地磁缓变区域的多维特征量匹配方法  

Matching of multi-dimensional feature elements in areas with smooth magnetic fields

作　　者：陈励华[1] 王仕成[1] 孙渊[1] 郑玉航[1] 刘志国[1] 

机构地区：[1]第二炮兵工程学院,西安710025

出　　处：《中国惯性技术学报》2011年第6期720-724,共5页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金青年基金项目(60904083)

摘　　要：地磁匹配方法对地磁场分布的特异性有很强的依赖性,地磁场变化平缓区域因特异性不足容易导致匹配失效。针对该问题,利用地磁场具有多个要素描述的特点,提出一种多特征量匹配的改进算法。同时测量航迹上地磁场多个要素,采用平均绝对差作相似性度量,建立多目标最小距离度量指标,进一步将多目标函数统一为加权组合的单目标优化问题,根据各要素地磁场变化特征给出实用的权系数赋值方法。仿真实验表明在单一特征量匹配概率仅有25%的平缓地磁区域,本文提出算法在特征量为三个的条件下可实现86%的较高匹配概率,从而降低了算法对匹配区域特异性的要求,并通过地磁场要素维数对匹配性能影响的数值仿真得到维数选择2-3为宜。The geomagnetic matching methods depend on particular distribution of geomagnetic field.Navigation may be failure in the region lacking geomagnetic fluctuation.To satisfy the demand of globe geomagnetic navigation,an improved algorithm for matching of multiple characteristic parameters is presented.Multiple elements of geomagnetic field along the track are measured synchronously.A multi-objective MAD（Mean Absolute Difference） function is applied to measure the similarity,and the function is further converted into a weight-based single objective function.The weight of various elements is calculated objectively by the suitability evaluation of the corresponding geomagnetic field.The experiment results show that this method can obtain 86% matching probability with triple elements even in the region where geomagnetic adaptability is so weak that matching probability is merely 25% with single element,which means that the geomagnetic field suitability requirement is decreased for the multi-element matching method.The effect of dimension of geomagnetic field elements on matching property is studied by numerical simulation,which shows that 2-3 elements are appropriate.

关 键 词：地磁匹配 相关性度量 地磁场要素 多目标优化 

分 类 号：U666.1[交通运输工程—船舶及航道工程]