We describe an approach for processing measurement information obtained using high-precision measurement methods for random variation of the data in the range of several discrete units. We present formulas for estimating the quantity to be measured. We consider an example of the use of the indicated approach.
Similar content being viewed by others
References
S. N. Grigor’ev, V. I. Teleshevskii, A. G. Andreev, et al., “Problem of the construction of precision machine tools for preparation of parts with nanometer accuracy,” Vest. MGTU Stankin, No. 3 (34), 9–14 (2015).
S. N. Grigor’ev, A. A. Kutin, and V. A. Dolgov, “Principles of construction of numerical products in machine construction,” Vest. MGTU Stankin, No. 4 (31), 10–15 (2014).
V. I. Teleshevskii and V. A. Sokolov, “Analysis of three-dimensional geometric errors in multicoordinate measuring and technological systems on the basis of laser measurements,” Izmer. Tekhn., No. 12, 19–23 (2013).
V. A. Sokolov and K. K. Basalaev, “Method of automated correction of three-dimensional errors of multicoordinate systems on the basis of laser interference measurements,” Development of Science and Education in the Modern World: Proc. Int. Sci.-Pract. Conf. (2015), pp. 83–85.
V. I. Teleshevskii and V. A. Sokolov, “Laser measuring information system for increasing the accuracy of multicoordinate machine tools with NPC,” Vest. MGTU Stankin, No. 4 (34), 8–10 (2011).
S. G. Grishin, Heterodyne Laser Interference System for Measurement of Linear Displacements with an Anisotropic Acousto-Optical Light-Frequency Converter: Auth. Abstr. Disert. Cand. Techn. Sci., MGTU Stanlin, Moscow (2012).
G. Michalecki, “Automatic calibration of gage blocks measured by optical interferometry,” Meas. Sci. Rev., 1, No. 1, 93–96 (2001).
A. V. Loparev , A. V. Pravdivtsev, P. S. Ignat’ev, et al., “Metrological platform with a modulation-interference microscope,” Opt. Zh., 79, No. 6, 79–85 (2012).
S. N. Grigor’ev, A. G. Andreev, P. S. Ignat’ev, et al., “Metrological certification of laser microscopes based on the principles of modulation interferometry with control phase shift,” Vest. MGTU Stankin, No. 3 (34), 67–75 (2015).
S. G. Grishin, “Estimate of the phase error in heterodyne laser interference measurement systems,” Izmer. Tekhn., No. 8, 11–13 (2011).
GOST R 8.736–2011, GSI. State System for Guaranteeing Units of Measurement. Direct Repeated Measurements. Methods for Processing Measurement Results. Fundamental Regulations.
D. A. Masterenko, “Selection of the best estimate of a measured quantity based on strongly discretized observations,” Izmer. Tekhn., No. 7, 17–20 (2011).
D. A. Masterenko, “Investigation of estimates of parameters of a linear statistical model based on strongly discretized observations,” Vest. MGTU Stankin, No. 3 (22), 89–93 (2012).
D. A. Masterenko, Increase in the Accuracy of Information-Measurement Systems of Automated Production Based on Methods of Statistical Processing of Strongly Discretized Observations: Auth. Abstr. Disert. Doct. Techn. Sci., MGTU Stankin, Moscow (2015).
GOST R ISO 5725-1–2002, Accuracy (correctness and precision) of Measurement Methods and Results. Part 1. Fundamental Regulations and Definitions.
GOST R ISO 5725-2–2002, Accuracy (correctness and precision) of Measurement Methods and Results. Part 2. Fundamental Method for the Determination of the Repetition and Reproducibility of a Standard Measurement Method.
GOST R ISO 5725-3–2002, Accuracy (correctness and precision) of Measurement Methods and Results. Part 3. Secondary Indicators of Precision of a Standard Measurement Method.
GOST R ISO 5725-4–2002, Accuracy (correctness and precision) of Measurement Methods and Results. Part 4. Fundamental Methods for the Determination of the Correctness of a Standard Measurement Method.
GOST R ISO 5725-5–2002, Accuracy (correctness and precision) of Measurement Methods and Results. Part 5. Alternative Methods for the Determination of the Precision of a Standard Measurement Method.
GOST R ISO 5725-6–2002, Accuracy (correctness and precision) of Measurement Methods and Results. Part 6. Use of Exact Values in Practice.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 12, pp. 11–14, December, 2016.
Rights and permissions
About this article
Cite this article
Masterenko, D.A., Teleshevskii, V.I. Features of Numerical Processing of Measurement Information for High-Precision Linear and Angular Measurements. Meas Tech 59, 1254–1259 (2017). https://doi.org/10.1007/s11018-017-1125-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-017-1125-3