A radar system uses a threshold detection criterion. The probability of false alarm is (P_{f a}=10^{-10}). (a)

Question:

A radar system uses a threshold detection criterion. The probability of false alarm is $P_{f a}=10^{-10}$. (a) What must be the average SNR at the input of a linear detector so that the probability of miss is $P_{m}=0.15$ ? Assume a large $S N R$ approximation. (b) Write an expression for the $p d f$ at the output of the envelope detector.

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