In the case of noise alone, the quadrature components of a radar return are indepen- dent Gaussian

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In the case of noise alone, the quadrature components of a radar return are indepen- dent Gaussian random variables with zero mean and variance . Assume that the radar pro- cessing consists of envelope detection followed by threshold decision.

(a) Write an expression for the pdf of the envelope;

(b) determine the threshold Vr as a function of that ensures a probability of false alarm Pfa 10.

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