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- 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t)=G₁(f), 92(t) = G₂(f). (b) Find the Fourier transform of 100 sinc²(10t).Q1) Find Fourier transform for the following functions: b) y(t) = 5. (e-6t). 8(t – 8) + 6u(t + 8)Find the Fourier transform of -et +2 cos(t). (a) -2n 8(w+1) (b) 2n 8(w + 1) (c) -2m 8(w- 1) (d) 2m d(w – 1) () Mevingto anothe question will zave the response. Type here to search 三
- a) Find the Fourier Transform of f(x) √2лx³ ex = 2πx³еx, 0Based on the signals below, find the Fourier transform of x(t) for (a)-(e). -2 -1 x(t) 4 2 (a) -2 -1 x(t) 1 (c) x(t) 1 (e) 1 1 2 -2 -1 x(t) -2 -1 1 (b) x(t) -I (d) 1 2 2• Let: X1(Jw) = 2T8(w) + n8(w – 4n) + n8(w + 47) • Use the inverse Fourier Transform to find x;(t) and finally express x1(t) as a cosine function.Q11) Determine if 8 (t) and 8' (t) even or odd by utilizing properties of Fourier transforms. What are the value of 8 (t) dt and 8' (t) dt?Q1-B) suppose x(t) has Fourier transform X(w) = e¬w find Determine transforms of x(2t) and x(t + 1)2U. Use the Fourier transform synthesis equation to determine the inverse Fourier transform of: a) X,(e*) = E {2a8(w- 2nk)+ TỔ(w- -- 2 īk) +T8(w+- 5zk)} 3 4 X, (e") = 5j for 0SEE MORE QUESTIONSRecommended textbooks for youElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage