On observation while solving the problem of optimal dynamic measurements

The article presents the rationale of a new algorithm for solving the problem of optimal dynamic measurements. The authors named the algorithm the spline method with simple averaging. The algorithm is based on the application of the Kotelnikov theorem. The discussed algorithm is one of the numerical methods used in the theory of optimal dynamic measurements, which allow to find the input signal from a known output signal (or observation) and a known transfer function of the measuring device. In all formulations of the problem, it is assumed that the inertia of the measuring device is taken into account, and the differences are due to the inclusion of interferences of various natures in the mathematical model. Consideration of interference as «white noise» led to the development of analytical and numerical methods for solving the problem under discussion. In recent years, one of the areas of numerical research is the work with the observed signal. The article provides brief necessary theoretical information, an overview of numerical methods for using digital filters to process observation results with subsequent application of the spline method, and uses the results of an experiment to show the advantages of the spline method with simple averaging in the work with observation.