Question: Show that the detection probability for a SW (1 & 2) target is given by the equation [ P_{D}=exp left{frac{ln left(P_{f a}ight)}{1+S N R}ight} ]

Show that the detection probability for a SW $1 \& 2$ target is given by the equation

\[
P_{D}=\exp \left\{\frac{\ln \left(P_{f a}ight)}{1+S N R}ight\}
\]

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