Consider the discrete-time LTI system\[-8y[n] + 2y[n-1] + y[n-2] = -2x[n] + 3x[n-1].\]Find the general solution \( y_h[n] \) to the homogeneous equation\[-8y_h[n] + 2y_h[n-1] + y_h[n-2] = 0.\]Find initial values \( \hat{h}[0] \) and \( \hat{h}[1] \) for the impulse response \( \hat{h}[n] \), where\[-8\hat{h}[n] + 2\hat{h}[n-1] + \hat{h}[n-2] = \delta[n]\]and \( \hat{h}[n] = 0 \) for \( n < 0 \).

Answered: Image /qna-images/answer/45725d1e-b537-48e5-ad85-3b2d11b1b248.jpg

Answered: sider the discrete-time LTI system…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Q.2) Given the system of equations, use Gauss elimination to solve for the x's. (25 Points) - 3x2 + 7x3 = 2 X1 + 2x2 – x3 = 3 5х — 2х2 — 2
Use 3 iterations Use Gauss-Seidel iteration to find the root x3) = (x,(3) X3) of the following system of equations with initial guess X = (0,0,0) 5x,-X2+2x3= 12 3x1+8x2-2x3 = - 25 X1+x2+4X3=6
Q6 (a) Use Gauss-Seidel Method to obtain the solution of the following system: 0.4х, — (2 + 1)х, + 1.5х, — 4.56 - (3 + 1)x, + 0.2x, -1.9x, = 1.73 2.5x, –1.6x, + (3+ Iſx,= 8.45 - Stop the iteration until max {]xk+1 – x} < 0.003.
Match b and a system representation to its corresponding difference equation y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] 1. 2. 3. 4. 5. b = [-1.46 -3.53 3.93]; a = [1 2.86 4.1 0.65] b = [-1.46 -3.53 -3.93]; a = [1 -2.86 -4.1 -0.65] b = [-1.46 -3.53 3.93]; a = [1 -2.86 -4.1 -0.65] b = [1.46 3.53 -3.93]; a = [1 2.86 4.1 0.65] b = [1.46 3.53 -3.93]; a = [1 -2.86 -4.1 -0.65]
Could You please solve this problem
5
Use the Gaussian method of elimination to solve the following systems of linear equations: [-10 5 7] [x] [1] [6 7 4] [y] = [2] [3 -7 2] [z] [3] Which one of the followings gives the first step of the Gaussian elimination process? A. R2a = R2 + (3/5)R1 B. R2a = R2 - (5/3)R1 C. R2a = R2 + 10R1 D. R2a = R2 - (3/5)R1
2.x1 – 3x2 + x3 = 0 - Find the value of k for which the system of equations 1+ 2x2 – 3x3 = 0 has non trivial - 4.x1 – x2 + kx3 = 0 solutions.
1.9
Solve the system of linear equations by iteration method (4 iteration). x - 4 y +7 z = 10 5x - 4 y + z = 0 - 4x + 6 y - 4 z = 5 1. X= * X= 1/5(3y-2z) X= 1/5(3y-z) X= 1/5(4y-z) 2. y= * y= 1/6(5+4x-4z) y= 1/6(3y-z) y= 1/5(4y-z) 3. Z= * O z= 1/7(10-x-4y) Z= 1/6(3y-x) Z= 1/5(4y-4x) 4. When first iteration * O X= 0, Y=0.833, Z=1.905 X= 0, Y=1.833, Z=1.905 X= 0, Y=0.833 ,Z=3.905 5. When third iteration * X= 1.295 , Y=0.833, Z=3.241 X= 0, Y=1.833 ,Z=1.905 X= 1.295 , Y=3.495, Z=3.241 O O O O O O O O O
[1 2 0] Find the inverse of A=0 5 8 by using Gauss-Jordan elimination. [2 0 1] 5. a) b) Use A" to solve the system: x, +2x, =-1 5x, +8x, = 7 2.x, + x, = 3
Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 0.1x - 0.2x3 = 7.85 0. 1x1 + 7x2 - 0.3x3 = -19.3 0. 3x, - 0.2x2 + 10x, 71.4

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS