1. Electrical Engineering College, Yanshan University, Qinhuangdao, Hebei 066004, China
2. Hebei Province Key Laboratory of Special Optical Fiber and Optical Fiber Sensing, Yanshan University, Qinhuangdao, Hebei 066004, China
Abstract：A new localization method for marine wireless sensors networks based on asymmetric round-trip ranging(LMARR) is proposed. The algorithm uses the time difference between the asymmetric reception and transmission of ranging information between nodes to calculate the seawater sound velocity and the unknown between nodes. The distance between a node and its neighbors reference node, converts the three-dimensional distance information into two-dimensional, and uses the least square method to complete the localization calculation. Compared with the SWN and ARTL algorithms, simulation results show that the LMARR algorithm can effectively improve the accuracy of node localization, especially in the areas where the sound velocity of seawater continuously changes at a depth of 20～120m, the localization accuracy is 20% higher than the SWN algorithm, and is 33% better than ARTL. In addition, the LMARR algorithm also has high stability.
［1］闫敬, 张立, 罗小元, 等. 异步时钟下基于信息物理融合的水下潜器协同定位算法［J］. 自动化学报, 2019, 45(4): 739-748.
Yan J, Zhang L, Luo X Y, er al. Cyber-Physical Cooper-ative Localization Algorithns for Underwater Vehicle With Asynchronous Time Clock［J］. Acta Automatica Sinica, 2019, 45(4): 739-748.
［2］郭瑞, 王璇, 林思建, 等. 一种改进混沌粒子群优化的节点定位算法［J］. 计量学报, 2015, 36(2): 202-206.
Guo R, Wang X, Lin S J, et al. An Improved Chaotic Particle Swarm Optimmization Node Localization Algori-thm［J］. Acta Metrologica Sinica, 2015, 36(2): 202-206.
［3］Ma Z, Ho K C. TOA localization in the presence of random sensor position errors［C］// Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing. Prague, Czech Republic. 2011: 2468-2471
［4］Wang L, Hon T K, Reiss J D, et al. Self-Localization of Ad-Hoc Arrays Using Time Difference of Arrivals［J］. IEEE Transactions on Signal Processing, 2016, 64(4): 1018-1033.
［5］Huang H, Zheng Y R. Node localization with AoA assistance in multi-hop underwater sensor networks［J］. Ad Hoc Networks, 2018, 78: 32-41.
［6］Yan J, Wan Y, Fu S, et al. Received signal strength indicator-based decentralised control for robust long-range aerial networking using directional antennas［J］. IET Control Theory & Applications, 2017, 11(11): 1838-1847.
［7］冯晓宁, 王卓, 朱晓龙, 等. 多普勒辅助水下传感器网络时间同步机制研究［J］. 通信学报, 2017, 38(1): 9-15.
Feng X N, Wang Z, Zhu X L, et al. Doppler auxiliary time synchronization algorithm for underwater acoustic sensor network［J］. Journal on Communications, 2017, 38(1): 9-15.
［8］Jun L, Zhong Z, Zheng P, et al. Mobi-Sync: Efficient Time Synchronization for Mobile Underwater Sensor Networks［J］. IEEE Transactions on Parallel and Distri-buted Systems, 2013, 24(2): 406-416.
［9］Mirza D, Schurgers C. Energy-Efficient Ranging for Post-Facto Self-Localization in Mobile Underwater Networks［J］. IEEE Journal on Selected Areas in Communications, 2008, 26(9): 1697-1707.
［10］Cheng X, Shu H S H, Liang Q. A Range-Difference Based Self-Positioning Scheme for Underwater Acoustic Sensor Networks［C］// International Conference on Wire-less Algorithms, Systems and Applications. Chica-go, USA, 2007: 38-43.
［11］Cheng W, Thaeler A, Cheng X, et al. Time-Synchron-ization Free Localization in Large Scale Underwater Acoustic Sensor Networks［C］// 2009 29th IEEE Interna-tional Conference on Distributed Computing Syst-ems Workshops. Montreal, Canada. 2009: 80-87.
［12］Teymorian A Y, Cheng W, Ma L, et al. 3D Underwater Sensor Network Localization［J］. IEEE Transactions on Mobile Computing, 2009, 8(12): 1610-1621.
［13］ Hahn M J. Undersea navigation via a distributed acoustic communication network［D］. Annapolis:United States Naval Academy, 2005.
［14］Liu B, Chen H, Zhong Z, et al. Asymmetrical Round Trip Based Synchronization-Free Localization in Large-Scale Underwater Sensor Networks［J］. IEEE Transac-tions on Wireless Communications, 2010, 9(11): 3532-3542.
［15］吕睿, 阳宪惠. 减少无线传感器网络节点定位误差的方法［J］. 清华大学学报(自然科学版), 2008, 48(S2): 1839-1843.
Lü R, Yang X H. Reduction of wireless sensor node localization errors［J］. J Tsinghua Univ(Sci & Tech), 2008, 48(S2): 1839-1843.
［16］韩云峰. 大规模水下传感器网络节点精确定位技术研究［D］. 哈尔滨: 哈尔滨工程大学, 2016.
［17］孙大军, 郑翠娥, 崔宏宇, 等. 水下传感器网络定位技术发展现状及若干前沿问题［J］. 信息科学, 2018, 48(9): 1121-1136.
Sun D J, Zhen C E, Cui H Y, et al. Developing status and some cutting-edge issues of underwater sensor network localization technology［J］. Sci Sin Inform, 2018, 48(9): 1121-1136.
［18］Liu J, Wang Z, Cui J H, et al. A Joint Time Synchroni-zation and Localization Design For Mobile Underwater Sensor Networks［J］. IEEE Transactions on Mobile Computing, 2016, 15(3): 530-543.
［19］冯晨, 张玲华. 改进混合蛙跳算法在无线传感网定位中的应用［J］. 计量学报, 2013, 34(4): 360-365.
Feng C, Zhang L H. The Application of Modified Shuttled Frog Leaping Algorithm in the Positioning of Wireless Sensor Network［J］. Acta Metrologica Sinica, 2013, 34(4): 360-365.
［20］张立国, 任立彬, 金梅, 等. 蚁群循环定位算法在WSNs节点定位中的应用［J］. 计量学报, 2015, 36(4): 365-369.
Zhang L G, Ren L B, Jin M, et al. The Application of Ant Colony Loop Localization Algorithm in the WSNs Node Localization［J］. Acta Metrologica Sinica, 2015, 36(4): 365-369.
2020, Vol. 41 
