Let (a) Find an expression for f (w) in terms of unit step functions u. f (w) = (b) The inverse Fourier transform of f (w) is where F(x)= and G(z) Use I for the imaginary unit i in Mobius. F (ƒ') = { i(4w−2w²), \w| <2, |w| > 2. Ƒ−¹ (ƒ (w)) =√√²/{F(x) sin(2xz) + G(z) cos(2x)},