Find Laplace transform of the periodic function f(t) given below. f(t) NAN 1.0 0.8 0.6 0.4 0.2 0 + 0 1 -2s e (1-e-2s) 1 S ( 1 -e-2s) e-28 s(1—e−2⁹) 1 0₁₁ (2²) S S 1 2s² 3 232) + 1 (² ( ) S 2s² -2s e s(1-e-2s) 7
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- H.W 1 (1) Find the Fourier transform of the signal shown in figure below. f(t) cos (5t) www f(t) = u(t) W₂ Using unit step 1+1 sanct) + costcan you solve this?Find the exponential Fourier Transform of the given function and write the function as a Fourier Integral, that is use Equation 7.12.2 to find g(x) and substitute this into the first integral in Equation 7.12.2. f(x) = {₁¹ -1 -π T (4.1)
- 2. Express a function f (t) in Fourier series in complex form and then convert it to trigonometric form. Let be the periodic function (t), defined by: (the equation shown in the image). a) Draw the graph of (t) valid for -4π1. The figure below is a piecewise continuous function of sine and square wave. Find f(t) representing both the piecewise continuous notation and its Fourier series. 1.5 0.5 -0.5- -1 -1.5 -2 -1.5 -1 -0.5 0.5 1.5 2 Time Answer for the Fourier Series. G- ) + sinnt + En=1( cos 2nnt + E1 ) sin(2n – 1)ntSolve both qs separately
- 134 Mathematics Second Year Electrical & Electronic Engineering Department Dr. Atheer Alaa Sabri Find the Laplace Transform of the following periodic functions (47's - 2)e?** + 47 s+ 2 s'(e?* –1) 2rS 2) f(1)=4x² -ť, (0Find the compact trigonometric Fourier series for the exponential e/2 shown in Fig. 2.2la over the interval 0Question 7 2a If the exponential Fourier transform of f(x) = e alxl Not yet answered Marked out of What is the Fourier transform of e alx *e bx| Flag question Oa. 4ab (a² +p²)(b² +p²) Ob. (a² + p?)(b² I p?) 2ab (a²+p²)(b² + p²) Od. (a² + p²)(b²+p²) 4.Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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