The mobile channel is slow fading and time selective, thus the multiplicative and additive noise of the channel will smear the spectral line, or arouse Doppler spread. This spread will make the parameters estimation a...The mobile channel is slow fading and time selective, thus the multiplicative and additive noise of the channel will smear the spectral line, or arouse Doppler spread. This spread will make the parameters estimation accuracy degrade. The goal of this paper is to analytically assess this degradation when Carrier Frequency Offset (CFO) and Doppler shift exist jointly. Then the finite-sample Cramer-Rao Lower Bound (CRLB) is derived and close-form asymptotical expression is given for large-sample CRLB. These expressions give insights into the performance room for frequency estimation. Also the variance of Doppler shift estimator is simulated to illustrate the theoretical results.展开更多
This paper delves into the problem of optimal placement conditions for a group of agents collaboratively localizing a target using range-only or bearing-only measurements.The challenge in this study stems from the unc...This paper delves into the problem of optimal placement conditions for a group of agents collaboratively localizing a target using range-only or bearing-only measurements.The challenge in this study stems from the uncertainty associated with the positions of the agents,which may experience drift or disturbances during the target localization process.Initially,we derive the Cramer-Rao lower bound(CRLB)of the target position as the primary analytical metric.Subsequently,we establish the necessary and sufficient conditions for the optimal placement of agents.Based on these conditions,we analyze the maximal allowable agent position error for an expected mean squared error(MSE),providing valuable guidance for the selection of agent positioning sensors.The analytical findings are further validated through simulation experiments.展开更多
Exact estimation of space object attitude parameters is a great challenge.The effectiveness of conventional attitude estimation approaches based on target sizes suffers a significant reduction when occlusion exists.Th...Exact estimation of space object attitude parameters is a great challenge.The effectiveness of conventional attitude estimation approaches based on target sizes suffers a significant reduction when occlusion exists.This paper proposes an innovative approach to estimate the attitude parameters for space objects based on inverse synthetic aperture radar(ISAR)image sequences.The formulation for nonlinear size constraints(NSC)is developed by accounting for the characteristics of object size variation in ISAR image sequences.The multi-start framework for global optimization and the Broyden-Fletcher-Goldfarb-Shanno(BFGS)based quasi-Newton iterative method are combined with and used for more accurate estimation of space object’s attitude parameters.Furthermore,the Cramer-Rao lower bound(CRLB)of attitude parameter estimates is derived.Comparative experiments demonstrate the effectiveness and robustness of the proposed method.展开更多
现有直接定位(Direct Position Determination,DPD)算法主要研究对象是视距目标.针对传统无线电定位技术对超视距目标定位精度低的问题,提出一种辐射源信号波形已知的超视距直接定位(Over-the-Horizon Direct Position Determination,OD...现有直接定位(Direct Position Determination,DPD)算法主要研究对象是视距目标.针对传统无线电定位技术对超视距目标定位精度低的问题,提出一种辐射源信号波形已知的超视距直接定位(Over-the-Horizon Direct Position Determination,ODPD)方法.该方法基于电离层电子密度参数,依据最大似然(Maximum Likelihood,ML)准则,从信号数据域直接推导出仅关于目标位置的代价函数.其次,本文推导了关于电离层虚高测量误差的定位误差协方差矩阵.实验表明ODPD方法在低信噪比下相比现有算法,能显著提高超视距目标的定位精度,定位性能更接近克拉美罗界(Cramér-Rao Low Bound,CRLB).误差分析显示,电离层虚高误差标准差在20km时,引起的定位误差能控制在10km的范围内.展开更多
This article investigates the optimal observation configuration of unmanned aerial vehicles(UAVs) based on angle and range measurements, and generalizes predecessors' researches in two dimensions into three dimens...This article investigates the optimal observation configuration of unmanned aerial vehicles(UAVs) based on angle and range measurements, and generalizes predecessors' researches in two dimensions into three dimensions. The relative geometry of the UAVs-target will significantly affect the state estimation performance of the target, the cost function based on the Fisher information matrix(FIM) is used to derive the FIM determinant of UAVs' observation in three-dimensional space, and the optimal observation geometric configuration that maximizes the determinant of the FIM is obtained. It is shown that the optimal observation configuration of the UAVs-target is usually not unique, and the optimal observation configuration is proved for two UAVs and three UAVs in three-dimension. The long-range over-the-horizon target tracking is simulated and analyzed based on the analysis of optimal observation configuration for two UAVs. The simulation results show that the theoretical analysis and control algorithm can effectively improve the positioning accuracy of the target. It can provide a helpful reference for the design of over-the-horizon target localization based on UAVs.展开更多
针对海洋传感网(Ocean Sensor Networks,OSNs)中采用非协同算法单一循环地对多个水面目标节点依次定位导致的定位效率低、定位精度差等问题,提出一种基于有效集的再优化协同定位(Active Set Method based Re-Estimation Cooperative Loc...针对海洋传感网(Ocean Sensor Networks,OSNs)中采用非协同算法单一循环地对多个水面目标节点依次定位导致的定位效率低、定位精度差等问题,提出一种基于有效集的再优化协同定位(Active Set Method based Re-Estimation Cooperative Localization,ASM-RECL)算法。研究将原定位的非凸非线性问题转化为基于交替非负约束最小二乘(Alternative Nonnegative Constrained Least Squares,ANCLS)的优化问题,利用有效集法(Active Set Method,ASM)通过内外循环寻求优化问题的可行解。但ASM算法易陷入局部最优,为进一步提升解的质量,改进定位精度,基于ASM得出的可行解,应用一阶泰勒级数线性展开再次构造优化方程,最小化定位误差。此外,研究还推导得到基于协同定位的克劳美罗下界(Cooperative Localization-based Cramer-Rao Low Bound,CRLB-CL),以此作为评价标准评估提出的定位算法的有效性。仿真实验表明,在不同的条件下,ASM-RECL的定位精度较高于其他算法。展开更多
文摘The mobile channel is slow fading and time selective, thus the multiplicative and additive noise of the channel will smear the spectral line, or arouse Doppler spread. This spread will make the parameters estimation accuracy degrade. The goal of this paper is to analytically assess this degradation when Carrier Frequency Offset (CFO) and Doppler shift exist jointly. Then the finite-sample Cramer-Rao Lower Bound (CRLB) is derived and close-form asymptotical expression is given for large-sample CRLB. These expressions give insights into the performance room for frequency estimation. Also the variance of Doppler shift estimator is simulated to illustrate the theoretical results.
