Question

1. Find Ex and Ey, the energies of the signals x(t) and y(t) for the given figure below. Sketch the signals x(t)+y(t) and x(t)-y(t). Show that the energies of either of these two signals is equal to Ex + Ey. (20 points) Vt) 2. Find the energies of the signals x(t) and y(t) for the given figure. Sketch the signals

Solve both parts of question 2

Answer 1

alt) 2 T Ex 19 = lacapº at 0 " (* dt + 5*" (=v* 84 de (-0) + (21-17) = T +=21T = 6.283 Y0) 2 T N 3 - > 3th * 0 - 4 "muret e l'armazenar por el Eylt) I co2dt t 3T12 = **p* +39 +49 +20 = 21. = 6:283

net) AH4JH) | L: M, 20 가 커 Ayle) | - - 퀼 | in IN Tel. 20 가 Energ님 4 ) = 20 f22dt = 4 . + 4 ae) - 9tt) = 4 () + 4 (2-) = IN + 4 (4 ) | 2 1 1 3732 랜 -20 + an=4T - 과 Energy st)-YLE) = 372 f (21²dt + | Eardt 면 - 4 time + 4 - 4(-2) + 4 (1 ) - A () () = 2T + 2T = 4T (4) 4yte) a enersy -4n = Em+Eye21 42 n = 4T () - ytt) - enersy = 4 - Erity = 20 4 L 24