Combining excessive data for spatial environmental monitoring

Authors

  • Юрій Владленович Кулявець Kharkiv National University of Construction and Architecture Ukraine, Kharkiv, 40 Sumskay vul., Ukraine
  • Олег Ігоревич Богатов Kharkiv National Automobile and Highway University Ukraine, Kharkiv, 25 Petrovskogo vul., Ukraine
  • Олена Анатоліївна Єрмакова Kharkiv National Automobile and Highway University Ukraine, Kharkiv, 25 Petrovskogo vul., Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.18933

Keywords:

combination of information, measurement of parameters, independent measuring instruments, filtering of estimates

Abstract

Availability of information redundancy allows obtaining a total estimate by various relatively simple measuring instruments using a minimal sufficient set of primary measurements. The analysis of the known methods for solving this problem shows that the highest emphasis is placed on identifying the influence of measurement redundancy on the accuracy of estimates, and the problem of finding optimal algorithms of combining the estimates, in general correlated, is not considered. The algorithm of indirect estimation of the state vector based on the estimates of the observation vector is well studied. Along with this, the estimated parameters are, as a rule, associated with the nonlinear functional relations measured to initial estimates. Therefore, the direct use of the maximum likelihood method leads to the necessity of solving systems of nonlinear equations. It is possible to use two different approaches: linearization of nonlinear functional relations and iterative method (method of successive approximations). Herewith, the main advantage of the linearization method is that it allows obtaining the optimal (in this case the maximum likelihood) estimates of total parameter and correlation matrix of estimation errors in an explicit form. On this account, it is shown that the solution of the problem of the optimal use of estimates of the same state vector, obtained by various methods at the same time, is reduced to the consecutive application of the algorithm of estimates filtering. Thus, the optimal rule of finding of the total estimate and its accuracy is obtained. This rule, characterizing the measurement of the current parameter, is structurally similar to formulas for obtaining estimates with an account of the pre-experimental data, but significantly differs by the methodology of their obtaining.

Author Biographies

Юрій Владленович Кулявець, Kharkiv National University of Construction and Architecture Ukraine, Kharkiv, 40 Sumskay vul.

PhD, Senior Lecturer

Department of Life Safety & Environmental Engineering

Олег Ігоревич Богатов, Kharkiv National Automobile and Highway University Ukraine, Kharkiv, 25 Petrovskogo vul.

PhD, Senior Lecturer

Department of Metrology and Life Safety

Олена Анатоліївна Єрмакова, Kharkiv National Automobile and Highway University Ukraine, Kharkiv, 25 Petrovskogo vul.

PhD, Senior Lecturer

Department of Engineering and Computer Graphics

References

  1. Ширман, Я. Д. Теория и техника обработки радиолокационной информации на фоне помех [Текст] / Я. Д. Ширман, В. Н. Манжос. – М.: Радио и связь, 1981. – 416 с.
  2. Быстров, В. А. Влияние избыточных измерений на оценку параметров [Текст]/ В. А. Быстров, Р. Н. Давыдов, Е. П. Лебедев, А. Г. Мальцев. – М.: РТИ им. академика А. Л. Минца АН СССР, 1988. – 20 с.
  3. Сейдж, Э. Теория оценивания и ее применение в связи и управлении [Текст] : пер. с англ. / Э. Сейдж, Дж. Милс; под ред. Б.Р.Левина. – М.: Связь, 1978. – 496 с.
  4. Караваев, В. В. Статистическая теория пассивной локации [Текст]/ В. В. Караваев, В. В. Сазонов. – М.: Радио и связь, 1987. – 240 с.
  5. Тихонов, В. И. Статистическая радиотехника [Текст] / В. И. Тихонов. – М.: Радио и связь, 1982.
  6. Мирский, Г. Я. Аппаратурное определение характеристик случайных процессов [Текст] / Г. Я. Мирский. – М.: Энергия, 1972. – 456 с.
  7. Космические траекторные измерения. Радиотехнические методы измерений и математическая обработка данных [Текст] / под ред. П. А. Агаджанова, В. Е. Дулевича, А. А. Коростелева. – М.: Сов.радио, 1969. – 504 с.
  8. Рао, С. Р. Линейные статистические методы и их применение [Текст]: пер. с англ. / С. Р. Рао; под. ред. Ю.В.Линника. – М.: Наука,1968. – 574 с.
  9. Кендал, М. Теория распределений [Текст] / М. Кендал, А. Стюарт. – М.: Наука, 1966. – 735 с.
  10. Мирский, Г. Я. Характеристики стохастической взаимосвязи и их измерения [Текст] / Г. Я. Мирский. – М.: Энергоиздат, 1982. – 320с.
  11. Тихонов, В. И. Статистический анализ и синтез радиотехнических устройств и систем [Текст] / В. И. Тихонов, В. Н. Харисов. – М.: Радио и связь, 1991. – 608 с.
  12. Shearman, J. D., Manzhos, V. N. (1981). Theory and techniques of processing radar information on the background noise [Teorija i tehnika obrabotki radiolokacionnoj informacii na fone pomeh], 416.
  13. Bystrov, V., Davydov, R., Lebedev, Ye., Maltsev, A. (1988). The influence of redundant measurements on evaluation of parameters [Vlijanie izbytochnyh izmerenij na ocenku parametrov], 20.
  14. Sage, E., Mills, J., Levina, ED. B.R. (1978). Estimation theory and its application in communication and management [Teorija ocenivanija i ee primenenie v svjazi i upravlenii], 496.
  15. Karavaev, V.V., Sazonov, V.V. (1987). Statistical theory of passive location [Statisticheskaja teorija passivnoj lokacii], 240.
  16. Tikhonov, V.I. (1982). Statistical radio engineering [Statisticheskaja radiotehnika].
  17. Mirsky, G.Ya. (1972). Apparatus determination of random processes properties [Apparaturnoe opredelenie harakteristik sluchajnyh processov], 456.
  18. Aghajanova, P.A., Dulevich, V.E., Korostelyova, A.A. (1969). Space trajectory measurements. Radio engineering methods of measurement and mathematical data processing [Radiotehnicheskie metody izmerenij i matematicheskaja obrabotka dannyh], 504.
  19. Rao, S.R. (1968). Linear statistical methods and their application [Linejnye statisticheskie metody i ih primenenie], 574.
  20. Kendal, M., Stuart, A. (1966). The theory of distributions [Teorija raspredelenij], 735.
  21. Mirsky, G.Ya. (1982). Features of stochastic relationship and their measurements [Harakteristiki stohasticheskoj vzaimosvjazi i ih izmerenija], 320.
  22. Tikhonov, V.I., Kharisov, V.N. (1991). Statistical analysis and synthesis of radio engineering devices and systems [Statisticheskij analiz i sintez radiotehnicheskih ustrojstv i sistem], 608.

Downloads

Published

2013-12-12

How to Cite

Кулявець, Ю. В., Богатов, О. І., & Єрмакова, О. А. (2013). Combining excessive data for spatial environmental monitoring. Eastern-European Journal of Enterprise Technologies, 6(9(66), 36–39. https://doi.org/10.15587/1729-4061.2013.18933

Issue

Vol. 6 No. 9(66) (2013): Information and control systems

Section

Information and controlling system

License

Copyright (c) 2014 Юрій Владленович Кулявець, Олег Ігоревич Богатов, Олена Анатоліївна Єрмакова

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.