NAME: 1. A signal g(t) has the Fourier Transform G(w) = e u(w). Determine the Fourier Transforms of the following signals: (5) (a) g(t) est (b) g(t) cos(5t) (c) g(-t) (d) g(¹/2) EE 458 (e) ag(t) 2. Signal x(t) is shown below. (ii) x(2t - 2) 0 (a) Sketch the following signals: (i) x(4t) (iii) x(-3-t) 1 1 (b) What is the energy in the signal x(t)? 2 2 (6) 3. Determine the power in the periodic signal below: m 2 1 0 1 4. Determine the power in the following signals: (a) sin(3t) + 3 sin(t) (b) sin(3t) + cos(3t) 3 3 t (4) (2) 5. Determine the Fourier Transforms of the following signals: (a) sinc(nt/2) (b) 8() (c) sin²(2πt) 6. Solve the following integrals: (a) cos(t)8(t – π) dt (b) 8(t) dt -∞ t+1 4 (6) (2)