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

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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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