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- 2016
总体最小二乘联合平差
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Abstract:
提出了将总体最小二乘方法应用于联合平差的模型，推导了附有相对权比的总体最小二乘联合平差方法。采用了多种方案来确定相对权比的大小。以参数估值与真值的差值范数作为评价指标，分析比较了单一数据总体最小二乘平差和两类数据总体最小二乘联合平差的模拟算例；通过给各类数据加入不同大小的随机噪声，分析了判别函数最小化法中随机噪声大小对确定相对权比的影响。模拟算例表明，平差结果的质量与相对权比的选取有关；当先验信息准确时，验前单位权方差法的结果最好，而当先验信息不准确时，判别函数为|V1i|+|V2j|及|V1i|+|V2j|/（1+XT）的判别函数最小化法均能取得有效的平差结果
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