J Find the Complex term of Fourier series for the function: - 1/2 < x < T /2 f(x) = COSX -
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![Q1/ Find the Complex term of Fourier series for the function:
f(x) =
- T1/2 < x < T/2
= COSX
cosx
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- L 4 By using the properties, find the Fourier Transform for the signal shown in figure below. x(t) -3 -2 1. 1. 2.Consider a periodic signal a(t) with Fourier series coefficients Car period To = 1 and Co = -2 The transformation of x(t) gives y(t) where: y(t) = -5x(t - 3) +4 Find the Fourier coefficient Cky in terms of the Fourier coefficient C for k 0: Select one: O Cky = -5Ckejkö OCky Cze-jk2n/3 O Cky Czejk2n/3 O Cky = -5Ce-jkt Onone of these Cy=C₁₂e-jk6zKnow how to analyze a circuit’s response to a periodicwaveform The periodic square-wave shown on the top is applied to the circuitshown on the bottom.1. Derive the first four nonzero terms in the Fourier series thatrepresents the steady-state voltage vo if Vm=210π V and the periodof the input voltage is 0.2πms. 2. Which harmonic dominates the output voltage? Explain why.
- 1 Fourier series representation of æ(t) signal is given below x(t) = (1+ jk3n)elk3mt %3D k-5 Choose the wrong statement below. Select one: a. DC component of the signal is (1 + j3n). b. Second harmonic coefficient is (1 + j67) c. Fundamental frequency of r(t) is 37. d. It is a periodic signal with a fundamental period T = 2/3Q2. Suppose f(t) is represented by Figure Q2. Determine the Fourier Transform of the function using the derivative property. Abs -4 -3 -2 -1 0 1 2 3 4 5 6 Figure Q2Q2-A) Find Inverse Fourier transform of 6 f(t) : 3+jw Q2-B) Find the power of the following signal f(t) = (4 – cos t)Cos3t
- H.W. 2 D Find the Fourier expansion for the Function interyad -stIn the following, write out the Fourier series for the following. You should do the integrals yourself (show the steps), rather than just asking a program for the result. A. A triangular wave: -p < x < 0, f(x) = 0 0 < x < p, f(x) = x B. A half-wave rectifier -p < x < 0, f(x) = 0, 0 < x < p, f(x) = sin xFind the energy of the signal r(t) = tsinc²(t) by Fourier methods. %3DQ2-A) Find Inverse Fourier transform of f(w) B- Q2-B) Find the power of the following signal S(t) = sin?t Cos3t %3DQuestions 1-5 pertain to the signal c(t) below. mim c(t) 1. -TT TT What are the 0,n coefficients in the Compact Trigonometric Fourier Series of c(t)? All answers below are in radians. Hint: draw a vector diagram. The angle cannot be determined.4-For the follow signal: L 0 < t< 2K It. L y = f(t) = 2K < tSEE 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,