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y|n] + 0.4y[n – 1] – 0.12y[n – 2] = x[n] Note that 1 yl-2) = 3 3 y(-1] = 1 x|n] = (-0.8)"u[n] Find: 1) Determine a closed form expression for y n] using the Z- and inverse Z-transforms. Clearly show all steps and necessary work. You are encouraged to use Matlab's tools to check your work.

y|n] + 0.4y[n – 1] – 0.12y[n – 2] = x[n] Note that 1 yl-2) = 3 3 y(-1] = 1 x|n] = (-0.8)"u[n] Find: 1) Determine a closed form expression for y n] using the Z- and inverse Z-transforms. Clearly show all steps and necessary work. You are encouraged to use Matlab's tools to check your work.

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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y|n] + 0.4y[n – 1] – 0.12y[n – 2] = x[n] Note that 1 yl-2) = 3 3 y(-1] = 1 x|n] = (-0.8)"u[n] Find: 1) Determine a closed form expression for y[n] using the Z- and inverse Z-transforms. Clearly show all steps and necessary work. You are encouraged to use Matlab's tools to check your work. 2) Write the recursive solution for the above difference equation. 3) Use Matlab to plot the closed solution, the recursive solution, and |yclosed – Yrecursivel. Do this for –2 <n < 5. If done correctly, you will have error on the order of 1 × 10 15.
Transcribed Image Text:y|n] + 0.4y[n – 1] – 0.12y[n – 2] = x[n] Note that 1 yl-2) = 3 3 y(-1] = 1 x|n] = (-0.8)"u[n] Find: 1) Determine a closed form expression for y[n] using the Z- and inverse Z-transforms. Clearly show all steps and necessary work. You are encouraged to use Matlab's tools to check your work. 2) Write the recursive solution for the above difference equation. 3) Use Matlab to plot the closed solution, the recursive solution, and |yclosed – Yrecursivel. Do this for –2 <n < 5. If done correctly, you will have error on the order of 1 × 10 15.
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