3. The signal x[n] has spectrum X(ej«) as shown below. X(e j@) 1/2) 4. (i) Using geometry, determine the value of x[0]. (ii) By integration, determine the value of the energy Ex. (iii) Using a known result, write an equation for x[n]. Simplify your answer, distinguishing between the cases n = 0, n ± 0 even, and n # 0 odd.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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3. The signal x[n] has spectrum X(ej«) as shown below.
X(e jo)
1/2.
4.
-T
(i) Using geometry, determine the value of x[0].
(ii) By integration, determine the value of the energy Ex.
(iii) Using a known result, write an equation for x[n]. Simplify your answer, distinguishing
between the cases n =
0, n + 0 even, and n # 0 odd.
(iv) Using the graph of X(ej"), determine the value of
E x[n]
n=-00
(v) Using (iii) and (iv), determine the value of
S =
n2
n>0,0dd
Transcribed Image Text:3. The signal x[n] has spectrum X(ej«) as shown below. X(e jo) 1/2. 4. -T (i) Using geometry, determine the value of x[0]. (ii) By integration, determine the value of the energy Ex. (iii) Using a known result, write an equation for x[n]. Simplify your answer, distinguishing between the cases n = 0, n + 0 even, and n # 0 odd. (iv) Using the graph of X(ej"), determine the value of E x[n] n=-00 (v) Using (iii) and (iv), determine the value of S = n2 n>0,0dd
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