Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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![**QUESTION 1**
Let \( x[n] = (n + 1) 2^n \, u[n - 1] \).
It is observed that its z-transform is of the form
\[
X(z) = \frac{B(z)}{1 + a_1 z^{-1} + a_2 z^{-2}}
\]
where \( B(z) \) is some polynomial. What is \( B(4) \)?
**Options:**
- \( \frac{1}{4} \)
- \( \frac{3}{4} \)
- 3
- 4
- 12
- None of the above](https://content.bartleby.com/qna-images/question/6e3992ca-2280-40ba-b65a-68dc98c03d5d/75c89cda-18ad-412e-b33e-5abd462c7d20/7vy2j6q_processed.jpeg)
Transcribed Image Text:**QUESTION 1**
Let \( x[n] = (n + 1) 2^n \, u[n - 1] \).
It is observed that its z-transform is of the form
\[
X(z) = \frac{B(z)}{1 + a_1 z^{-1} + a_2 z^{-2}}
\]
where \( B(z) \) is some polynomial. What is \( B(4) \)?
**Options:**
- \( \frac{1}{4} \)
- \( \frac{3}{4} \)
- 3
- 4
- 12
- None of the above
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- 8) Determine the z-transform of the difference equation shown below. Do not simplify or solve for anything further. Just determine the z-transform. Assume that: • y(−1) = 10, y(−2) = 20 n • x(n) = (-)" u(n) y(n) + 1½y(n y(n)+y(n-2) = 8 x(n)arrow_forwardHome Work Find the Z- Transform and mention the Region of Convergence (ROC) for the following discrete time sequences. 1. x (n) = 8(n-2) 2. x (n) = 8(n)arrow_forwardThe z Transform Chap. 2 Find the inverse z transform of X(z): 2¹(0.5-2¹) (1-0.5z-¹)(1-0.8z-¹)² Use (1) the partial-fraction-expansion method and (2) the MATLAB method Write a MATLAB program for finding x(k), the inverse z transform of X(z) Please solve this problem by Matlab code 72 Problem B-2-9arrow_forward
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