k=-M Q2. Consider a periodic signal x(t) with fundamental periodT = n, and Fourier series representation: M 6 (-1)* el2kt ,T(1 – 4k²) x(t) = k=-M a) Plot the Fourier series coefficients ak of the signal x(1) for k = -10:10. b) Plot x(t) over the interval t= -47:0.01:4n and for the following cases: 1. M= 1 2. M=2 3. М%3100 c) Plot the signal e(t) = |3cos(t)| - x(t) for M-1,2, and 100. Comment on the results %3D
k=-M Q2. Consider a periodic signal x(t) with fundamental periodT = n, and Fourier series representation: M 6 (-1)* el2kt ,T(1 – 4k²) x(t) = k=-M a) Plot the Fourier series coefficients ak of the signal x(1) for k = -10:10. b) Plot x(t) over the interval t= -47:0.01:4n and for the following cases: 1. M= 1 2. M=2 3. М%3100 c) Plot the signal e(t) = |3cos(t)| - x(t) for M-1,2, and 100. Comment on the results %3D
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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Question
![Q2. Consider a periodic signal x(t) with fundamental period T = n, and Fourier series
representation:
M
Σ
6 (-1)k
T(1 – 4k2)
x(t) =
ej2kt
k=-M
a) Plot the Fourier series coefficients ak of the signal x(t) for k = -10:10.
b) Plot x(t) over the interval t=-4x:0.01:4n and for the following cases:
1. M= 1
2. M= 2
3. М3D 100
c) Plot the signal e(t) = |3cos(t)| – x(t) for M=1,2, and 100. Comment on the results
obtained.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6106ecc-93bb-4005-b8ca-f482e19a8997%2F84b2ef1b-8bcb-4183-8321-9dbe2afbeba5%2Fzix8p1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2. Consider a periodic signal x(t) with fundamental period T = n, and Fourier series
representation:
M
Σ
6 (-1)k
T(1 – 4k2)
x(t) =
ej2kt
k=-M
a) Plot the Fourier series coefficients ak of the signal x(t) for k = -10:10.
b) Plot x(t) over the interval t=-4x:0.01:4n and for the following cases:
1. M= 1
2. M= 2
3. М3D 100
c) Plot the signal e(t) = |3cos(t)| – x(t) for M=1,2, and 100. Comment on the results
obtained.
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