n-1 Select the correct Fourier Transform expression for x [n] = ()" 'u [n – 4] O (ej") = 6ejtu, 1-(;) 1 O (ejm) = 1 1-(;)e lee O (c") 1 = 6e jdw 1-(;)e* le ju O (u) = e j 1 1-(:)e -*
n-1 Select the correct Fourier Transform expression for x [n] = ()" 'u [n – 4] O (ej") = 6ejtu, 1-(;) 1 O (ejm) = 1 1-(;)e lee O (c") 1 = 6e jdw 1-(;)e* le ju O (u) = e j 1 1-(:)e -*
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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![**Problem Statement:**
Select the correct Fourier Transform expression for \( x[n] = \left(\frac{1}{6}\right)^{n-1} u[n-4] \).
**Options:**
1. \( Y(e^{jw}) = 6 e^{j4w} \frac{1}{1 - \left(\frac{1}{6}\right) e^{-jw}} \)
2. \( Y(e^{jw}) = \frac{e^{j4w}}{6} \frac{1}{1 - \left(\frac{1}{6}\right)e^{-jw}} \)
3. \( Y(e^{jw}) = 6 e^{-j4w} \frac{1}{1 - \left(\frac{1}{6}\right)e^{-jw}} \)
4. \( Y(e^{jw}) = \frac{e^{-j4w}}{6} \frac{1}{1 - \left(\frac{1}{6}\right)e^{-jw}} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de2b0ed-01a2-4a8a-9b30-8cd619de91d2%2Ffb8bd559-cb5d-436f-bf61-584cfc1aee52%2F3cmqzee_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Select the correct Fourier Transform expression for \( x[n] = \left(\frac{1}{6}\right)^{n-1} u[n-4] \).
**Options:**
1. \( Y(e^{jw}) = 6 e^{j4w} \frac{1}{1 - \left(\frac{1}{6}\right) e^{-jw}} \)
2. \( Y(e^{jw}) = \frac{e^{j4w}}{6} \frac{1}{1 - \left(\frac{1}{6}\right)e^{-jw}} \)
3. \( Y(e^{jw}) = 6 e^{-j4w} \frac{1}{1 - \left(\frac{1}{6}\right)e^{-jw}} \)
4. \( Y(e^{jw}) = \frac{e^{-j4w}}{6} \frac{1}{1 - \left(\frac{1}{6}\right)e^{-jw}} \)
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