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z (t) = rect (t) * 384(t) , T = 4 Using the CTFS table of transforms and the CTFS properties, Identify the CTFS harmonic function of the glven perlodic signal usling the representation time Tindicated. Multiple Cholce rect (t) * 354 (t) FS 0.75sinc ( rect (t) * 354 (t) FS 0.75sinc (k) rect (t) * 354 (t) 0.75sinc () rect (t) * 354 (t) 0.75sinc

z (t) = rect (t) * 384(t) , T = 4 Using the CTFS table of transforms and the CTFS properties, Identify the CTFS harmonic function of the glven perlodic signal usling the representation time Tindicated. Multiple Cholce rect (t) * 354 (t) FS 0.75sinc ( rect (t) * 354 (t) FS 0.75sinc (k) rect (t) * 354 (t) 0.75sinc () rect (t) * 354 (t) 0.75sinc

Introductory Circuit Analysis (13th Edition)
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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### Task Description **Equation:** \[ x(t) = \text{rect}(t) \ast 3\delta_4(t), \quad T = 4 \] **Instruction:** Using the CTFS table of transforms and the CTFS properties, identify the CTFS harmonic function of the given periodic signal using the representation time \( T \) indicated. ### Multiple Choice 1. **Option A**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}\left(\frac{k}{8}\right) \] 2. **Option B**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}(k) \] 3. **Option C**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}\left(\frac{k}{2}\right) \] 4. **Option D**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}\left(\frac{k}{4}\right) \]
Transcribed Image Text:### Task Description **Equation:** \[ x(t) = \text{rect}(t) \ast 3\delta_4(t), \quad T = 4 \] **Instruction:** Using the CTFS table of transforms and the CTFS properties, identify the CTFS harmonic function of the given periodic signal using the representation time \( T \) indicated. ### Multiple Choice 1. **Option A**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}\left(\frac{k}{8}\right) \] 2. **Option B**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}(k) \] 3. **Option C**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}\left(\frac{k}{2}\right) \] 4. **Option D**: \[ \text{rect}(t) \ast 3\delta_4(t) \cdot F_S\left(\frac{4}{4}\right) \cdot 0.75 \cdot \text{sinc}\left(\frac{k}{4}\right) \]
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