Q1. Find the Fourier Transform for the following non periodic function. 1, - 1 1
Q: x (t) = 28(t + 2) — 26(t − 2) – rect ( ct (¹+¹) So, dF(t) dt (0) F₁ (1)+F₂ (1). t) (+)......... F(1)…
A: First thing is this the obtained F1(w) is not correct bcoz it's not 4JSin2w it will be 4JSin2w.
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Q: -t 0<t< 1 Q3: For the periodic function ƒ (t)={ o 1<t < 2 1. Find the half-range Fourier cosine…
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Q: 9. Prove the following Fourier Transform properties: x(t) d" · x(t) x(t — а) ej2n fot . x(t) X(f) =…
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Q: (i) Show that the Fourier transform of 8(t-a) = e¯jwa (ii)Prove the inverse of the above expression…
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Q: Problem 1. Derive the translation identity for the Fourier transform, f (t -a) → f (k)e-iwa Hint:…
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Q: Example 6: Find the convolution of the sequences I x₁ (n) = x₂ (n) = {1, 1, 1) A
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Q: 2. Find the Fourier Transform of f(x) = f(x) = x 0
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Q: Q3\ A. Find the Fourier transform for the function shown in the figure (2) 3 X(1) H 3
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Q: Find the Fourier series for the periodic function giving below: -1, -I <t<-T/2 x(t) 0, -/2 <t< n/2…
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Q: A continuous-time signal, x(t), has a Fourier transform denoted by X (w), and is expressed as: a)…
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Q: X = 28(t + 2) — 25(t − 2) — rect (¹+¹). - So, dF(t) dt · = F₁ (t) + F₂ (t) 2 (+)........ F₁ (w) Fit…
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Q: A continuous-time periodic signal x(t) is real valued and has a fundamental period T = 8 seconds.…
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Q: Find the Fourier transformed flx 1 f(x) = { a if a<x<b otherwise
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Q: b) Find an expression for the signal, x(t), written in terms of t and trigonometric functions of t.…
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Q: Compute the inverse Fourier transform for X()=sin²30
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Q: Q3: Find the Fourier transform for and plot |X(f)|: x(t) = 4 sin(8t) e-11t rect(t/6)
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Q: 4. Compute the inverse Fourier Transform corresponding to the following transforms. (a) X(9) = (1– )…
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- It is passible to answer quickly and clearlyConsider the following system. x[n] - oblem 70 Plot the output y[n] for n = -2,..., 2 when the input x[n] is the periodic input shown below. x[n] 1 1 P -2- -1-1 I 1 O -1/₂ D 2 -1-1 1 4 -1 y [n] n 9mQUESTION 3 A signal m(t) is given by: m(t) = 8 4 4 -1< t < 1 -2 < t < -1 1i need the answer quicklyerror, including expr Q1: Solve or choose the best answer. 1- The Fourier transform of the signal 8(t+1) +8(t-1) is a. 2/(1+jw) b. 2/(1-jw)) /C. 2 cos @ d. 2 sin w 2- For a periodic signal f(t) = 30 sin 1000t + 10 cos 3000t + 6 sin (5000t + 4), the fundamental frequency in rad/s is - i. 1000 ii. 3000 iii. 500 iv. 5000 3- The 1. ii. and notation errors, trigonometric Fourier series of an even function does not have The de term. The cosine terms iii. The sine terms iv. The odd harmonic terms 4- Find the possible values of a and b in the expression u(x, t) = = cos (at) sin (bx) such that it satisfies the wave equation. 5- The Inverse Fourier transform of the л(w-4л) + л8(w+4л) is_ i. 21 (1-сos 4rt) ii. π (1-сos 4rt) iii. 1 + cos 4лt iv. 2 x (1 + cos 4rt) 6- The value of 24 dz, where c: |z-j2| = 1 is will be: z²+4 i. 0 ii. π/2 iii. π iv. 1/5 of time Both sinh(z) and cosh(z) are entire functions. Neither sinh(z) nor cosh(z) are entire functions. signal 278(W) + 7- For a complex variable…1. Suppose v(t) = f(t) * g(t) with f(t) = Σ δ(t − 4n) n=-x (a) Find a Fourier series representation for f(t). and g(t) = p₂(t).Question 4. The Fourier transform of ƒ(t) is F(w) = 5e-6jw wj 3 2 + Using the Convolution Theorem, find ƒ(t) in the form f(t) = A H(tto)ect+D and enter the values of the constants A, to, C and D, as integers. Enter A: Enter to: Enter c: Enter D: 00001. 2. x[n]=cos [n] Plot and show that it is periodic. A continuous-time signal x( t ) is shown below. Sketch and label each of the following signals. (a) x(1)u(1-1); 1 1 2 1Two continuous signs of x1(t) and x2(t) are given below. Using the definition of the sign x(t) given below, find the Fourier transform of the sign x1(t) and sign x2(t). X,(t) x,(t) x (-t) x (t) tx (t) -1 1 1 = { ſe-2t, 0, if 0Problem 2 Consider the signal x(t) = -1, 1, 0. -2 < t <-1 11. Find the inverse Fourier transform of: x(f)= where is a Fourier transform pair. 1 a+j2xf exp(-at) x u(t)= = 1 a- -j2πf 1 a+j2nfCalculate the Fourier transform of the following 2D functions: b b аSEE 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,