基于精确球面波模型的近场分布式目标定位方法OA
Near-field localization method of distributed targets based on exact spherical-wave model
针对现有近场分布式目标定位中菲涅尔近似带来的模型失配及压缩感知类算法计算量大的问题,提出了一种基于精确球面波模型的近场分布式目标定位方法.通过二阶泰勒展开将非线性协方差参数化为一组泰勒基矩阵与方位矩的线性组合,并基于协方差匹配构建线性最小二乘估计器,给出中心参数与扩展参数的闭式解.同时推导精确的克拉美罗界,并引入辅助变量与蒙特卡罗采样解决高维积分计算难题.仿真结果表明,所提方法在中心与扩展参数估计上优于已有秩损方法与稀疏贝叶斯学习;在信噪比为10 dB、快拍数为1 200时,平均运行时间为0.015 6 s,相比稀疏贝叶斯学习和秩损方法分别约提速680倍和1.7倍,有利于工程应用与推广.
To mitigate the model mismatch caused by Fresnel approximations in near-field distributed-target localization and the high computational burden of compressive-sensing-based methods,a near-field distributed-target localization method was proposed based on the exact spherical-wave model.A second-order Taylor expansion was used to parameter-ize the nonlinear covariance matrix as a linear combination of precomputable Taylor basis matrices and spatial moment parameters.A covariance-matching linear least-squares estimator was then developed,yielding closed-form solutions for the central and spread parameters.In addition,the exact Cramér-Rao bound(CRB)was derived,and an auxiliary-variable reformulation with Monte Carlo sampling was introduced to efficiently evaluate the resulting high-dimensional integrals.Simulation results show that the proposed method outperforms the rank-reduction(RARE)method and sparse Bayesian learning(SBL)in estimating both central and spread parameters.It also achieves an average runtime of 0.015 6 s when the signal-to-noise ratio is 10 dB with 1 200 snapshots,providing about 680×and 1.7×speedups over SBL and RARE method,respectively,which highlights its potential for practical near-field localization applications.
刘亚鹏;高洪元;望明星;吴林隆
哈尔滨工程大学信息与通信工程学院,黑龙江 哈尔滨 150001哈尔滨工程大学信息与通信工程学院,黑龙江 哈尔滨 150001电子科技大学信息与通信工程学院,四川 成都 611731电子科技大学信息与通信工程学院,四川 成都 611731
信息技术与安全科学
近场定位分布式目标精确球面波模型方位矩估计克拉美罗界
near-field localizationdistributed targetexact spherical-wave modelspatial moment estimationCRB
《通信学报》 2026 (5)
1-13,13
国家自然科学基金资助项目(No.62372131)中央高校基本科研业务费专项资金资助项目(No.3072025YC0801)哈尔滨工程大学信息与通信工程学院院长创新基金资助项目哈尔滨工程大学博士研究生校长创新基金资助项目 The National Natural Science Foundation of China(No.62372131),The Fundamental Research Funds for the Central Universities(No.3072025YC0801),Innovation Fund,College of Information and Communication Engineering,Harbin Engi-neering University(HEU),HEU Presidential Innovation Fund for Ph.D Students
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