{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:58:27Z","timestamp":1760144307837,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2024,4,10]],"date-time":"2024-04-10T00:00:00Z","timestamp":1712707200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62176214","61973253"],"award-info":[{"award-number":["62176214","61973253"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The various applications of bearing-only sensor networks for detection and localization are becoming increasingly widespread and important. The array layout of the bearing-only sensor network seriously impacts the detection performance. This paper proposes a multi-strategy fusion improved adaptive mayfly algorithm (MIAMA) in a bearing-only sensor network to perform layout planning on the geometric configuration of the optimal detection. Firstly, the system model of a bearing-only sensor network was constructed, and the observability of the system was analyzed based on the Cramer\u2013Rao Lower Bound and Fisher Information Matrix. Then, in view of the limitations of the traditional mayfly algorithm, which has a single initial population and no adaptability and poor global search capabilities, multi-strategy fusion improvements were carried out by introducing Tent chaos mapping, the adaptive inertia weight factor, and Random Opposition-based Learning. Finally, three simulation experiments were conducted. Through comparison with the Particle Swarm Optimization (PSO) algorithm, Mayfly Algorithm (MA), and Genetic Algorithm (GA), the effectiveness and superiority of the proposed MIAMA were validated.<\/jats:p>","DOI":"10.3390\/s24082415","type":"journal-article","created":{"date-parts":[[2024,4,10]],"date-time":"2024-04-10T06:07:46Z","timestamp":1712729266000},"page":"2415","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Layout of Detection Array Based on Multi-Strategy Fusion Improved Adaptive Mayfly Algorithm in Bearing-Only Sensor Network"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1505-5541","authenticated-orcid":false,"given":"Zhan","family":"Chen","sequence":"first","affiliation":[{"name":"Unmanned System Research Institute, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Yangwang","family":"Fang","sequence":"additional","affiliation":[{"name":"Unmanned System Research Institute, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Ruitao","family":"Zhang","sequence":"additional","affiliation":[{"name":"Unmanned System Research Institute, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Wenxing","family":"Fu","sequence":"additional","affiliation":[{"name":"Unmanned System Research Institute, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1109\/JSEN.2018.2872867","article-title":"Passive radar delay and angle of arrival measurements of multiple acoustic delay lines used as passive sensors","volume":"19","author":"Feng","year":"2018","journal-title":"IEEE Sens. J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2316","DOI":"10.1109\/TSP.2020.2985645","article-title":"Optimal sensor placement for 2-D range-only target localization in constrained sensor geometry","volume":"68","author":"Sadeghi","year":"2020","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"803","DOI":"10.3390\/s150100803","article-title":"Weighted Geometric Dilution of Precision Calculations with Matrix Multiplication","volume":"15","author":"Chen","year":"2015","journal-title":"Sensors"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/j.automatica.2019.04.008","article-title":"Optimal deployment of vehicles with circular formation for bearings-only multi-target localization","volume":"105","author":"Li","year":"2019","journal-title":"Automatica"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1001","DOI":"10.1109\/JSTSP.2019.2925786","article-title":"Polarization channel estimation for circular and non-circular signals in massive MIMO systems","volume":"13","author":"Wang","year":"2019","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"6088","DOI":"10.1109\/TVT.2022.3161460","article-title":"Vehicle sideslip angle estimation based on interacting multiple model Kalman Filter using low-cost sensor fusion","volume":"71","author":"Park","year":"2022","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_7","first-page":"1001","article-title":"A Cramer\u2013Rao lower bound of CSI-based indoor localization","volume":"67","author":"Gui","year":"2017","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_8","first-page":"1","article-title":"Cramer\u2013Rao Lower Bound Attainment in Range-Only Positioning Using Geometry: The G-WLS","volume":"70","author":"Fontanelli","year":"2021","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"103222","DOI":"10.1016\/j.dsp.2021.103222","article-title":"Cramer-Rao lower bounds of target positioning estimate in netted radar system","volume":"118","author":"Guo","year":"2021","journal-title":"Digit. Signal Process."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"023001","DOI":"10.1088\/1751-8121\/ab5d4d","article-title":"Quantum Fisher information matrix and multiparameter estimation","volume":"53","author":"Liu","year":"2020","journal-title":"J. Phys. Math. Theor."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"107362","DOI":"10.1016\/j.csda.2021.107362","article-title":"Parameter estimation and computation of the Fisher information matrix for functions of phase type random variables","volume":"167","author":"Pavithra","year":"2022","journal-title":"Comput. Stat. Data Anal."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"107601","DOI":"10.1016\/j.compeleceng.2021.107601","article-title":"Factor graph and fisher information matrix-assisted indoor cooperative positioning algorithm for wireless sensor networks","volume":"96","author":"Abdulkadhim","year":"2021","journal-title":"Comput. Electr. Eng."