Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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![## Problem Statement
Given:
\[ x(t) = \text{rect}(t) * \delta_1(t) \]
where \( T = 1 \).
**Task**: Use the CTFS (Continuous Time Fourier Series) table of transforms and properties to identify the CTFS harmonic function of the given periodic signal using the indicated representation time \( T \).
## Answer Choices
### Multiple Choice
1. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_1[k]\)
2. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_2[k]\)
3. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_3[k]\)
4. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_4[k]\)
This question involves choosing the correct Fourier Series harmonic function representation from the options provided.](https://content.bartleby.com/qna-images/question/dbb8af0c-abe4-42e5-b157-c6f61886cbce/a0b9846c-8618-4a56-9ff2-828be65cf7e2/8dq43un_processed.png)
Transcribed Image Text:## Problem Statement
Given:
\[ x(t) = \text{rect}(t) * \delta_1(t) \]
where \( T = 1 \).
**Task**: Use the CTFS (Continuous Time Fourier Series) table of transforms and properties to identify the CTFS harmonic function of the given periodic signal using the indicated representation time \( T \).
## Answer Choices
### Multiple Choice
1. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_1[k]\)
2. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_2[k]\)
3. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_3[k]\)
4. \(\text{rect}(t) * \delta_1(t) \overset{\text{FS}_1}{\longleftrightarrow} \delta_4[k]\)
This question involves choosing the correct Fourier Series harmonic function representation from the options provided.
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