Find the Fourier transform of each function. In each case, a is a positive real

Chapter 17, Problem 17.3

(choose chapter or problem)

Find the Fourier transform of each function. In each case, a is a positive real constant. a) b) c) f(t) = te t 0. at, f(t) = te t 0, -at, f(t) = -te t 0. at, f(t) = 0, t 7 0, f(t) = e t 0. -atsinv0t, f(t) = 0, t 6 0, Answer: (a) (b) ; (c) -j4av (a2 + v2 ) 2 . 1 (a - jv) 2 v0 (a + jv) 2 + v0 2 ;