PRELIMINARY DEPENDENCIES PROCESSING BY THE PROJECTION ON THE SET OF CORRECT MEASUREMENT DATA

A.G. Chumakov

Èlektron. model. 2017, 39(6):47-58
https://doi.org/10.15407/emodel.39.06.047

ABSTRACT

The article deals with the procedure of preliminary processing of measurement data, which is an addition to the standard linear methods of regularization. It is a projection on a set of dependencies with bounded values of the derivatives. Analytical accounting of a priori physical information about the processed dependency is used to suppress random errors, including blunders. In the course of adaptive smoothing, an estimate of the random error is minimized when the value of systematic error is restricted. The operation of the algorithm is illustrated by a typical problem of structural analysis. The algorithm combines the high efficiency of machine implementation, the availability of control parameters with minimal, and controlled, distortions of the smoothed dependency.

KEYWORDS

dependencies smoothing, correct measurement data.

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