Exercise (3-2): find Fourier series on [0,2n] Question Answer (1) f(x)=x/2 sin nx (2) f(x)= -x sin nx (3) f(x)=sin x sin x (4) f(x)= cos x COS X 2 -COS nx n -1 (5) f(x)%=xsin.x -1+ 6) f(x)=xcos x 2n(-1)" sin(nx) H(n-1)(n +1) 0
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- Find the magnitude-phase form of the given Fourier series: y=2+3cos(2t)+5cos(6t)+8cos(8t)+4sin(2t)−9sin(4t)+12sin(8t) The magnitude-phase form is given by y= Round the magnitudes and phase angles to 3 significant digits.Item 3 Calculate the Fourier Series of Periodic Functions from the given figure. Find the Amplitude and spectra. Find the Vo(t) response of the circuit. 42 4 ww- 2H vo(t) -4 -3 -2 -101 3 4 5 6 t T =... a,... a =... b = Fourier Series (t) = .... Amplitude and Phase spectra = when n = 1,2,3,4,5,..(graph) %3D O =...... The response Vo(t)=..when n= 1,2,3,4,5,... 2.15 2.000 sin(4t-359 (Round the final answer to four decimal places and include a minus sign if necessary.) The Fourier coefficients an, a₁, and b₁ are and
- Specify the types of symmetry for the signals shown in Figure a,b,c,d. Specify also which terms in the trigonometric Fourier series are zero.Show whether π - x⁴, -1< x < 1 A fourier series odd or even functionHow do I find the Fourier Series coefficients for x(t) = 5 + cos(2pi*t + pi/4) + sin(3pi*t)? What is the period and the fundamental frequency?
- Exercise (3-2): find Fourier series on [0,2n] Question Answer (1) f(x)= x/2 sin nx 2. (2) f(x) = -x 2 sin nx (3) f(x)=sinx sin x (4) f(x) = cos x COS X (5) f(x)= xsin x 2 COS nX -1+ n -1 5 2n(-1)* (n-1)(n +1) (6) f(x)=xcos x sin(nx) 0 (7) f(x) = 1 1-(-1)" sin nx 0Find the Fourier Series Representation of f(eitheta) = 1/13-12 cos(theta)Question 8 An even function decomposed in Fourier series has cosine components. True FalseExercise (3-2): find Fourier series on [0,2n] Question Answer (1) f(x)=x/2 sin nx (2) f(x)= -x sin nx (3) f(x)=sinx sin x (4) f(x) = cos x COS X (5) f(x)=xsinx 2 -COS nx n -1 -1+ (6) f(x) = xcos x 2n(-1)" sin(nx) (n-1)(n +1) sin nx 0Determine the Fourier series expansion of the rectangular pulse train below. Ax) +1 ... 1 -1 2.Experiment: 1) Write a MATLAB program to find the single side spectrum of the following periodic signal: 4. 1 -1 -2 -3 -2 -1 1 3 4 2) Write a MATLAB program to find the single side spectrum of the following periodic signal: 2 1 -1 -2 -3 -4 -2 -1 1 2 4 5 6SEE 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,