Given a periodic function below. Find a + b + C + d. I (1) the Fourier Series of the periodic function below is given by: a c cos(mt)- sin(mt) n-13.5. -2 -1 2
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- Fourier Series problem: Consider the waveform f (t) shown below and obtain its cosine/sine Fourier Series Representation. A = 4. b. a. plot the amplitude line spectrum for the first five non-zero terms. AÅA. t (s) -6 -2 4 6 81. The Fourier series of a real periodic function has only 1) Cosine terms if it is even2) Sine terms if it is even3) Cosine terms if it is odd4) Sine terms if it is oddWhich of the above statements are correct?a- (1) and (4),b- (1) and (2),c- (2) and (4),d- (2) and (3)H.W: Find the Fourier series for the following periodic functions 14) f(t) = sint,-n3(a)Define Fourier Series. Discuss an application of Fourier series. (b) Obtain the Fourier coefficients of first three harmonics of the following periodic function: 10 -3 -2 -1 0 1 2 3 4 5Q#3: What are the Fourier coefficients? How does Fourier series make it easier to represent periodic signals? What is the impulse response and how it is used for Fourier analysis? Explain in detail. i)Consider the Fourier series for the periodic function: (t) = sin(4t) + cos(8t) +7+ cos(16t) The Fourier coefficient C_1 of the exponential series is: Select one: O 0.5e O 0.5e/2 O 0.5 O 0.5e j/2Find the Fourier series of the waveform shown below. f() E -2 -1 2. -E: Find the Fourier series for the periodic function defined by : [x² 0A voltage waveform v(t) is shown in Figure 1(a). By using Fourier Series, evaluate the v(t) representing the waveform up to the fifth harmonic. (a) v (t) 2 1+ -6 -5 -4 -3 -2 -1 1 2 Figure 1(a)The Fourier series coefficient for the periodic signal x(t) = 8 cos(t) sin(4t) are A. C3 = C5 =-j, C_3 = C_5 = j, all other coefficients are zeros B. C3 = C5 =j, C_3 = C_5 = - C. C C_1 = 1, C = C_4 = D. C3 C5 = -2j, C_3 = C_5 = E. C3 = C5 = 2j, C_3 = C_5 =- %3D -i.all other coefficients are zeros i. all other coefficients are zeros %3D - C. 21. all other coefficients are zeros %3D 2j. all other coefficients are zeros OL APlot the signal a(t) = 2, 9sin (2n3t) x [u(t - 1) – u(t - 3)]. IMPORTANT: To accurate drawing, find value of the sine function at t=1. Pay attention to the frequency of the signal when drawing. Write values of amplitude and time axis. Sloppy drawings are invalid.Q1/ For the function shown below, find the trigonometric Fourier series form. f(t) = t2 - ASEE MORE QUESTIONSRecommended textbooks for youIntroductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationFundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,