Geomagnetic Interpolation Method Incorporating Bidirectional Variability

No AccessEngineering NotesGeomagnetic Interpolation Method Incorporating Bidirectional VariabilityCaijuan Ji, Chengying Song, Sheng Li and Qingwei ChenCaijuan Ji https://orcid.org/0000-0002-5907-7737Nanjing University of Science and Technology, Nanjing, Jiangsu Province, TX 210094, People's Republic of China, Chengying SongNanjing University of Science and Technology, Nanjing, Jiangsu Province, TX 210094, People's Republic of China, Sheng LiNanjing University of Science and Technology, Nanjing, Jiangsu Province, TX 210094, People's Republic of China and Qingwei ChenNanjing University of Science and Technology, Nanjing, Jiangsu Province, TX 210094, People's Republic of ChinaPublished Online:4 Mar 2024https://doi.org/10.2514/1.G007921SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Goldenberg F., "Geomagnetic Navigation Beyond the Magnetic Compass," 2006 IEEE/ION Position, Location, and Navigation Symposium, 2006, pp. 684–694.https://doi.org/10.1109/PLANS.2006.1650662 Google Scholar[2] Jun Z., Qiong W. and Cheng C., "Geomagnetic Gradient Bionic Navigation Based on the Parallel Approaching Method," Proceedings of the Institution of Mechanical Engineers, Vol. 233, No. 9, 2019, pp. 3131–3140.https://doi.org/10.1177/0954410018793290 Google Scholar[3] Jie Y. H., Shuang R. F. and Yong W., "Application of Grey Correlation Method in Geomagnetic Matching Navigation," Journal of Navigation Positioning, Vol. 9, No. 3, 2021, pp. 65–72.https://doi.org/10.3969/j.issn.2095-4999.2021.03.011 Google Scholar[4] Canciani A., "Absolute Positioning Using the Earth's Magnetic Anomaly Field," Ph.D. Dissertation, Air Univ., Islamabad, Pakistan, 2016. Google Scholar[5] Claussen N. R., Le L. D., Ashton R., Cespedes K. A., Patel A., Williams L. L., Miller B. O. and Searcy J., "Magnetic Navigation for GPS-Denied Airborne Applications," Sandia National Lab. (SNL-NM), Albuquerque, NM, 2020. https://doi.org/10.2172/1817974 Google Scholar[6] Jin S. Z., Yu K. Q. and Zhe W., "Application Research of Several Interpolation Methods in the Construction of Geomagnetic Matching Navigation Reference Map," National Security Geophysics Symposium Proceedings, 2009, pp. 71–76, https://d.wanfangdata.com.cn/conference/7826296. Google Scholar[7] Xiao Y. M., Jin S. Z., Ting L., Liang L. H. and Hui D., "Super-Resolution Geomagnetic Reference Map Reconstruction Based on Dictionary Learning and Sparse Representation," IEEE Access, Vol. 8, April 2020, pp. 84,316–84,325.https://doi.org/10.1109/Access.6287639 Google Scholar[8] Xiao M. Z., Theory and Practice of Geomagnetic Navigation, National Defense Industry Press, Beijing, China, 2016, p. 12. Google Scholar[9] Liu T., Li X., Fu M. and Liang Z., "Regional Geomagnetic Map Construction Based on Support Vector Machine Residual Kriging," 39th Chinese Control Conference (CCC), 2020, pp. 3500–3504.https://doi.org/10.23919/CCC50068.2020.9188420 Google Scholar[10] Wiltschko R. and Wiltschko W., "The Discovery of the Use of Magnetic Navigational Information," Journal of Comparative Physiology A, Vol. 208, No. 1, 2021, pp. 9–18.https://doi.org/10.1007/s00359-021-01507-0 Google Scholar[11] Qiu A. Z., Wan C. Z. and Jun H. Y., "Research On Spatial Interpolation Method Based on GIS," Journal of Jiangxi Normal University (Natural Science Edition), Vol. 28, No. 2, 2004, pp. 6–711.https://doi.org/10.1109/ICIST.2011.5765344 Google Scholar[12] Zhao H. L., Huang B. Q. and Jia B., "Applying Kriging Interpolation for WiFi Fingerprinting Based Indoor Positioning Systems," 2016 IEEE Wireless Communications and Networking Conference, 2016, pp. 1–6. https://doi.org/10.1109/WCNC.2016.7565018 Google Scholar[13] Jan S., Yeh S. and Liu Y., "Received Signal Strength Database Interpolation by Kriging for a WiFi Indoor Positioning System," Sensors, Vol. 15, No. 9, 2015, pp. 21,377–21,393.https://doi.org/10.3390/s150921377 Google Scholar[14] Fan F., Si L., Pei H. F., Wei H. and Hao Z., "A Technology of Displaying Kriging Interpolation Based on Contour Rendering Method," Chinese Agricultural Science Bulletin, Vol. 35, No. 35, 2019, pp. 129–133.https://doi.org/10.11924/j.issn.1000-6850.casb18090136 Google