x(t) for k E N are given as follows (rest of the Fourier coefficients are zero fo kEN). 3 Co = 1, C₁ = ², C3 = 2j Write the signal x(t) in time domain and in simplified form (without any complex exponentials).
x(t) for k E N are given as follows (rest of the Fourier coefficients are zero fo kEN). 3 Co = 1, C₁ = ², C3 = 2j Write the signal x(t) in time domain and in simplified form (without any complex exponentials).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![fundamental period is given as To= . The non-zero Fourier coefficients of
x(t) for k E N are given as follows (rest of the Fourier coefficients are zero for
KEN).
3
Co = 1,
= 1, C₁
C3 = 2j
"
2
Write the signal x(t) in time domain and in simplified form (without any
complex exponentials).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6ec825b-ef7e-46eb-bc9c-be0ed2429eae%2Fcee7cf42-44ca-48c3-b123-e852d017e3f2%2Fxtov9wo_processed.png&w=3840&q=75)
Transcribed Image Text:fundamental period is given as To= . The non-zero Fourier coefficients of
x(t) for k E N are given as follows (rest of the Fourier coefficients are zero for
KEN).
3
Co = 1,
= 1, C₁
C3 = 2j
"
2
Write the signal x(t) in time domain and in simplified form (without any
complex exponentials).
![Fourier coefficients of the following signal. Also, write the signal in terms of
complex exponentials (i.e. using Fourier series).
x(t) = −2+ 4 cos(3t) cos(t – π/2) + 3 ej4t
[Hint: 2 cos(A) cos(B) = cos(A+B) + cos (A − B)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6ec825b-ef7e-46eb-bc9c-be0ed2429eae%2Fcee7cf42-44ca-48c3-b123-e852d017e3f2%2Fcf08sk_processed.png&w=3840&q=75)
Transcribed Image Text:Fourier coefficients of the following signal. Also, write the signal in terms of
complex exponentials (i.e. using Fourier series).
x(t) = −2+ 4 cos(3t) cos(t – π/2) + 3 ej4t
[Hint: 2 cos(A) cos(B) = cos(A+B) + cos (A − B)]
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