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Consider the sequence x[n] = [-3, 0, –1, {10}, 1, 0, 3], where the number in {:} corresponds to n = 0. (a) Write down expressions for X(2) and X(w). your answer must be in cos and/or sin terms. Hint: ei0 + e-j0 = 2 cos(0), eðº e-jº = 2j sin(0). (b) Write down an expression for the magnitude squared spectrum |X(w)|². your answer must be in cos and/or sin terms. (c) Is the magnitude squared spectrum even or odd?

Consider the sequence x[n] = [-3, 0, –1, {10}, 1, 0, 3], where the number in {:} corresponds to n = 0. (a) Write down expressions for X(2) and X(w). your answer must be in cos and/or sin terms. Hint: ei0 + e-j0 = 2 cos(0), eðº e-jº = 2j sin(0). (b) Write down an expression for the magnitude squared spectrum |X(w)|². your answer must be in cos and/or sin terms. (c) Is the magnitude squared spectrum even or odd?

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider the sequence x n] =[-3,0, –1, {10}, 1, 0, 3], where the number in {·} corresponds to n = 0. (a) Write down expressions for X(2) and X(w). your answer must be in cos and/or sin terms. Нint: ej® te-jo je = 2 cos(0), ejo = 2j sin(4). (b) Write down an expression for the magnitude squared spectrum |X (w)|?. -e-jo your answer must be in cos and/or sin terms. (c) Is the magnitude squared spectrum even or odd?
Transcribed Image Text:Consider the sequence x n] =[-3,0, –1, {10}, 1, 0, 3], where the number in {·} corresponds to n = 0. (a) Write down expressions for X(2) and X(w). your answer must be in cos and/or sin terms. Нint: ej® te-jo je = 2 cos(0), ejo = 2j sin(4). (b) Write down an expression for the magnitude squared spectrum |X (w)|?. -e-jo your answer must be in cos and/or sin terms. (c) Is the magnitude squared spectrum even or odd?
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