Determine the Fourier series coefficients for each of the following discrete-time periodic signals. Plot the magnitude and phase of each set of coefficients a . (a) Each x[n] depicted in Figure P3.28(a)–(c) (b) x[n] = sin(27 n/3) cos(7n/2) (c) x[n] periodic with period 4 and x[n] = 1 – sin - for 0 sns 3 (d) x[n] periodic with period 12 and x[n] = 1 - sin - for 0 s ns 11
Determine the Fourier series coefficients for each of the following discrete-time periodic signals. Plot the magnitude and phase of each set of coefficients a . (a) Each x[n] depicted in Figure P3.28(a)–(c) (b) x[n] = sin(27 n/3) cos(7n/2) (c) x[n] periodic with period 4 and x[n] = 1 – sin - for 0 sns 3 (d) x[n] periodic with period 12 and x[n] = 1 - sin - for 0 s ns 11
Introductory Circuit Analysis (13th Edition)
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Question
![Determine the Fourier series coefficients for each of the following discrete-time
periodic signals. Plot the magnitude and phase of each set of coefficients a,.
(a) Each x[n] depicted in Figure P3.28(a)–(c)
(b) x[n] = sin(2an/3) cos(n/2)
(c) x[n] periodic with period 4 and
x[n] = 1- sin
for 0 s ns 3
(d) x[n] periodic with period 12 and
x[n] = 1 – sin
for 0 s ns 11
x[n]
-14
14
21 n
(a)
x[n]
18
-12
12
18
(b)
x[n]
TT#TT*TT"IT"TT#TT#TF
- 18
12
12
18
(c)
Figure P3.28](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffad55691-227b-46e9-83d3-d71e971e34a6%2F3dba184f-e328-4d74-86cc-e413a63145c1%2F122lse_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the Fourier series coefficients for each of the following discrete-time
periodic signals. Plot the magnitude and phase of each set of coefficients a,.
(a) Each x[n] depicted in Figure P3.28(a)–(c)
(b) x[n] = sin(2an/3) cos(n/2)
(c) x[n] periodic with period 4 and
x[n] = 1- sin
for 0 s ns 3
(d) x[n] periodic with period 12 and
x[n] = 1 – sin
for 0 s ns 11
x[n]
-14
14
21 n
(a)
x[n]
18
-12
12
18
(b)
x[n]
TT#TT*TT"IT"TT#TT#TF
- 18
12
12
18
(c)
Figure P3.28
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