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用谱分解法求解自适应因子值
引用本文:黄贤源,隋立芬,刘麦喜.用谱分解法求解自适应因子值[J].测绘科学,2008,33(1):48-50.
作者姓名:黄贤源  隋立芬  刘麦喜
作者单位:解放军信息工程大学测绘学院,郑州,450052;解放军信息工程大学测绘学院,郑州,450052;解放军信息工程大学测绘学院,郑州,450052
摘    要:在序贯平差自适应因子取值范围确定的情况下,以均方误差作为评判未知参数解优劣的标准,利用谱分解的方法求该范围内最佳的自适应因子值,并给出了相应的计算步骤和公式推导,为了说明该方法的正确性和合理性,将它与方差分量估计法进行计算和比较。结果证明利用该方法求解出的自适应因子值不仅使均方误差达到最小,而且使求解后得到的结果具有一定的实际意义。

关 键 词:谱分解  均方误差  自适应因子
文章编号:1009-2307(2008)01-0048-03
收稿时间:2006-11-08
修稿时间:2006年11月8日

A method of measure the result of the adaptive factor by decompounding spectrum
HUANG Xian-Yuan,SUI Li-Fen,LIU Mai-xi.A method of measure the result of the adaptive factor by decompounding spectrum[J].Science of Surveying and Mapping,2008,33(1):48-50.
Authors:HUANG Xian-Yuan  SUI Li-Fen  LIU Mai-xi
Abstract:With definite range of adaptive factor in the real-time sequential adjustment, the mean square error is used as a criterion to judge whether the result is good or bad.Then a method of calculating the adaptive factor by decompounding spectrum is proposed and the formula is deduced.In order to illuminate the correctness and rationality, a contrast between this method and the approach of robust estimation principle is presented.It is shown by the calculation that the value of the adaptive factor makes the mean square error least, and the results subsequently by the way have the actual meanings.
Keywords:decompounding spectrum  mean square error  adaptive factor
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