![Required information Consider the following signals. x[n] = u(n - 5] Using the time-shifting property, identify the z transfo](http://img.homeworklib.com/questions/51fb4a80-fb1c-11eb-9274-0b6498cdfe7b.png?x-oss-process=image/resize,w_560)
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![(n)= 0 (n-1) As we know z -transfor z furni) = 3 = +2-4 6 but in question time is delay by 5 & [n] = [n-5] [u (n-5)] = 25 (2)](http://img.homeworklib.com/questions/bd8d2c50-fb1c-11eb-83c8-81b02933c723.png?x-oss-process=image/resize,w_560)
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Required information Consider the following signals. x[n] = u(n - 5] Using the time-shifting property, identify...
Problem 8.3.1 Determine the Laplace transform of the following signals using Laplace Transform table and the...
Problem 8.3.1 Determine the Laplace transform of the following signals using Laplace Transform table and the time-shifting property. In other words, represent each signal using functions with known Laplace transforms, and then apply time-shifting property to find Laplace transform of the signals. thre (e) Optional: find the Laplace transforms and the ROC for the above signals using direct integration. Problem 8.3.2 Find the Laplace transforms of the following functions using Laplace Transform table and the time-shifting property (if needed) of...
3) Compute the Z-Transforms of the following time series: (a) x(n)k2"u(n) (b) + 1) x(n) =...
3) Compute the Z-Transforms of the following time series: (a) x(n)k2"u(n) (b) + 1) x(n) = u(-n (c) x(n) -k2"u-1) (d) x(n) 0.5%1(n) + 3"11(-n) (e) x(n) = 4-nu(n) + 5-nu(n + 1) In the above, u(n) stand for the unit step signal in the discrete time domain. Also, if you can in each case determine the region of convergence of the Z-Transform you obtain.
4. Consider the discrete time signal x[n] = u[n-2] - u[n – 6] a. Plot the...
4. Consider the discrete time signal x[n] = u[n-2] - u[n – 6] a. Plot the signal b. Find the Fourier Transform of x[n]
(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.
3. The signal x[n] =-(b)”u[-n – 1]+ (0.5)”u[n], a) find the z-transform X(z) [5] b) plot...
3. The signal x[n] =-(b)”u[-n – 1]+ (0.5)”u[n], a) find the z-transform X(z) [5] b) plot the ROC. [3] С
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4) (24%) Find the Fourier tran...
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
signal & system cours Signals and Systeme Q2 b) Given two signals x1(n)=[-1 2 0 -2...
signal & system cours
Signals and Systeme Q2 b) Given two signals x1(n)=[-1 2 0 -2 l) and x3[n] = [5 -4 0 4 -51 (5 Marks) Prove that sum of two signals is an odd signal. Prove that the product of two signals is an even signal. 1) 1 Signals and Systems Q5 b) How can you derive the Discrete-Time Fourier transform from the z-transform? (5 marks)
3) (25 points) Consider the following discrete-time aperiodic signals. x(n) 3 2 1 n x(n) 3...
3) (25 points) Consider the following discrete-time aperiodic signals. x(n) 3 2 1 n x(n) 3 2 1 -1 x(n) 6 4 2 a. (15 points) Compute the Fourier transform X(w). b. (5 points) Write down all the characteristics and properties of X(w). c. (5 points) Explain the limitations of X(w) if it should be compute using a microprocessor. What is the solution?
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution,...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution, (a)Plot x(21) and«S),respectively. (c) Plot the following signal
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--o...
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
Problem 8.3.1 Determine the Laplace transform of the following signals using Laplace Transform table and the time-shifting property. In other words, represent each signal using functions with known Laplace transforms, and then apply time-shifting property to find Laplace transform of the signals. thre (e) Optional: find the Laplace transforms and the ROC for the above signals using direct integration. Problem 8.3.2 Find the Laplace transforms of the following functions using Laplace Transform table and the time-shifting property (if needed) of...
3) Compute the Z-Transforms of the following time series: (a) x(n)k2"u(n) (b) + 1) x(n) = u(-n (c) x(n) -k2"u-1) (d) x(n) 0.5%1(n) + 3"11(-n) (e) x(n) = 4-nu(n) + 5-nu(n + 1) In the above, u(n) stand for the unit step signal in the discrete time domain. Also, if you can in each case determine the region of convergence of the Z-Transform you obtain.
4. Consider the discrete time signal x[n] = u[n-2] - u[n – 6] a. Plot the signal b. Find the Fourier Transform of x[n]
(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.
3. The signal x[n] =-(b)”u[-n – 1]+ (0.5)”u[n], a) find the z-transform X(z) [5] b) plot the ROC. [3] С
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
signal & system cours
Signals and Systeme Q2 b) Given two signals x1(n)=[-1 2 0 -2 l) and x3[n] = [5 -4 0 4 -51 (5 Marks) Prove that sum of two signals is an odd signal. Prove that the product of two signals is an even signal. 1) 1 Signals and Systems Q5 b) How can you derive the Discrete-Time Fourier transform from the z-transform? (5 marks)
3) (25 points) Consider the following discrete-time aperiodic signals. x(n) 3 2 1 n x(n) 3 2 1 -1 x(n) 6 4 2 a. (15 points) Compute the Fourier transform X(w). b. (5 points) Write down all the characteristics and properties of X(w). c. (5 points) Explain the limitations of X(w) if it should be compute using a microprocessor. What is the solution?
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution, (a)Plot x(21) and«S),respectively. (c) Plot the following signal
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
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