Problem 2 Solely based on the lormulas a" tin) (n+1) a" ufn) y and dotermine the -transforms of the following sequences: (u) r(n} = (n-1) u[12]} (b) r[n] = (–1)"2" u[n] (c) rin] = cos(upn) u[n] %3D
Problem 2 Solely based on the lormulas a" tin) (n+1) a" ufn) y and dotermine the -transforms of the following sequences: (u) r(n} = (n-1) u[12]} (b) r[n] = (–1)"2" u[n] (c) rin] = cos(upn) u[n] %3D
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Can u do problem 2 ?
![Certainly! Here is the transcription suitable for an educational website:
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**EE306 HW6**
**HW5-3**
**Problem 1**
For the feedback system shown, determine the system function of \( Y(z)/X(z) \). Does the system have any poles on the unit circle in the z-plane?
**Problem 2**
Express the following in the form \(\sum A_k z^{-k}\):
(a) \(x[n] = (1/4)^n u[n]\)
(b) \(x[n] = (1/4)^n u[-n-1]\)
**Problem 3**
Determine the Z-transforms of the following sequences using the Z-transform pairs and properties formulas:
\((n+1) a^n e[n] \rightarrow \frac{z}{(z-a)^2}\)
\(\frac{(-a)^n e[n]}{2^n} - \frac{(-a)^{n+1} e[n]}{3^n}\)
Hint: Remember to express trigonometric and sin() expressions in terms of complex exponential functions.
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Transcribed Image Text:Certainly! Here is the transcription suitable for an educational website:
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**EE306 HW6**
**HW5-3**
**Problem 1**
For the feedback system shown, determine the system function of \( Y(z)/X(z) \). Does the system have any poles on the unit circle in the z-plane?
**Problem 2**
Express the following in the form \(\sum A_k z^{-k}\):
(a) \(x[n] = (1/4)^n u[n]\)
(b) \(x[n] = (1/4)^n u[-n-1]\)
**Problem 3**
Determine the Z-transforms of the following sequences using the Z-transform pairs and properties formulas:
\((n+1) a^n e[n] \rightarrow \frac{z}{(z-a)^2}\)
\(\frac{(-a)^n e[n]}{2^n} - \frac{(-a)^{n+1} e[n]}{3^n}\)
Hint: Remember to express trigonometric and sin() expressions in terms of complex exponential functions.
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