(1). Find the z-transform for the following discrete-time signal. x[n] 2 1 -2 -1 0 1 2 3 4 5 -1 n
(1). Find the z-transform for the following discrete-time signal. x[n] 2 1 -2 -1 0 1 2 3 4 5 -1 n
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![**(1). Find the z-transform for the following discrete-time signal.**
Diagram Explanation:
- The horizontal axis represents discrete time \( n \).
- The vertical axis represents the amplitude \( x[n] \) of the signal.
- The signal values are:
- \( x[-2] = 0 \)
- \( x[-1] = 0 \)
- \( x[0] = 0 \)
- \( x[1] = 1 \)
- \( x[2] = 1 \)
- \( x[3] = 2 \)
- \( x[4] = -1 \)
- \( x[5] = 0 \)
**(2). Find all zeros and poles for the following z-transform:**
\[ F[z] = \frac{z(z - 3)}{z^2 - 6z + 8} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb7180b3-13bb-4561-b76b-5f7db5d8b25e%2Fc351220a-8f18-448e-b8bb-06178c23c64c%2F0t2ammw_processed.png&w=3840&q=75)
Transcribed Image Text:**(1). Find the z-transform for the following discrete-time signal.**
Diagram Explanation:
- The horizontal axis represents discrete time \( n \).
- The vertical axis represents the amplitude \( x[n] \) of the signal.
- The signal values are:
- \( x[-2] = 0 \)
- \( x[-1] = 0 \)
- \( x[0] = 0 \)
- \( x[1] = 1 \)
- \( x[2] = 1 \)
- \( x[3] = 2 \)
- \( x[4] = -1 \)
- \( x[5] = 0 \)
**(2). Find all zeros and poles for the following z-transform:**
\[ F[z] = \frac{z(z - 3)}{z^2 - 6z + 8} \]
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