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Consider the discrete-time signal x[n] shown below. Let its DTFT be denoted by X (ein). 4-3 -2 (a) Evaluate X(ejº) (b) Evaluate X(ejπ) (c) Evaluate SX (e³³)dN 5 3 1 -1 -3 x[n] 1 • 2 3 4 n where x[n] is zero outside the interval from −4 to +4. Perform the following calcula- tions (for some of them, you may not need to computing the DTFT itself): (d) What values can ZX(e) take? (e) Determine and sketch the signal whose DTFT is Im[X(e¹¹)] (f) Evaluate (X(en)) ² dn

Consider the discrete-time signal x[n] shown below. Let its DTFT be denoted by X (ein). 4-3 -2 (a) Evaluate X(ejº) (b) Evaluate X(ejπ) (c) Evaluate SX (e³³)dN 5 3 1 -1 -3 x[n] 1 • 2 3 4 n where x[n] is zero outside the interval from −4 to +4. Perform the following calcula- tions (for some of them, you may not need to computing the DTFT itself): (d) What values can ZX(e) take? (e) Determine and sketch the signal whose DTFT is Im[X(e¹¹)] (f) Evaluate (X(en)) ² dn

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 discrete-time signal x[n] shown below. Let its DTFT be denoted by X (ein). 4-3 -2 (a) Evaluate X(ejº) (b) Evaluate X(ejπ) (c) Evaluate SX (e³³)dN 5 3 1 -1 -3 x[n] 1 • 2 3 4 n where x[n] is zero outside the interval from −4 to +4. Perform the following calcula- tions (for some of them, you may not need to computing the DTFT itself): (d) What values can ZX(e) take? (e) Determine and sketch the signal whose DTFT is Im[X(e¹¹)] (f) Evaluate (X(en)) ² dn
Transcribed Image Text:Consider the discrete-time signal x[n] shown below. Let its DTFT be denoted by X (ein). 4-3 -2 (a) Evaluate X(ejº) (b) Evaluate X(ejπ) (c) Evaluate SX (e³³)dN 5 3 1 -1 -3 x[n] 1 • 2 3 4 n where x[n] is zero outside the interval from −4 to +4. Perform the following calcula- tions (for some of them, you may not need to computing the DTFT itself): (d) What values can ZX(e) take? (e) Determine and sketch the signal whose DTFT is Im[X(e¹¹)] (f) Evaluate (X(en)) ² dn
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