Innovative Methods of Parallelized Transmission and Processing of Measurement Information Based on Using Constructive Finite Field Theory
DOI:
https://doi.org/10.52575/2687-0932-2025-52-3-735-744Keywords:
measurement data uncertainty, distortions caused by interference, data processing, constructive finite field theory, residual class system, regularization of incorrect problemsAbstract
The article is devoted to the development of new methods for transmitting and processing measurement information, which requires that the following contradictions should be resolved. The volumes of transmitted and received measurement information are rapidly increasing, which is associated with the growing needs of science and technology. Meanwhile, the conditions in which measurements are carried out are considerably worsening, the errors of measuring devices and systems do not meet the requirements, and the intensity of interference background is increasing. At the same time, the possibilities of increasing the main indicators of measurement efficiency at the expense of hardware are limited, and the reserves of used methods are exhausted. In this situation, the main hope for increase of accuracy and reliability of measurements appears to be connected with processing of the received information. But, as it often happens, the existing methods and technologies of experimental data processing are also unable to correct the obtained results. Therefore, there is a need to develop unusual (non-traditional) mathematical methods of measurement data processing, which is the subject of this article.
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