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- Explain the role played by Fourier's theory, with a special reference to Fourier synthesis and Four analysisWhich of the statements given below is false? A) Harmonics of a voltage or current are found with the help of fourier analysis B) In Fourier analysis of double symmetry current waveform sin (wht) harmonics are zero C) None D) In the current waveform with half-wave symmetry, even harmonics are zero E) In most power electronics circuits, the higher the harmonic frequency, the higher the harmonic amplitude.Q5: Write a representation of f (t) shown below as a complex exponential fourier series. Over interval (0,2) f(t) Over interval (-4, 4) 38 2 Ans: (a) f(t) = E- -e/nwot jnn 100 n=-00 (b) f(t) =(+ e-e + .+ e + ... .2 3 2. 2.
- 1. Find the Fourier transtorm at the following: b- fcaig) = sin (2 ñ x) Cos(5ry) f(x.y) = S(xcoso+ysin @-8) ニ C - %3DQ1: For the signal x(t), shown in figure beside. r (t) i) Find Fourier Transform X(w) ii) Sketch amplitude and phase spectrum of X(w) -b -aA portion of a repetitive voltage (E(t)) waveform is :shown below. Find The type of waveform ?symmetry а. ?b. Fourier coefficient an ?c. Fourier coefficient bn ?d. The average voltage is Note: please show your <<1 Ii. ln. f g O * :The answer is What kind of functions is the funetion shown in this figure? a) Even b) Odd c) Neither odd nor even d) None of them a b d e f g O * ;The answer is What is the value of (d.) for Fourier Cosine Series of the function /(x) - /2 w/2Question 5 For the Discrete Time signal x[n] given below in Figure Q5, determine the Fourier Series coefficients of the signal (use the defining equation for the Fourier Series coefficients) x[n] ... -4 -2 2 4 6 Figure Q5Q5. For the following periodic signal find: t S(1) -3 -2 -1 ol 4 1. The fundamental period and frequency 2. The Fourier series coefficient a,,a,,b, 3. From the results in 2. Find the complex exponential coefficient C, 4. Draw the line spectra of the magnitude and phase of C,Q10) Find inverse Fourier transform of X (w) = j2nd' (w).EXPONENTIAL FOURIER SERIES DSP ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).If the signal has a spectrum (Fourier transform) given in Figure Q3, draw the spectrum of the sampled signal when the sampling rate is 25% higher than the Nyquist sampling rate; draw the spectrum of the sampled signal when the sampling rate is the same as the Nyquist sampling rate. Spectrum 1 -6 f (kHz) Figure Q3SEE 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,