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1. A periodic signal x(t) has a trigonometric Fourier series expansion: x(t) = ao + En=1 ancos nwot + bnsin nwot a- an are zero for all n and b, are zero for n even X b- an are zero for all n and b, are zero for n odd X c- an are zero for n even and b, are zero for n odd d- an are zero for n odd and b, are zero for n even 2- Let be f(t) a real, periodic function satisfy f(-t)= -f(t), The general form of Fourier series representation would be: a- f(t) = 1 bnsin nw,t 100 b- f(t)= ao + Σn=1 an cos nwot c- f(t) = En=1 an cos nwot d- f(t) = En-o bn sin nwot 3. Do exponential Fourier series also have Fourier coefficients to be evaluated. a) True b) False 4. What is a line spectrum? a) Plot showing magnitudes of waveforms are called line spectrum b) Plot showing each of harmonic amplitudes in the wave is called line spectrum c) Plot showing each of harmonic amplitudes called line spectrum d)All of the above 5. What is the disadvantage of exponential Fourier series? a) It is tough to calculate b) It is not easily visualized c) It cannot be easily visualized as sinusoid d) It is hard for manipulation

1. A periodic signal x(t) has a trigonometric Fourier series expansion: x(t) = ao + En=1 ancos nwot + bnsin nwot a- an are zero for all n and b, are zero for n even X b- an are zero for all n and b, are zero for n odd X c- an are zero for n even and b, are zero for n odd d- an are zero for n odd and b, are zero for n even 2- Let be f(t) a real, periodic function satisfy f(-t)= -f(t), The general form of Fourier series representation would be: a- f(t) = 1 bnsin nw,t 100 b- f(t)= ao + Σn=1 an cos nwot c- f(t) = En=1 an cos nwot d- f(t) = En-o bn sin nwot 3. Do exponential Fourier series also have Fourier coefficients to be evaluated. a) True b) False 4. What is a line spectrum? a) Plot showing magnitudes of waveforms are called line spectrum b) Plot showing each of harmonic amplitudes in the wave is called line spectrum c) Plot showing each of harmonic amplitudes called line spectrum d)All of the above 5. What is the disadvantage of exponential Fourier series? a) It is tough to calculate b) It is not easily visualized c) It cannot be easily visualized as sinusoid d) It is hard for manipulation

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Q1) Choose the correct answer 1. A periodic signal x(t) has a trigonometric Fourier series expansion: x(t) = ao + 1 ancos nwot + bnsin nwot a- an are zero for all n and b, are zero for n even X b- an are zero for all n and b, are zero for n odd X c- an are zero for n even and b, are zero for n odd d- an are zero for n odd and bn are zero for n even 2- Let be f(t) a real, periodic function satisfy f(-t)= -f(t), The general form of the Fourier series representation would be: a- f(t) = 1 bnsin nw,t b- f(t) = ao + Σn=1 an cos nwot c- f(t) = En=1 an cos nwot d- f(t) = -0 bn sin nwot 3. Do exponential Fourier series also have Fourier coefficients to be evaluated. a) True b) False 4. What is a line spectrum? a) Plot showing magnitudes of waveforms are called line spectrum b) Plot showing each of harmonic amplitudes in the wave is called line spectrum c) Plot showing each of harmonic amplitudes called line spectrum d)All of the above 5. What is the disadvantage of exponential Fourier series? a) It is tough to calculate b) It is not easily visualized c) It cannot be easily visualized as sinusoid d) It is hard for manipulation 6. Fourier series uses which domain representation of signals? a) Time domain representation b) Frequency domain representation c) Both combined d) Neither depends on the situation 7. Which of the following relations are true if x(t) is real? a) X(f)=X(-f) b) X(f)=-X(-f) c) X*(f)=X(f) d) X*(f)=X(-f)
Transcribed Image Text:Q1) Choose the correct answer 1. A periodic signal x(t) has a trigonometric Fourier series expansion: x(t) = ao + 1 ancos nwot + bnsin nwot a- an are zero for all n and b, are zero for n even X b- an are zero for all n and b, are zero for n odd X c- an are zero for n even and b, are zero for n odd d- an are zero for n odd and bn are zero for n even 2- Let be f(t) a real, periodic function satisfy f(-t)= -f(t), The general form of the Fourier series representation would be: a- f(t) = 1 bnsin nw,t b- f(t) = ao + Σn=1 an cos nwot c- f(t) = En=1 an cos nwot d- f(t) = -0 bn sin nwot 3. Do exponential Fourier series also have Fourier coefficients to be evaluated. a) True b) False 4. What is a line spectrum? a) Plot showing magnitudes of waveforms are called line spectrum b) Plot showing each of harmonic amplitudes in the wave is called line spectrum c) Plot showing each of harmonic amplitudes called line spectrum d)All of the above 5. What is the disadvantage of exponential Fourier series? a) It is tough to calculate b) It is not easily visualized c) It cannot be easily visualized as sinusoid d) It is hard for manipulation 6. Fourier series uses which domain representation of signals? a) Time domain representation b) Frequency domain representation c) Both combined d) Neither depends on the situation 7. Which of the following relations are true if x(t) is real? a) X(f)=X(-f) b) X(f)=-X(-f) c) X*(f)=X(f) d) X*(f)=X(-f)
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