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"862","DOI":"10.1109\/TSP.2022.3148540","article-title":"Exponential Mixture Density Based Approximation to Posterior Cram\u00e9r-Rao Lower Bound for Distributed Target Tracking","volume":"70","author":"Yuan","year":"2022","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1049\/sil2.12025","article-title":"Recursive joint Cram\u00e9r-Rao lower bound for parametric systems with two-adjacent-states dependent measurements","volume":"15","author":"Li","year":"2021","journal-title":"IET Signal Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3096","DOI":"10.1109\/TAES.2021.3069269","article-title":"Optimal Geometry Analysis for TDOA-Based Localization Under Communication Constraints","volume":"57","author":"Sadeghi","year":"2021","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1109\/TRO.2019.2896436","article-title":"Trajectory Optimization for Target Localization With Bearing-Only Measurement","volume":"35","author":"He","year":"2019","journal-title":"IEEE Trans. Robot."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"2250015","DOI":"10.1142\/S2737480722500157","article-title":"Trajectory optimization for target localization and sensor bias calibration with bearing-only information","volume":"2","author":"Yang","year":"2022","journal-title":"Guid. Navig. Control."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Rafiezadeh Shahi, K., Ghamisi, P., Rasti, B., Jackisch, R., Scheunders, P., and Gloaguen, R. (2020). Data fusion using a multi-sensor sparse-based clustering algorithm. Remote Sens., 12.","DOI":"10.3390\/rs12234007"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1654","DOI":"10.1109\/TCNS.2020.2993253","article-title":"Distributed Formation Control of Mobile Agents via Global Orientation Estimation","volume":"7","author":"Ahn","year":"2020","journal-title":"IEEE Trans. Control. Netw. Syst."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Shalev, H., and Klein, I. (2021). Deep Learning-Based Bearings-Only Tracking Using Multiple Passive Sensors. Sensors, 21.","DOI":"10.3390\/s21134457"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.pmcj.2016.09.013","article-title":"Distributed algorithm for target localization in wireless sensor networks using RSS and AoA measurements","volume":"37","author":"Tomic","year":"2017","journal-title":"Pervasive Mob. Comput."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1109\/TCYB.2015.2409373","article-title":"Weighted Average Consensus-Based Unscented Kalman Filtering","volume":"46","author":"Li","year":"2016","journal-title":"IEEE Trans. Cybern."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.inffus.2019.06.026","article-title":"Distributed estimation over a low-cost sensor network: A review of state-of-the-art","volume":"54","author":"He","year":"2020","journal-title":"Inf. Fusion"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1049\/iet-rsn.2018.5426","article-title":"Optimal sensor placement for multi-source AOA localisation with distance-dependent noise model","volume":"13","author":"Hamdollahzadeh","year":"2019","journal-title":"IET Radar Sonar Navig."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Zhou, R., Chen, J., Tan, W., and Cai, C. (2022). Sensor selection for optimal target localization with 3-D angle of arrival estimation in underwater wireless sensor networks. J. Mar. Sci. Eng., 10.","DOI":"10.3390\/jmse10020245"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/s11265-019-01467-4","article-title":"Direction-of-arrival estimation methods: A performance-complexity tradeoff perspective","volume":"92","author":"Gentilho","year":"2020","journal-title":"J. Signal Process. Syst."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1049\/cje.2016.03.029","article-title":"Optimality Analysis of Sensor-Target Geometries for Bearing-Only Passive Localization in Three Dimensional Space","volume":"25","author":"Zhong","year":"2016","journal-title":"Chin. J. Electron."},{"key":"ref_28","first-page":"787","article-title":"Complex network approaches to nonlinear time series analysis","volume":"97","author":"Zou","year":"2019","journal-title":"Phys. Rep."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"106559","DOI":"10.1016\/j.cie.2020.106559","article-title":"A mayfly optimization algorithm","volume":"145","author":"Zervoudakis","year":"2020","journal-title":"Comput. Ind. Eng."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"119765","DOI":"10.1016\/j.eswa.2023.119765","article-title":"Discrete Mayfly Algorithm for spherical asymmetric traveling salesman problem","volume":"221","author":"Zhang","year":"2023","journal-title":"Expert Syst. Appl."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Miao, S., Dong, L., and Hou, J. (2022). Dynamic base stations selection method for passive location based on GDOP. PLoS ONE, 17.","DOI":"10.1371\/journal.pone.0272487"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Hu, A., Deng, Z., Yang, H., Zhang, Y., Gao, Y., and Zhao, D. (2021). An Optimal Geometry Configuration Algorithm of Hybrid Semi-Passive Location System Based on Mayfly Optimization Algorithm. Sensors, 21.","DOI":"10.3390\/s21227484"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"115101","DOI":"10.1088\/1361-6501\/aadc4c","article-title":"An orientation estimation algorithm based on multi-source information fusion","volume":"29","author":"Liu","year":"2018","journal-title":"Meas. Sci. Technol."},{"key":"ref_34","first-page":"168","article-title":"Feedback-based target localization in underwater sensor networks: A multisensor fusion approach","volume":"5","author":"Yan","year":"2018","journal-title":"IEEE Trans. Signal Inf. Process. Netw."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1109\/TCOMM.2018.2875083","article-title":"Outlier detection and optimal anchor placement for 3-D underwater optical wireless sensor network localization","volume":"67","author":"Saeed","year":"2018","journal-title":"IEEE Trans. Commun."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/8\/2415\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:25:35Z","timestamp":1760106335000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/8\/2415"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,10]]},"references-count":35,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2024,4]]}},"alternative-id":["s24082415"],"URL":"https:\/\/doi.org\/10.3390\/s24082415","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2024,4,10]]}}}