Single shot hit probability estimation as a result of the numerical solution of double integrals using Mathcad
Journal Title: Vojnotehnički glasnik - Year 2018, Vol 66, Issue 4
Abstract
A geometric interpretation of single shot hit probability (Phit) is a volume of 3D space enclosed above by the surface f(y,z) described the bivariate normal distribution and bounded from below by the YOZ plane with the target's contour (T-region). The Phit is proposed to estimate by a method based on the numerical integration of the double integral. Its integrand is the 2D normal distribution of Y, Z system of random variables. The dispersion characteristics and coordinates of the dispersion center are known in advance. Limits of first and second integrals are described by the analytic functions, which characterize the geometric shape of the Tregion. Implementation of the offered method: the selected shooting target is partitioned into N geometric subregions; for each of it, analytic formula(s) for the subregion's boundaries is determined and each double integral is defined. The Phit estimations are produced using a numerical integration in the computer software Mathcad. The results of the calculus of all Phits (for subregions) are added up (or subtracted) depending on the geometric relationships between them. The schema for numerically Phit solving makes it possible to calculate a likelihood for targets with arbitrary geometric shapes and not just rectangular-shaped silhouettes. For illustrating the operability of the proposed method, the Phit for two kinds of head-type shooting targets had been evaluated. The developed method had been compared with the already existing works.
Authors and Affiliations
Vadim Khaikov
Keywords
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- EP ID EP410841
- DOI 10.5937/vojtehg66-17433
- Views 91
- Downloads 0
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