Development of a Target Evasion Region Having a Conditional Gaussian Distribution

摘要

A Gaussian-distributed target evasion region for rectangular coordinates is developed by employing a Rayleigh density function to model evasion speed changes and a uniform density function to model evasion course changes. The upper, infinite tail of the Rayleigh density is truncated at maximum target speed, resulting in a conditional Gaussian density function model of the target evasion region. The mean and variance for this positional density function are formulated to aid in determining new firing strategies based on evasion tactics. Selecting large values for the mode of the truncated Rayleigh density function allows for comparison with a ramp density function. The results show that, for this case, the truncated Gaussian density function approximates a uniform density function. Keywords: Antisubmarine warfare; Weapon firing strategies; Target motion analysis.