Evidence map›Paper›PMID 30274309›Full record

ArticleSensors (Basel, Switzerland)2018

An Optimized Two-Step Magnetic Correction Strategy by Means of a Lagrange Multiplier Estimator with an Ellipsoid Constraint.

Linlin Xia, Jingtong Geng, Hanrui Yang, Yunqi Wang, Zhaolong Fu, Bo Meng

Abstract read
In one paragraph

Article in Sensors (Basel, Switzerland), 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

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3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

6 authors.

Linlin XiaSchool of Automation Engineering, Northeast Electric Power University, Jilin 132012, China. xiall521@neepu.edu.cn.
Jingtong GengSchool of Automation Engineering, Northeast Electric Power University, Jilin 132012, China. jingtong0611@163.com.
Hanrui YangSchool of Automation Engineering, Northeast Electric Power University, Jilin 132012, China. yanghanrui1208@163.com.
Yunqi WangSchool of Electrical and Information Engineering, The University of Sydney, Camperdown, NSW 2006, Australia. 4490980@gmail.com.
Zhaolong FuDepartment of Engineering Management, Shenzhen Yuhu Power Co., Ltd., Shenzhen 518111, China. fuzhaolong_0406@126.com.
Bo MengSchool of Computer Science, Northeast Electric Power University, Jilin 132012, China. mengbo_nannan@163.com.

Funding

National Natural Science Foundation of China 61503073 and 61703090Natural Research Fund of Science and Technology Department, Jilin Province 20170101125JCResearch Fund for Distinguished Young Scholars of Jilin City 20166005Science and Technology Research Fund of Education Department, Jilin Province JJKH20170103KJ
6 · The paper itself

Abstract

The geomagnetic field is as fundamental a constituent of passive navigation as Earth's gravity. In cases where no other external attitude reference is available, for the direct heading angle estimation by a typical magnetic compass, a two-step optimized correction algorithm is proposed to correct the model coefficients caused by hard and soft iron nearby. Specifically, in Step 1, a Levenberg-Marquardt (L-M) fitting estimator with an ellipsoid constraint is applied to solve the hard magnetic coefficients. In Step 2, a Lagrange multiplier estimator is used to deal with the soft magnetic iron circumstance. The essential attribute of "the two-step" lies in its eliminating the coupling effects of hard and soft magnetic fields, and their mutual interferences on the pure geomagnetic field. Under the conditions of non-deterministic magnetic interference sources with noise, the numerical simulation by referring to International Geomagnetic Reference Field (IGRF), and the laboratory tests based upon the turntable experiments with Honeywell HMR3000 compass (Honeywell, Morristown, NJ, USA) conducted, the experimental results indicate that, in the presence of the variation of multi-magnetic interferences, the RMSE (Root Mean Square Error) value of the estimated total magnetic flux density by the proposed two-step estimator falls to 0.125 μT from its initial 2.503 μT, and the mean values of the heading angle error estimates are less than 1°. The proposed solution therefore, exhibits ideal convergent properties, fairly meeting the accuracy requirements of non-tactical level navigation applications.

Indexed as

ellipsoid constraintLagrange multiplier estimatorL-M fittingnon-deterministic magnetic interferencestwo-step optimized correction

Identifiers

PMID30274309
PMCPMC6210750

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.