[ P_detect(O) = \fracLS \quad \text(for random target position) ]
[ K = \left\lceil \fracS - L\Delta \right\rceil + 1 ] search window offset
If the target signal is uniformly distributed within the search space, the probability ( P_detect ) that the target lies within a specific window starting at offset ( O ) is: [ P_detect(O) = \fracLS \quad \text(for random target