控制理论与应用2016，Vol.33Issue(10)：1405-1411,7.DOI:10.7641/CTA.2016.50850
势平衡多目标多伯努利滤波器高斯混合实现的收敛性分析
Convergence analysis for the Gaussian mixture implementation of the CBMeMBer filter
摘要
Abstract
The convergence for the Gaussian mixture (GM) implementation of the cardinality balanced multi-target multi-Bernoulli (CBMeMBer) filter is studied. This paper proves that the GM–CBMeMBer filter converges uniformly to the true CBMeMBer filter in the linear Gaussian model as the number of Gaussians in the mixture tends to infinity. In addition, this paper proves the extended Kalman (EK) filter approximations of the GM–CBMeMBer filter in weak nonlinear condition—EK–GM–CBMeMBer filter, converges uniformly to the true CBMeMBer filter as the covariance of each Gaussian term tends to zero. The purpose of this paper is to theoretically present the convergence results of the CBMeMBer filter’s GM implementation, perfecting the theoretical research of the CBMeMBer filter for the multi-target tracking problem.关键词
多目标跟踪/随机有限集/多伯努利/高斯混合/收敛性分析Key words
multi-target tracking/random finite set/multi-Bernoulli/Gaussian mixture/convergence analysis分类
信息技术与安全科学引用本文复制引用
张光华,连峰,韩崇昭,王婷婷..势平衡多目标多伯努利滤波器高斯混合实现的收敛性分析[J].控制理论与应用,2016,33(10):1405-1411,7.基金项目
国家重点基础研究发展计划(“973”计划)(2013CB329405),国家自然科学基金创新研究群体项目(61221063),国家自然科学基金项目(61573271,61473217,61370037)资助 （“973”计划）
