Question

Problem 4: For the following system uses an Ideal Band Pass Filter with a Gain of 1 () X 2(t) h(t) X Cos (2π 3t) 3 (t) BPF fe 30 Hz BW 12 Hz cos (2π 18 t) cos (2π 12 t) A. Write the equation for D1f) and draw an accurate sketch. 10 Points B. Write the equation for D2(f) and draw an accurate sketch 10 Points B. Write the equation for D3 (f) and draw an accurate sketch. 10 Points

Answer all parts and show all detail please.

Answer 1

At) btt) Cos (2x 3t) BPF Cas (27 18t) tos(27 12t) fe= 30Hz BIA= 12Hz - It i cuo temthe fiqune Cos (27 18t) Cos(27 3t) * domam aill HAuth im multilicat -Conurahitun intine -19m m tume domain Cos(,tEI. ww. FT Cos (9A 3t) 4(4-3) +al413). Slt 18) + 6(f#18)] 2 27 18t) E F.T tos Cas(2x3t) tos(2x 1st) 4 sef-8)+8€ffib} 1 + REDMINOTE C DDO

Blf-21) 8(f-15)+ 6lftl5) + 8(f#21)| MIGFT 4 4 *( 15 -21 f(Hk) -150 21 Nous we kmour F.T 27 12 t) Bff-12) + 8(412| tos 2 f(t)Co(27 lat) 8l4-15) + 814-21) tBlf+15) + 8lf:121]e. 4 Blf-2a) +6lf-3)+6Cf-3) + Alf-9) + 6lf +3) +8lf) + olf+9) +6j43)3 REDMI NOTE 5 PRO

27 33 -27 -L. 3 - 33 -3 ct hit & a band Po it aoth cannics trcauns 30 Hz amd Bond width 2 tiz 12t2 30 36 24 ho ts ustill tentain emly those mpukes uwhith Jior in to 36 H, untval 34 [6(f=2=) + 8lf-3)| Hune REDMI NOTE 5 PRO MI DUAL CAMERA

27 33