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星凸形不规则形状多扩展目标PMBM滤波器OA

Star convex irregular shape multi-extended target PMBM filter

中文摘要英文摘要

针对复杂不确定环境下具有不规则形状的多扩展目标跟踪问题,提出一种星凸形不规则形状多扩展目标泊松多伯努利混合(PMBM)滤波算法.分别利用泊松点过程(PPP)和多伯努利混合(MBM)对未知目标集合和现有目标集合进行建模,有效表示潜在目标信息,并建立高效的多目标密度递推形式;采用随机超曲面模型对任意星凸形扩展目标的量测源分布进行精准建模,利用最优非线性滤波求解高度非线性的伪量测方程,在推导扩展目标泊松多伯努利混合(ETPMBM)滤波器的基础上,详细推导并提出高斯混合星凸形不规则形状多扩展目标PMBM滤波算法;该算法能够建立更紧凑的多伯努利全局假设,从而高效递推包含不规则形状等多特征信息的多扩展目标概率密度.通过多扩展目标和多群目标跟踪仿真实验验证了所提算法的有效性.

This work suggests a star convex irregular shape multi-extended target Poisson multi-Bernoulli mixture(PMBM)filtering algorithm to address the challenge of monitoring multiple extended targets with irregular shapes in complicated and uncertain situations.First,the Poisson point process(PPP)and multi-Bernoulli mixture(MBM)are used to model the unknown and existing target sets,effectively representing potential target information while establishing an efficient multi-target density recursive form.The measurement source distribution of any star convex extended target is accurately modeled by the random hypersurface model,and the best nonlinear filter solves the highly nonlinear pseudo measurement equation.On the basis of deriving the extended target Poisson multi-Bernoulli mixture(ETPMBM)filter,the Gaussian mixture star convex irregular shape multi-extended target PMBM filter algorithm is derived and proposed in detail.In order to effectively and recursively estimate the probability density of numerous extended targets with multiple feature information,including irregular forms,this approach can create more compact multi-Bernoulli global hypotheses.Finally,the effectiveness of the algorithm proposed in this paper is verified through simulation experiments of multiple extended target tracking and multiple group target tracking.

陈辉;刘孟波;连峰;韩崇昭

兰州理工大学 自动化与电气工程学院,兰州 730050兰州理工大学 自动化与电气工程学院,兰州 730050西安交通大学 自动化科学与工程学院,西安 710049西安交通大学 自动化科学与工程学院,西安 710049

信息技术与安全科学

多扩展目标跟踪随机超曲面模型泊松多伯努利混合最优非线性滤波高斯混合

multiple extended target trackingrandom hypersurface modelPoisson multi-Bernoulli mixtureoptimal nonlinear filterGaussian mixture

《北京航空航天大学学报》 2026 (1)

49-60,12

国家自然科学基金(62163023)甘肃省基础研究创新群体(25JRRA058)中央引导地方科技发展资金项目(25ZYJA040)甘肃省重点人才项目(2024RCXM86) National Natural Science Foundation of China(62163023)Gansu Provincial Basic Research Innovation Group of China(25JRRA058)Central Government's Funds for Guiding Local Science and Technology Development of China(25ZYJA040)Gansu Provincial Key Talent Project of China(2024RCXM86)

10.13700/j.bh.1001-5965.2023.0766

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