Abstract

The optimal measurement problem is the problem of minimizing the difference between virtual observation values obtained by using a computational model and experimental data. The study of this problem splits into three parts, namely, a mathematical model of optimal measurements, algorithms for the numerical analysis of this model, and software to implement these algorithms. Here we describe the first two parts. We also describe a mathematical optimal measurement model in the presence of various kinds of interferences and an approximation of the optimal measurement and prove that these approximations converge to the precise optimal measurement. A numerical algorithm for determining approximations of the optimal measurement is described.

中文翻译：

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惯性，共振和传感器退化引起的变形下的数值最优测量算法

摘要

最佳测量问题是使通过使用计算模型获得的虚拟观察值与实验数据之间的差异最小化的问题。对这个问题的研究分为三个部分，即最佳测量的数学模型，对该模型进行数值分析的算法以及实现这些算法的软件。在这里，我们描述了前两个部分。我们还描述了存在各种干扰时的数学最佳测量模型和最佳测量的近似值，并证明了这些近似值收敛于精确的最佳测量。描述了用于确定最佳测量的近似值的数值算法。