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

Abstract: 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