TECHNICAL PAPERS
Oct 15, 2003

Least-Squares Formula for Zero Error (Z0) of Electromagnetic Distance Measuring Instruments

Publication: Journal of Surveying Engineering
Volume 129, Issue 4

Abstract

The zero error of electromagnetic distance measuring instruments is a near-constant systematic error, which has the same effect on the measured distances. This paper presents a least-squares formula for this correction based on the division of a baseline into m subbaselines, and measuring all possible distances between the marked points. The validity of the formulation is verified by two examples.

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References

Burnside, C. D. (1991). Electromagnetic distance measurements, 3rd Ed., Oxford, BSP Professional Books, Great Britain.
Dracup, J. F., Fronczek, C. J., and Tomlinson, R. W. (1977). “Establishment of Calibration Baselines.” National Oceanic and Atmospheric Administration (NOAA) Technical Memorandum No. NOS NGS-8, U.S. Department Of Commerce, National Oceanic and Atmospheric Administration, Rockville, MD.
Fronczek, J. F. (1978). “Use of Calibration Baselines.” NOAA Technical Memorandum No. NOS NGS-10, U.S. Department Of Commerce, National Oceanic and Atmospheric Administration, Rockville, MD.
Rüeger, J. M. (1980). Introduction to electronic distance measurement, 2nd Ed., School of Surveying, The Univ. of New South Wales, Australia.
Wells, D. E., and Krakiwsky, E. J. (1971). The method of least squares, Dept. of Surveying Engineering, Univ. of New Brunswick, Fredericton, N.B., Canada.

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Information

Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 129Issue 4November 2003
Pages: 136 - 140

History

Received: Nov 6, 2001
Accepted: Sep 3, 2002
Published online: Oct 15, 2003
Published in print: Nov 2003

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Authors

Affiliations

AliReza Amiri-Simkooei
PhD Student, Dept. of Mathematical Geodesy and Positioning (MGP), Faculty of Aerospace Engineering, TU Delft, Kluyverweg 1, P.O. Box 5058, 2600 GB Delft, The Netherlands. E-mail: a.r.amiri-simkooei@geo. tudelft.nl; and Lecturer, Dept. of Surveying Engineering, Faculty of Engineering, Univ. of Isfahan, 81746-73441, Isfahan, Iran.

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