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5.23. Let X(ejo) denote the Fourier transform of the signal x[n] depicted in Figure P5.23. Perform the following calculations without explicitly evaluating X(ej"): (a) Evaluate X(ejº). (b) Find XX(ejw). (c) Evaluate TX (e³®)dw. (d) Find X(eπ). (e) Determine and sketch the signal whose Fourier transform is Re{x(w)}. (f) Evaluate: TT (i) X(e)dw TT (ii) [ dX(ejw) dw TT dw -3 x[n] 2 -2-1 0 1 2 3 4 5 6 −1 Fig P5.23 7 8 n

5.23. Let X(ejo) denote the Fourier transform of the signal x[n] depicted in Figure P5.23. Perform the following calculations without explicitly evaluating X(ej"): (a) Evaluate X(ejº). (b) Find XX(ejw). (c) Evaluate TX (e³®)dw. (d) Find X(eπ). (e) Determine and sketch the signal whose Fourier transform is Re{x(w)}. (f) Evaluate: TT (i) X(e)dw TT (ii) [ dX(ejw) dw TT dw -3 x[n] 2 -2-1 0 1 2 3 4 5 6 −1 Fig P5.23 7 8 n

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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This is a practice question from the Signal and Systems course of my Electrical Engineering Program.

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5.23. Let X(ejo) denote the Fourier transform of the signal x[n] depicted in Figure P5.23. Perform the following calculations without explicitly evaluating X(ej"): (a) Evaluate X(ejº). (b) Find XX(ejw). (c) Evaluate TX (e³®)dw. (d) Find X(eπ). (e) Determine and sketch the signal whose Fourier transform is Re{x(w)}. (f) Evaluate: TT (i) X(e)dw TT (ii) [ dX(ejw) dw TT dw -3 x[n] 2 -2-1 0 1 2 3 4 5 6 −1 Fig P5.23 7 8 n
Transcribed Image Text:5.23. Let X(ejo) denote the Fourier transform of the signal x[n] depicted in Figure P5.23. Perform the following calculations without explicitly evaluating X(ej"): (a) Evaluate X(ejº). (b) Find XX(ejw). (c) Evaluate TX (e³®)dw. (d) Find X(eπ). (e) Determine and sketch the signal whose Fourier transform is Re{x(w)}. (f) Evaluate: TT (i) X(e)dw TT (ii) [ dX(ejw) dw TT dw -3 x[n] 2 -2-1 0 1 2 3 4 5 6 −1 Fig P5.23 7 8 n
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