1. The Fourier transform of f(t) = F(w) = e-alwl = F(w) 10 5 -60 -aw where a > 0. Let a = 0.3 and we = 25. F(w) is shown below. Notice that F(0) = = e w≥0 a TT eaw, w<0 a t²+a² -40 is given by -20 اليا 20 40 60 a) Find and plot the Fourier transform G(o) of g(t) = f(t)ej25t for -60 ≤ ≤ 60. b) Find and plot the Fourier transform H(o) of h(t) = f(t) cos(25t) for -60 ≤ ≤ 60. c) Find the 3 dB bandwidth of F(co).
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- Fourier transform of the signal ejwo(t-to). Select one: a. 27 S(@ + wo) e-jWoto O b. 27 8(w – w.) e-iWato C. 27 8(w – wo) e jWo d. None of the answers e. 271 8(w + @) e W.Q1: 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 -aL 4 By using the properties, find the Fourier Transform for the signal shown in figure below. x(t) -3 -2 1. 1. 2.
- XICO -4 P<Ł) n write 4 t the equation For above. graph p(t) in term of act/%) and 0 (t/Y₂) and in the process. Find value For Y₁ and Y₂) @ Find Fourier trons Form? S Calculate ***** energy of graph.....b) For the following two square-shaped signals, how would the frequency spectrum look like after applying Fourier Transform? Explain. t tHome R2: Obtain the Fourier Transform to the rectangular pulse of duration 2 second and having a magnitude of 10 volts. Please ... write the steps mathematically and in order
- Find Fourier transform for: rect(t – 2). cos (500t) Select one: O a. F(rect(t – 2). cos(500t)) = e+2j" [sinc- ロ-500 + sinc W+500 %3D O b. F(rect(t – 2). cos(500t)] =e 25(w–500) sinc"-00 O . F[rect(t – 2). cos(500t)] = (sinc +e 25(w+500). sinc"t500 2 2 w-502 W+498 + sinc- O d. F(rect(t – 2). cos(500t)] = (e+2j(w–500). . +et2j(w+500) sinc"+500 sinc W-500 O e. F(rect(t – 2). cos(500t)) = e+500ju[sinc", + sinc) w-2 w+2 O f. F(rect(t – 2). cos(500t)] = e-ju [sinc- -2ju -500 + sincs00 0十500 500jw g. F(rect(t – 2). cos(500t)] = 2[sinc+ sinc1) A periodic continuous time signal x(t) with period To=9 is shown in Figure-1. a. Calculate the Fourier Series representation of x(t), find the Fourier Series coefficients. x(t) -7 -2 7 -1 To b. Calculate the Fourier Series representation of the following signals: x(t-1) x(-t) dx/dt 1. 2.Find Fourier transform for: rect(t – 2).cos(500t) Select one: O a. F(rect(t- 2). cos(500t)] = He-2j(w-500). sinc" +e 2}{w+500) sinc500 %3D w-500 -500 jw O b. F(rect(t – 2). cos(500t)] = ! 2 sinc", + sinc"] w+2 O . F(rect(t - 2).cos(500t)] = e500ju [sinc", + sinc" O d. Frect(t- 2). cos(500t)] = (e+23(w-500) sinc -500 +e+2j(w+500). sinc"+500 O e. F[rect(t – 2). cos(500t)] =e*2j [sinc ロ-500 + sinc"500 %3D O f. Frect(t - 2). cos(500t)] = (sinc w-502 + sinc w+498 g. F(rect(t-2). cos(5004) =e-2j" [sinc" to-500 + sinc"t500 %3D 2A 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 <<SEE 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,