-jwA. Let A and wo be constant positive real values. Let y(t) be the output signal of System 1. Signal y(t) is then sent to the input of a second LTI system (System 2) with frequency response H2(jw) = w. Let z(t) be...
If of the input signal X(t) and output signal yl to a continuous - time linear time - invariant system - Y(t) = 5 to xc ej elt- el de o find the impluse response of the system hat) o If the input signal is x (t) = f(t) - f (t-1) find the output signal y ct) o Find the impulse response of the system hit) @ If the input signal Is x (t) = f(t)-f(t-1) find the -...
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled. Sketch the FT of the sampled signal for the following sampling intervals: identify whether aliasing occurs, Ts = 1/12 X(jw) -117 107 W -10 0 117 97 97T (b) Determine the z-transform and ROC for the following time signals: x[n] = (4)"u[n] + (1)"u[ -– 1] Sketch the ROC, poles, and zeros in the z-plane.
For all the requested figures below, use a time resolution of 10ms for your time axis and plot in the range t-10,101. Matlab hint for time axis: t = 20.01:10. Remember your script should be self-sufficient and run without any errors to receive any points. Question 1. You have already computed the impulse response h(t) for the following system (1) in your previous homework assignment. Find and plot the output y(t) of the system (1), given the input signal x(t)...
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write the formulas for its Z Transform, X(e), and Region of Convergence, RoCr (b) List the values of all poles and all zeros. (c) Sketch the pole zero diagram. Label both axes. Give key values along both axes. sin ( (-n))u-n]. (Hints: cos(π/3) (5) x1n] , 1/2, sin(π/3)-V3/2) ,"
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following:...
Problem Consider the signal processing system depicted below хаln] C/D Ya[n] Xc(t) Нeia) Conversion T 1.5 Give a specific example for a frequency response H(e2) such that the inputs xc(t) = cjt and xe(t) = e-2j1 lead to the outputs ya[n] = 2e1.5i(n-1) and yan = 0, respectively. Note that you should specify only one frequency response, which should work as expected in both cases. It is not necessary to justify your answer in this problem.
Problem Consider the signal...
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters. 101 > H(a) H (aa) T -T f)
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters.
101 >...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
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