Question

6. Siw (t)=1, Ostsi A radar system is being designed to identify airborne objects. It is found that the radar system output generates the following waveforms based on four expected objects (birds, commercial airliners, friendly fighter jets, enemy fighter jets). Assume that only AWGN with zero mean and No/2 power spectral density corrupts the received radar signal. 1, Osts5 0, 13t<5 Seneny jet fighter (t)= " 10, elsewhere 1, Ostsi -3, Ostsi S friendly jet figher(t) = 2 Scommercial airline (1) 1-1, 1st 35 1-1, 1st55 a. Determine the orthogonal basis functions for the four waveforms. b. Determine the signal space representation of the signals. C. Compute the average symbol energy of the system.

Answer 1

symbol energy , = (amplitde)2 x time periode

ene Shird & Seremy jet fighter Strecently Jet fighter Scommeseral sustine – Sa Sa 54 emme svial auline SEL Eneyy &, = AT Salt a {=5 S3 (t) it 5 E ₂²5

Ex = 13 a) bans fuckboi, 4(H)si Otel o elsewhere. & af rets5 L o else where". > V

b) skl= falu (10) [ty = 4,8344 HJ — C,1) $(t) = 4,8) – 444→ (1-1) Salty = -346)=Yz(t) -63,-1) 3,4-4,00. SW = (01) Szlty = (1,1). Salt=63,-1) -- -3

eu ) дышице 5 most way of system, Fang ' sum of a a Eaug = 12 + ( engyst symbols) Eary = xx (1+5+5+13) Eng= 6