Detection rate optimization for Swerling 0, I, and III target models

In this work, we study the fundamental tradeoff between integration time and scan rate in coherent radars. The contrasting needs for a large probability of detection and a short scan time are carefully balanced by optimizing the detection rate, defined as the average number of detections from a target per unit of time. A solution for the optimum pulse train length is provided under Swerling 0 (non-fluctuating), Swerling I (χ₂ with two degrees of freedom), and Swerling III (χ₂ with four degrees of freedom) target fluctuation. Some examples are given to show the possible tradeoffs among the principal system parameters.