QUESTION 2 Consider the following systems Si where S,(x [n])=x[n]+n? Szx [n])=x[n-1]. Which of the following is true. S(X [n])=S'(x [n])=x [n-1]+n?
QUESTION 2 Consider the following systems Si where S,(x [n])=x[n]+n? Szx [n])=x[n-1]. Which of the following is true. S(X [n])=S'(x [n])=x [n-1]+n?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![**Question 2**
Consider the following systems:
A diagram is shown with two interconnected systems, labeled \( S \) and \( S' \).
- **System \( S \):**
- Contains two blocks: \( S_1 \) followed by \( S_2 \).
- **System \( S' \):**
- Contains two blocks: \( S_2 \) followed by \( S_1 \).
Where:
\( S_1(x[n]) = x[n] + n^2 \)
\( S_2(x[n]) = x[n - 1] \)
Which of the following is true?
1.
\[
\begin{cases}
S(x[n]) = x[n - 1] + (n - 1)^2 \\
S'(x[n]) = x[n - 1] + n^2
\end{cases}
\]
2.
\[
\begin{cases}
S(x[n]) = x[n - 1] + n^2 \\
S'(x[n]) = x[n - 1] + (n - 1)^2
\end{cases}
\]
3.
\[
\begin{cases}
S(x[n]) = S'(x[n]) = x[n - 1] + (n - 1)^2
\end{cases}
\]
4. None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e3992ca-2280-40ba-b65a-68dc98c03d5d%2Fcc56afd0-99f7-4d94-b864-cf6b67bd24aa%2F9fbjw0m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 2**
Consider the following systems:
A diagram is shown with two interconnected systems, labeled \( S \) and \( S' \).
- **System \( S \):**
- Contains two blocks: \( S_1 \) followed by \( S_2 \).
- **System \( S' \):**
- Contains two blocks: \( S_2 \) followed by \( S_1 \).
Where:
\( S_1(x[n]) = x[n] + n^2 \)
\( S_2(x[n]) = x[n - 1] \)
Which of the following is true?
1.
\[
\begin{cases}
S(x[n]) = x[n - 1] + (n - 1)^2 \\
S'(x[n]) = x[n - 1] + n^2
\end{cases}
\]
2.
\[
\begin{cases}
S(x[n]) = x[n - 1] + n^2 \\
S'(x[n]) = x[n - 1] + (n - 1)^2
\end{cases}
\]
3.
\[
\begin{cases}
S(x[n]) = S'(x[n]) = x[n - 1] + (n - 1)^2
\end{cases}
\]
4. None of the above
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given : function in Discrete time domain
Find out the S and S'
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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