Find the inverse Fourier transform of f (w), A. f(x) = B. f(x) C. f(x) = D. f(x) = 1 E. None = sin a x 2 sin x = x 3 sin x x ƒ (w) = { √² 0 √2π if if w< 1 w > 1

Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time x(1) = = sinc(t) nt otherwise Fourie Transf.

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Q3) Verify that the Fourier transform of the function [1-x|, |x|1 a. Then Show that 2 sin u sin u b. Compute the integral 2 du sinu u is T 4 4 du sin² 2² (k/2) (4/2)² ƒ(k)=