Study on the Equivalence Between Nonlinear Least Squares Method and Correlation Method in Period Extraction of Torsion Pendulum

DOI

10.2991/itoec-16.2016.20How to use a DOI?

Keywords

period extraction; nonlinear least squares fitting method; correlation method; Gaussian white noise; accuracy

Abstract

In the measurement of G using time-of-swing method, the accurate determination of G depends on the period extraction of torsion balance with high precision. There are a great many methods of extracting period, and the nonlinear least squares fitting method and the correlation method are most frequently applied to extract the torsion balance period accurately. Though some papers have claimed the two methods are equivalent, lacking in complete theoretical derivation. In this paper, the influence of Gaussian white noise on the period extraction accuracy by the two methods is theoretically derived detailedly and simulated in MATLAB. Both results show that although there exists some differences between two methods in process of data analysis, the accuracy of period extraction is still the same.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Wenze Zhan
AU  - Weihuang Wu
PY  - 2016/05
DA  - 2016/05
TI  - Study on the Equivalence Between Nonlinear Least Squares Method and Correlation Method in Period Extraction of Torsion Pendulum
BT  - Proceedings of the 2nd Information Technology and Mechatronics Engineering Conference (ITOEC 2016)
PB  - Atlantis Press
SP  - 98
EP  - 103
SN  - 2352-5401
UR  - https://doi.org/10.2991/itoec-16.2016.20
DO  - 10.2991/itoec-16.2016.20
ID  - Zhan2016/05
ER  -