MEASUREMENT UNCERTAINTY EVALUATION OF THE OBJECT PLANIMETRIC COORDINATES USING THE RHO-THETA METHOD

Determining the planimetric coordinates of an object is a topical task of coordinate metrology, which finds application in cartography, geodesy, location and navigation. The article considers the features of measurement uncertainty evaluation the coordinatesof an object on a plane using the rho-theta method. The measurement model is substantiated. Expressions for estimating the numerical values of coordinates and their combined standard uncertaintiesare obtained. Expressions for estimating expanded uncertainties using the kurtosis methodare found. The uncertainty budgets for measuring the planimetric Cartesian object coordinates are presented. Expressions for relative standard uncertainties in measuring coordinates are written and an example of their evaluation for real metrological characteristics of measuring instruments of a base station is considered.

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Publication Details

Journal
Metrology and instruments
Published
2024-12-13
DOI
https://doi.org/10.30837/2663-9564.2024.2.05
Primary Topic
Sensor Technology and Measurement Systems
Type
article
Field-Weighted Citation Impact
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article

MEASUREMENT UNCERTAINTY EVALUATION OF THE OBJECT PLANIMETRIC COORDINATES USING THE RHO-THETA METHOD

Олеся Боцюра, Iryna Zadorozhna, Ігор Захаров
Metrology and instruments
Sensor Technology and Measurement Systems
article

MEASUREMENT UNCERTAINTY EVALUATION OF THE OBJECT PLANIMETRIC COORDINATES USING THE RHO-THETA METHOD

Олеся Боцюра, Iryna Zadorozhna, Ігор Захаров
article en

Abstract

Determining the planimetric coordinates of an object is a topical task of coordinate metrology, which finds application in cartography, geodesy, location and navigation. The article considers the features of measurement uncertainty evaluation the coordinatesof an object on a plane using the rho-theta method. The measurement model is substantiated. Expressions for estimating the numerical values of coordinates and their combined standard uncertaintiesare obtained. Expressions for estimating expanded uncertainties using the kurtosis methodare found. The uncertainty budgets for measuring the planimetric Cartesian object coordinates are presented. Expressions for relative standard uncertainties in measuring coordinates are written and an example of their evaluation for real metrological characteristics of measuring instruments of a base station is considered.

Metrology and instruments(2)
Kharkiv National University of Radio Electronics (UA)
Openalex Percentile: Top 73%
Sensor Technology and Measurement Systems
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MEASUREMENT UNCERTAINTY EVALUATION OF THE OBJECT PLANIMETRIC COORDINATES USING THE RHO-THETA METHOD — Олеся Боцюра, Iryna Zadorozhna, et al. · Metrology and instruments (2024) | TGRS Research Map | TGRS