Scholar[15] Cai R. S., Xing Y. Y., Hong Q. L., Ming F. Z. and Li G., "An Integrated Genetic-Neural-Kriging Interpolation Method for Reservoir Property and Its Application," Journal of China University of Petroleum (Natural Science Edition), Vol. 31, No. 5, 2007, p. 6.https://doi.org/10.3321/j.issn: Google Scholar[16] Qiang Z., Shao H. X. and Wen T. Y., "Application of Particle Swarm Optimization in Kriging 3D Geological Modeling," Journal of Daqing Petroleum Institute, Vol. 35, No. 1, 2011, pp. 85–89.https://doi.org/10.3969/j.issn.2095-4107.2011.01.018 Google Scholar[17] Yu J., Shi W. D. and Xing M. Y., "Kriging Interpolation Algorithm Based on Constrained Particle Swarm Optimization," Journal of Chengdu University of Technology (Natural Science Edition), Vol. 42, No. 1, 2015, p. 6.https://doi.org/10.3969/j.issn.1671-9727.2015.01.13 Google Scholar[18] Chen L. L., Shi C. W., Jin S. Z. and Ting L., "Construction of Geomagnetic Datum Map Based on Improved Kriging Interpolation Method," Computer Simulation, Vol. 35, No. 12, 2018, p. 5.https://doi.org/10.3969/j.issn.1006-9348.2018.12.062 Google Scholar[19] Chao O., "Research On Inertial/Geomagnetic Integrated Navigation Method," Ph.D. Dissertation, Harbin Inst. of Technology, Harbin, China, 2020. Google Scholar[20] Tao C., Dan P. and Gilfedder M., "Gaussian Process Machine Learning and Kriging for Groundwater Salinity Interpolation," Environmental Modelling and Software, Vol. 144, No. 6, 2021, Paper 105170.https://doi.org/10.1016/j.envsoft.2021.105170 Google Scholar[21] Xin G., "Research on Modeling and Estimation of Anisotropic Structure of Two-Dimensional Semivariogram Based on Linear GSI," Geographical Research, Vol. 39, No. 11, 2020, p. 19.https://doi.org/10.11821/dlyj020190794 Google Scholar[22] Liang S. S. and Rui D. H., "Flower Pollination Algorithm Based on Longhorn Beetle Search," Computer Engineering and Applications, Vol. 54, No. 18, 2018, pp. 118–194. https://doi.org/10.3778/j.issn.1002-8331.1805-0152 Google Scholar[23] Ying L., Zhi H. Q. and Di J., "A Universal Positioning Method Based on the Optimization of Beetles in Indoor Environment," Journal of Electronics & Information Technology, Vol. 41, No. 7, 2019, pp. 1565–1571. Google Scholar[24] Rui S., "A Modified Adaptive Particle Swarm Optimization Algorithm," International Conference on Computational Intelligence and Security, Inst. of Electrical and Electronics Engineers, New York, 2016, pp. 511–513.https://doi.org/10.1109/CIS.2016.0124 Google Scholar[25] Xu D. M. and Lian X. W., "Improved Particle Swarm Optimization Parameters for Wavelet Support Vector Machine Early Warning Model," Journal of University of Shanghai for Science and Technology, Vol. 40, No. 3, 2018, pp. 211–216. Google Scholar[26] Ai L. L. and Pei F. W., Introduction to Geostatistics, Science Press, Beijing, China, 2012, p. 68. Google Scholar[27] Nan Z. Y., Basic Theory and Method Application of Geostatistics (Spatial Information Statistics), Geological Press, Beijing, China, 2012, p. 38. Google Scholar Next article FiguresReferencesRelatedDetails What's Popular Articles in Advance Metrics CrossmarkInformationCopyright © 2024 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 1533-3884 to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAlgorithms and Data StructuresAntennasApplied MathematicsCommunication SystemCommunication Technology and EquipmentComputing, Information, and CommunicationData ScienceEarth SciencesEvolutionary AlgorithmGeneral PhysicsGeophysicsGuidance, Navigation, and Control SystemsOptimization AlgorithmSearch AlgorithmSpace Science and TechnologyStatistical Analysis KeywordsParticle Swarm OptimizationAntennasSpace Science and TechnologyOptimization AlgorithmStatistical AnalysisGeomagnetic FieldGlobal Positioning SystemAircraft Navigation SystemsInterpolation SearchAcknowledgmentsThis work is supported in part by National Natural Science Foundation of China (grant number 62203222), Fundamental Research Funds for the Central Universities (grant number 30922010407), and National Defense Basic Scientific Research Program of China (grant number JCKY2021606B002).Digital Received29 August 2023Accepted24 January 2024Published online4 March 2024