文摘This paper delves into the problem of optimal placement conditions for a group of agents collaboratively localizing a target using range-only or bearing-only measurements.The challenge in this study stems from the uncertainty associated with the positions of the agents,which may experience drift or disturbances during the target localization process.Initially,we derive the Cramer-Rao lower bound(CRLB)of the target position as the primary analytical metric.Subsequently,we establish the necessary and sufficient conditions for the optimal placement of agents.Based on these conditions,we analyze the maximal allowable agent position error for an expected mean squared error(MSE),providing valuable guidance for the selection of agent positioning sensors.The analytical findings are further validated through simulation experiments.
文摘Exact estimation of space object attitude parameters is a great challenge.The effectiveness of conventional attitude estimation approaches based on target sizes suffers a significant reduction when occlusion exists.This paper proposes an innovative approach to estimate the attitude parameters for space objects based on inverse synthetic aperture radar(ISAR)image sequences.The formulation for nonlinear size constraints(NSC)is developed by accounting for the characteristics of object size variation in ISAR image sequences.The multi-start framework for global optimization and the Broyden-Fletcher-Goldfarb-Shanno(BFGS)based quasi-Newton iterative method are combined with and used for more accurate estimation of space object’s attitude parameters.Furthermore,the Cramer-Rao lower bound(CRLB)of attitude parameter estimates is derived.Comparative experiments demonstrate the effectiveness and robustness of the proposed method.
文摘现有直接定位(Direct Position Determination,DPD)算法主要研究对象是视距目标.针对传统无线电定位技术对超视距目标定位精度低的问题,提出一种辐射源信号波形已知的超视距直接定位(Over-the-Horizon Direct Position Determination,ODPD)方法.该方法基于电离层电子密度参数,依据最大似然(Maximum Likelihood,ML)准则,从信号数据域直接推导出仅关于目标位置的代价函数.其次,本文推导了关于电离层虚高测量误差的定位误差协方差矩阵.实验表明ODPD方法在低信噪比下相比现有算法,能显著提高超视距目标的定位精度,定位性能更接近克拉美罗界(Cramér-Rao Low Bound,CRLB).误差分析显示,电离层虚高误差标准差在20km时,引起的定位误差能控制在10km的范围内.
基金supported by the National Natural Science Foundation of China(61703419)。
文摘This article investigates the optimal observation configuration of unmanned aerial vehicles(UAVs) based on angle and range measurements, and generalizes predecessors' researches in two dimensions into three dimensions. The relative geometry of the UAVs-target will significantly affect the state estimation performance of the target, the cost function based on the Fisher information matrix(FIM) is used to derive the FIM determinant of UAVs' observation in three-dimensional space, and the optimal observation geometric configuration that maximizes the determinant of the FIM is obtained. It is shown that the optimal observation configuration of the UAVs-target is usually not unique, and the optimal observation configuration is proved for two UAVs and three UAVs in three-dimension. The long-range over-the-horizon target tracking is simulated and analyzed based on the analysis of optimal observation configuration for two UAVs. The simulation results show that the theoretical analysis and control algorithm can effectively improve the positioning accuracy of the target. It can provide a helpful reference for the design of over-the-horizon target localization based on UAVs.
文摘针对海洋传感网(Ocean Sensor Networks,OSNs)中采用非协同算法单一循环地对多个水面目标节点依次定位导致的定位效率低、定位精度差等问题,提出一种基于有效集的再优化协同定位(Active Set Method based Re-Estimation Cooperative Localization,ASM-RECL)算法。研究将原定位的非凸非线性问题转化为基于交替非负约束最小二乘(Alternative Nonnegative Constrained Least Squares,ANCLS)的优化问题,利用有效集法(Active Set Method,ASM)通过内外循环寻求优化问题的可行解。但ASM算法易陷入局部最优,为进一步提升解的质量,改进定位精度,基于ASM得出的可行解,应用一阶泰勒级数线性展开再次构造优化方程,最小化定位误差。此外,研究还推导得到基于协同定位的克劳美罗下界(Cooperative Localization-based Cramer-Rao Low Bound,CRLB-CL),以此作为评价标准评估提出的定位算法的有效性。仿真实验表明,在不同的条件下,ASM-RECL的定位精度较高于其他算法。
