双参不确定的无线传感器网络三阶定位算法
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1.上海海事大学商船学院上海201306;2.上海海事大学物流科学与工程研究院上海201306; 3.上海船舶运输科学研究所有限公司上海200135

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TN92;TP393

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国家自然科学基金(52201401, 52331012, 52071200, 52201403, 52102397)、国家重点研发计划(2021YFC2801000)、上海市优秀学术/技术带头人计划(22XD1431000)、上海市科学技术委员会重点项目(23010502000)、上海市教育发展基金会和上海市教育委员会“晨光计划”(24CGA52, 23CGA61)、水路交通控制全国重点实验室开放课题(QZ2022Y016)项目资助


Three-step localization algorithm in WSNs under two uncertain parameters
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1.Merchant Marine College, Shanghai Maritime University, Shanghai 201306, China; 2.Institute of Logistics Science and Engineering, Shanghai Maritime University, Shanghai 201306, China; 3.Shanghai Ship and Shipping Research Institute Co., Ltd., Shanghai 200135, China

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    摘要:

    节点定位是位置信息获取的重要手段,已成为无线传感器网络(WSNs)关键技术之一。针对WSNs基于信号衰减模型中发射功率(TP)、路径损耗因子(PLE)等参数不确定性导致定位精度下降的问题,提出一种由粗至细的三阶定位方法(CFTL)。首先,通过差分形式,消除TP不确定影响,应用泰勒级数一阶展开式和对数换底操作,将定位问题转化为自然常数的最小二乘估计(NC-LSE)框架,并通过线性无偏估计法求得粗粒度位置;其次,基于粗粒度信息,构建PLE为变量的目标优化函数,引入美洲狮优化(PO)算法,优化模型中PLE值;最后,代入优化后的PLE,建立差分广义信赖域子问题(DGTRS)框架,并运用二分法求得细粒度位置。此外,应用分块矩阵广义逆定理,还推导得到双参不确定条件下的克拉美罗下界(CRLB),以评估提出算法的有效性。仿真实验及实测结果表明,所提出方法能够在不同条件下,相比于现有方法在双参不确定情况的定位精度提升至少10.96%,最高达32.18%。

    Abstract:

    Node localization is a critical technique for acquiring location information and has emerged as a fundamental technology within wireless sensor networks (WSNs). Localization accuracy in wireless sensor networks (WSNs) can deteriorate due to uncertainties in the transmit power (TP) and path loss exponent (PLE). To address this challenge, a coarse-to-fine third-order localization method (CFTL) is proposed. First, TP uncertainty is mitigated using differential forms. The problem is then reformulated into a natural constant-based least squares estimation (NC-LSE) framework through first-order Taylor expansion and logarithmic transformations, with coarse-grained positions obtained via a linear unbiased estimation method. Second, an optimization function with PLE as the variable is constructed, and the puma optimization (PO) algorithm is employed to estimate the PLE. Third, the optimized PLE is incorporated into the differential-based generalized trust region subproblem (DGTRS) framework, and the fine-grained position is calculated using the bisection method. Additionally, the generalized inverse theorem for block matrices is applied to derive the Cram-r-Rao lower bound (CRLB) under dual-parameter uncertainty, assessing the algorithm’s effectiveness. Simulation and practical results demonstrate that the proposed method enhances localization accuracy by at least 10.96% and up to 32.18% compared to existing methods across various conditions.

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梅骁峻,吴华锋,陈信强,鲜江峰,吴中岱.双参不确定的无线传感器网络三阶定位算法[J].电子测量与仪器学报,2025,39(5):19-28

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  • 在线发布日期: 2025-07-04
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