A radio-frequency signal is either a radar echo (hypothesis H) or a noise (hypothesis H). The...

   

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A radio-frequency signal is either a radar echo (hypothesis H) or a noise (hypothesis H). The received signal is modeled as a continuous random variable X whose pdf is as follows: 1 - T < u < T When Ho is true, X has pdf fx(u)={ 27 0, elsewhere When H, is true, X has pdf fx(u) ={ 27 –[1+ cos(u)], - < u < T 0, elsewhere The radar receiver measures X and decides which hypothesis is true. (a) Suppose the ML decision rule. Specify the range of X in favor of H in the decision. (b) Find Pfalse alarm and Pmiss in the ML decision rule. Note: Pfalse_alarm P(Hnoise) and Pmiss P(Hradar_echo) %3D %3D A radio-frequency signal is either a radar echo (hypothesis H) or a noise (hypothesis H). The received signal is modeled as a continuous random variable X whose pdf is as follows: 1 - T < u < T When Ho is true, X has pdf fx(u)={ 27 0, elsewhere When H, is true, X has pdf fx(u) ={ 27 –[1+ cos(u)], - < u < T 0, elsewhere The radar receiver measures X and decides which hypothesis is true. (a) Suppose the ML decision rule. Specify the range of X in favor of H in the decision. (b) Find Pfalse alarm and Pmiss in the ML decision rule. Note: Pfalse_alarm P(Hnoise) and Pmiss P(Hradar_echo) %3D %3D