测边网坐标平差的加性乘性混合型误差模型解算

Solution of the mixed multiplicative and additive random models for coordinate adjustment of traversing network

在大地测量数据处理领域,已有加性乘性混合型误差模型参数估计方法的有效性和适用性研究都是建立在模拟算例基础之上,尚无对加性乘性混合误差模型实际测量数据处理应用方面做出研究.文中首次将加性乘性混合型误差模型的参数估计方法应用到测边网平差中,推导基于该模型的平差公式.最后通过算例验证推导的公式在处理大地测量领域实际数据应用中的有效性和可行性.

In the field of geodetic data processing,the effectiveness and applicability of parameter estimation methods for the mixed multiplicative and additive random models have been studied based on simulated scenarios.However,there is currently no research on the practical application of the mixed multiplicative and additive random models.This paper presents,for the first time,the application of parameter estimation methods for the mixed multiplicative and additive random models in the adjustment of traversing network,and derives the adjustment formula based on this model.Finally,the effectiveness and feasibility of the derived formula in handling actual data in the field of geodetic measurements are validated through numerical examples.