Sliding Window Detection Probabilities

A method is proposed for computing sliding window detection probabilities which have applications in track-while-scan acquisition logic and radar detection theory. The sliding window probability is the probability of achieving m successes out of n consecutive events at least once by the Nth opportunity. Expressions are derived for these probabilities as a function of N and p (the per-event success probability) for 1 ⩽ n ⩽ 4 and m ⩽ n. Tabulated results are presented for the mean and standard deviation of the detection delay associated with each m/n logic.