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重力场的克立格估值研究 被引量:9

Evaluation of gravity field using Kriging method
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摘要 重力无源导航通过重力图的匹配实现水下自主导航定位,对纠正惯导系统固有导航误差具有重要的意义.重力测量值通常是稀疏的,因此研究重力场的空间变异性和插值算法,获取重力场的连续分布图是重力无源导航的工作基础.提出将地质统计学中的克立格算法用于重力估值,并绘制重力分布等值线图.通过交叉检验法,将估值结果与用距离平方反比法的估值进行比较,结果表明克立格算法明显优于距离平方反比法.所做的研究是实施重力无源导航定位的基础,对下一步的重力图匹配及导航误差的修正具有重要的意义. Gravitational passive navigation is adopted to realize underwater autonomous navigation by using gravitational field map matching technique, which is important to correct navigational errors inherent in INS systems. Because of the sparse gravity measured, the spatial variability and the interpolation algorithm of gravity is studied for obtaining gravitational field contours that is the basic work for gravitational passive navigation. The Kriging algorithm used in geostatistics is adopted for gravitational interpolation and the gravity contours are provided. The results based on crossvalidation show that the performance of Kriging interpolation algorithm is superior to that of inverse distance square algorithm. It is the foundation of gravitational passive navigation and has considerable value on the gravitational map matching and the correction of navigational errors inherent in INS system.
出处 《哈尔滨工程大学学报》 EI CAS CSCD 2003年第3期249-252,共4页 Journal of Harbin Engineering University
关键词 重力无源导航 克立格法 变异函数 距离平方反比法 gravity passive navigation Kriging variogram inverse distance square
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