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4.a Sketch the line spectra for the periodic signal x() shown in Figure 4.a. K 0 x(t) -K 1

4.a Sketch the line spectra for the periodic signal x() shown in Figure 4.a. K 0 x(t) -K 1

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Problem Statement:** 4.a Sketch the line spectra for the periodic signal \( x(t) \) shown in Figure 4.a. **Description of Figure 4.a:** - The graph depicts a periodic square wave signal. - The horizontal axis represents time \( t \). - The vertical axis is labeled \( x(t) \), indicating the amplitude of the signal. - The signal alternates between two levels, \( K \) and \(-K\). - The signal transitions between these levels at \( t = -1 \), \( t = 0 \), and \( t = 1\). **Graph Characteristics:** - From \( t = -1 \) to \( t = 0 \), the amplitude is \( K \). - From \( t = 0 \) to \( t = 1 \), the amplitude is \(-K\). - The signal repeats this pattern, indicating it is periodic. **Objective:** - Sketch the line spectra for the given periodic signal.
Transcribed Image Text:**Problem Statement:** 4.a Sketch the line spectra for the periodic signal \( x(t) \) shown in Figure 4.a. **Description of Figure 4.a:** - The graph depicts a periodic square wave signal. - The horizontal axis represents time \( t \). - The vertical axis is labeled \( x(t) \), indicating the amplitude of the signal. - The signal alternates between two levels, \( K \) and \(-K\). - The signal transitions between these levels at \( t = -1 \), \( t = 0 \), and \( t = 1\). **Graph Characteristics:** - From \( t = -1 \) to \( t = 0 \), the amplitude is \( K \). - From \( t = 0 \) to \( t = 1 \), the amplitude is \(-K\). - The signal repeats this pattern, indicating it is periodic. **Objective:** - Sketch the line spectra for the given periodic signal.
Expert Solution
Step 1: what is given and what to do:

Given:

a periodic signal, 

Electrical Engineering homework question answer, step 1, image 1

we need to sketch the line spectra for the above signal. 



Note:

For sketching the line spectra we need to find the Fourier series of the above signal. 


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