Development of substitutional computational methods for maximum-likelihood detection of the object’s near-zero apparent motion on the series of CCD-frames

Authors

DOI:

https://doi.org/10.15587/2312-8372.2016.75793

Keywords:

series of CCD-frames, OLS-evaluation, object's position measurements, asteroids

Abstract

The objects with near-zero apparent motion during observation are the subject of study. The main disadvantage of such objects is the fact that the object’s movement on a series of CCD-frames can be compared with errors of the position determining of the object.

We propose using the substitutional decision rules to detect object’s near-zero apparent motion. These rules are based on the maximum-likelihood criterion and use a joint density of the measurements distribution as maximum-likelihood function.

Substitutional computation methods for maximum-likelihood detection of the object’s near-zero apparent motion on the series of CCD-frames are developed. They are based on using of maximum-likelihood criterion in the decision rules of detection. Likelihood ratio is used as criterion for a sufficient statistic with minimum amount. This ratio is compared with the critical values selected in accordance with a predetermined criterion.

Using of the substitutional decision rules is justified by the absence of a priori information about likelihood function parameters such as parameters of the apparent motion of objects and dispersion of the positional measurements of series.

The article describes the cases with known, unknown variance of object's position measurements on the CCD-frames and using its external evaluation. Parameters of observed object's apparent motion should be previously estimated for using the synthesized decision rules. Also the corresponding interpolated coordinates on the investigated frames should be determined.

Author Biographies

Сергей Васильевич Хламов, Kharkiv National University of Radio Electronics, 14 Nauki ave., Kharkiv, Ukraine, 61166

Postgraduate Student

Department of Electronic Computer

Вадим Евгеньевич Саваневич, Uzhhorod National University, 3 Narodna sq., Uzhhorod, Ukraine, 88000

Doctor of Technical Sciences, Professor

Department of Informative and Operating Systems and Technologies

Александр Борисович Брюховецкий, Kharkiv General Customer Representative of the State Space Agency of Ukraine, 1 Academica Proskury str., Kharkiv, Ukraine, 61070

Candidate of Technical Sciences, Engineer

Сергей Сергеевич Орышич, Uzhhorod National University, 3 Narodna sq., Uzhhorod, Ukraine, 88000

Department of Software Systems

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Published

2016-07-26

How to Cite

Хламов, С. В., Саваневич, В. Е., Брюховецкий, А. Б., & Орышич, С. С. (2016). Development of substitutional computational methods for maximum-likelihood detection of the object’s near-zero apparent motion on the series of CCD-frames. Technology Audit and Production Reserves, 4(3(30), 19–26. https://doi.org/10.15587/2312-8372.2016.75793

Issue

Vol. 4 No. 3(30) (2016): Technology Transfer in the Transport Industry. Information and Control Systems. Systems and Control Processes

Section

Information and control systems

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Copyright (c) 2016 Сергей Васильевич Хламов, Вадим Евгеньевич Саваневич, Александр Борисович Брюховецкий, Сергей Сергеевич Орышич

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