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混合整数线性模型的最小二乘解及其应用分析 被引量:1

Least Square Solution of Mixed Integer Linear Model and Its Application Analysis
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摘要 全球卫星导航系统整周模糊度解算最终归结为一个混合整数线性模型的求解问题。给出了求解混合整数线性模型最小二乘解的基本过程和由整体最优搜索准则推导出最小二乘模糊度搜索准则的简化过程,讨论了整数解的验证及其在实际应用中存在的问题。最后结合GPS实测数据的处理结果,分析了降相关变换和ratio检验在模糊度解算过程中所起的作用。 Integer ambiguity resolution of Global Navigation Satellite System(GNSS) came down to solving the mixed integer linear model.The process to solve the mixed integer linear model under the least square criterion were presented and the least square ambiguity search criterion was derived from the total optimal search criterion.The integer ambiguity validation and the problem when it was used in practice were analyzed.The effect of decorrelation transformation and ratio test on ambiguity resolution procedure was demonstrated by the real GPS data.
出处 《测绘科学技术学报》 CSCD 北大核心 2013年第3期241-246,共6页 Journal of Geomatics Science and Technology
基金 国家自然科学基金项目(41020144004 41104022 41274045) 国家863计划项目(2013AA122501) 第三届中国卫星导航学术年会青年优秀论文获奖者资助课题(CSNC2012-QY-3)
关键词 混合整数线性模型 最小二乘搜索准则 整体最优搜索准则 降相关变换 整周模糊度验证 mixed integer linear model least square ambiguity search criterion total optimal search criterion decorrelation transformation integer ambiguity validation
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