Numerical Optimal Measurement Algorithmunder Distortions Caused by Inertia, Resonances,and Sensor Degradation
2021
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.
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