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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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. \( Y(e^{jw}) = \frac{e^{-j4w}}{6} \frac{1}{1 - \left(\frac{1}{6}\right)e^{-jw}} \)
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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