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Find the Z - transform of the following discrete sample and indicate the ROC: i. x[n] = 0.56[n] + 26[n+2] -0.48[n-5] + 56[n-6]- 36[n+10] ii. x(n) = n(-1)" u(n) (승)"-2",n 2 0 0, n<0 | iii. x[n] = %3D

Find the Z - transform of the following discrete sample and indicate the ROC: i. x[n] = 0.56[n] + 26[n+2] -0.48[n-5] + 56[n-6]- 36[n+10] ii. x(n) = n(-1)" u(n) (승)"-2",n 2 0 0, n<0 | iii. x[n] = %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Find the Z- transform of the following discrete sample and indicate the ROC: x[n] = 0.56[n] + 26[n+2]-0.48[n-5] + 56[n-6] – 36[n+10] x(n)= n( –1)" u(n) (금)"-2",n20 i. ii. iii. x[n] = 0, n <0 Find the inverse of each of the following Z - transforms: z-1 2. i. X(z) (1-2-1)(1-글2-1)2 2-1.5z-1 ii. X(z) = %3D 1-1.5z-1+0.5z-2 4. Draw the Transposed Direct Form II diagram of the following LTI System: 2y[n] + y[n – 1]- 4y[n - 3] = x[n] + 2x [n-3] +3x[n - 5] Draw the Direct Form I diagram of the following LTI System: 2y[n] + y[n – 1] – 2y[n - 2] - x[n] = 2x[n-3] +3x[n – 2] + y[n-3] 5. 6. Determine the discrete-time Fourier transform of the following finite-duration sequence: x1 (n) = {1,2, –3,2,5} 3.
Transcribed Image Text:1. Find the Z- transform of the following discrete sample and indicate the ROC: x[n] = 0.56[n] + 26[n+2]-0.48[n-5] + 56[n-6] – 36[n+10] x(n)= n( –1)" u(n) (금)"-2",n20 i. ii. iii. x[n] = 0, n <0 Find the inverse of each of the following Z - transforms: z-1 2. i. X(z) (1-2-1)(1-글2-1)2 2-1.5z-1 ii. X(z) = %3D 1-1.5z-1+0.5z-2 4. Draw the Transposed Direct Form II diagram of the following LTI System: 2y[n] + y[n – 1]- 4y[n - 3] = x[n] + 2x [n-3] +3x[n - 5] Draw the Direct Form I diagram of the following LTI System: 2y[n] + y[n – 1] – 2y[n - 2] - x[n] = 2x[n-3] +3x[n – 2] + y[n-3] 5. 6. Determine the discrete-time Fourier transform of the following finite-duration sequence: x1 (n) = {1,2, –3,2,5} 3.
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