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Given the two signals x,(n) = [a , b, c) 1 x,(n)...
5.34. Two signals æ[n] and h[n] are given by - 3, 4, 1, 6 arn]{2, t...
5.34. Two signals æ[n] and h[n] are given by - 3, 4, 1, 6 arn]{2, t n 0 h[n1, 1, , 0, 0} t n 0 Compute the circular convolution y[n] x[n]h[n] through direct application of the circular convolution sum a. b. Compute the 5-point transforms X k] and H[k] c. Compute Y[k] Xk] Hk, and the obtain y[n] as the inverse DFT of Y [k. Verify that the same result is obtained as in part (a)
elsewhere elsewhere 6. Convolution between two discrete time signals, #1 [n] and 12[n] is given by:...
elsewhere elsewhere 6. Convolution between two discrete time signals, #1 [n] and 12[n] is given by: y[m] = $R=0[n] ru[m sin (Pan) ,n=0,1,2,3 cos (27) ,n=0,1,2,3 n, m 7. Let 21 [n] 10. with N = 4 find y(0) and y[1]. (10 points) 7. The taylor series expansion of c" = = 1+++++ and sin(x) = 1 - 3 +420 ko 15x24. Using this, can you write the taylor series expansion of esin(x”)? (just write the first two lower order...
Let x[n] and y[n] be periodic signals with common period N, and let z[n] = {...
Let x[n] and y[n] be periodic signals with common period N, and let z[n] = { x[r]y[n – r) r=<N> be their period convolution. Let z[n] = sin(7") and y[n] = { . 0 <n<3 4 <n <7 Asns? be two signals that are periodic with period 8. Find the Fourier series representation for the periodic convolution of these signals.
Linear Systems and Signals ECEN 400 [2096] Two sequences, a(n) and htn) are given by: 1....
Linear Systems and Signals ECEN 400
[2096] Two sequences, a(n) and htn) are given by: 1. (1) Represent the x(n) and hin) in sequence format and label 1 for n-0 position. (2) Determine the output sequence yín) using the convolution sum, and represent the yín) in sequence (3) Plot (Stem) xn), hin) and y(n) format and label 1for -0 position. s) x(n hln) y ln) 0-3 0-4, 0.4 2. [2096] Given a following system, (1) Find the transfer function H...
(a) Find the convolution of these two signals, and sketch the result.
Circular vs. Linear ConvolutionConsider sequences(x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7])=(1,1,1,1,0,0,0,0)and(h[0], h[1], h[2], h[3], h[4], h[5], h[6], h[7])=(1,2,3,4,3,2,1,0)where x[n]=0 for n ∉\{0, …, 7\} and h[n]=0 for n ∉\{0, ..., 7\}.(a) Find the convolution of these two signals, and sketch the result.(b) Find the 8-point circular convolution of these two signals, and sketch the result.(c) Assume that each of the signals has been zero padded up to a length 16. Find the 16 -point circular convolution of these two...
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convol...
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI system with input x (o] and impulse response h (o] specified as follows. x [n] = 2"u [-n] h [n] -u [n] Find the output y [n] using convolution sum.
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI...
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)
em 2: Given two sequences x[n] = 8 8[n - 8] and h[n] = (0.7)"u[n] Determine...
em 2: Given two sequences x[n] = 8 8[n - 8] and h[n] = (0.7)"u[n] Determine the z-transform of the convolution of the two sequences using the convolution property of the Z-transform Y(z) = X(z) H(2) Determine the convolution y[n] = x[n] * h[n] by using the inverse z-transform Problem 3: Find the inverse z-transform for the functions below. 4z-1 2-4 z-8 X(Z) = + 2-5 Z - 1 2-05 X(Z) = Z 2z2 + 2.7 z + 2
Name: ID NO: Section: 1. Assume that you have three sinusoidal signals and the parameters of...
Name: ID NO: Section: 1. Assume that you have three sinusoidal signals and the parameters of each one of them is given below Amplitude is 3. cyclic frequency is 50Hz and phase shift is - Amplitude is 4, radian frequency is 40 and phase shift is Amplitude is 6, period is 0.05s, and phase shiftis- Write MATLAB code for the following Assume that the time interval is. Generate each signal Plot the above three signals in the same figure window...
6. Given the two four-point sequences x[n] = (-2,-1,0, 2] and y[n] = [-1, -2, -1,...
6. Given the two four-point sequences x[n] = (-2,-1,0, 2] and y[n] = [-1, -2, -1, -3), find the following: (a) x[n]*y[n], the linear convolution; (b) x[n]y[n], the circular convolution;
5.34. Two signals æ[n] and h[n] are given by - 3, 4, 1, 6 arn]{2, t n 0 h[n1, 1, , 0, 0} t n 0 Compute the circular convolution y[n] x[n]h[n] through direct application of the circular convolution sum a. b. Compute the 5-point transforms X k] and H[k] c. Compute Y[k] Xk] Hk, and the obtain y[n] as the inverse DFT of Y [k. Verify that the same result is obtained as in part (a)
elsewhere elsewhere 6. Convolution between two discrete time signals, #1 [n] and 12[n] is given by: y[m] = $R=0[n] ru[m sin (Pan) ,n=0,1,2,3 cos (27) ,n=0,1,2,3 n, m 7. Let 21 [n] 10. with N = 4 find y(0) and y[1]. (10 points) 7. The taylor series expansion of c" = = 1+++++ and sin(x) = 1 - 3 +420 ko 15x24. Using this, can you write the taylor series expansion of esin(x”)? (just write the first two lower order...
Let x[n] and y[n] be periodic signals with common period N, and let z[n] = { x[r]y[n – r) r=<N> be their period convolution. Let z[n] = sin(7") and y[n] = { . 0 <n<3 4 <n <7 Asns? be two signals that are periodic with period 8. Find the Fourier series representation for the periodic convolution of these signals.
Linear Systems and Signals ECEN 400
[2096] Two sequences, a(n) and htn) are given by: 1. (1) Represent the x(n) and hin) in sequence format and label 1 for n-0 position. (2) Determine the output sequence yín) using the convolution sum, and represent the yín) in sequence (3) Plot (Stem) xn), hin) and y(n) format and label 1for -0 position. s) x(n hln) y ln) 0-3 0-4, 0.4 2. [2096] Given a following system, (1) Find the transfer function H...
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI system with input x (o] and impulse response h (o] specified as follows. x [n] = 2"u [-n] h [n] -u [n] Find the output y [n] using convolution sum.
Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI...
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)
em 2: Given two sequences x[n] = 8 8[n - 8] and h[n] = (0.7)"u[n] Determine the z-transform of the convolution of the two sequences using the convolution property of the Z-transform Y(z) = X(z) H(2) Determine the convolution y[n] = x[n] * h[n] by using the inverse z-transform Problem 3: Find the inverse z-transform for the functions below. 4z-1 2-4 z-8 X(Z) = + 2-5 Z - 1 2-05 X(Z) = Z 2z2 + 2.7 z + 2
Name: ID NO: Section: 1. Assume that you have three sinusoidal signals and the parameters of each one of them is given below Amplitude is 3. cyclic frequency is 50Hz and phase shift is - Amplitude is 4, radian frequency is 40 and phase shift is Amplitude is 6, period is 0.05s, and phase shiftis- Write MATLAB code for the following Assume that the time interval is. Generate each signal Plot the above three signals in the same figure window...
6. Given the two four-point sequences x[n] = (-2,-1,0, 2] and y[n] = [-1, -2, -1, -3), find the following: (a) x[n]*y[n], the linear convolution; (b) x[n]y[n], the circular convolution;
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