4.1. In the case of noise alone, the quadrature components of a radar return are independent Gaussian

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4.1. In the case of noise alone, the quadrature components of a radar return are independent Gaussian random variables with zero mean and variance .

Assume that the radar processing consists of envelope detection followed by threshold decision.

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

determine the threshold as a function of that ensures a probability of false alarm .

ψ2 VT ψ

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