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.
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
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd07e8233-789e-4760-ba71-e70869af7b54%2Fc59928bf-ac28-45fe-a9d2-136749edd06c%2Fi3yudww_processed.png&w=3840&q=75)
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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