For the joint time difference of arrival（TDOA） and angle of arrival（AOA） location scene,two methods are proposed based on the rectangular coordinates and the polar coordinates,respectively.The problem is solved pe...For the joint time difference of arrival（TDOA） and angle of arrival（AOA） location scene,two methods are proposed based on the rectangular coordinates and the polar coordinates,respectively.The problem is solved perfectly by calculating the target position with the joint TDOA and AOA location.On the condition of rectangular coordinates,first of all,it figures out the radial range between target and reference stations,then calculates the location of the target.In the case of polar coordinates,first of all,it figures out the azimuth between target and reference stations,then figures out the radial range between target and reference stations,finally obtains the location of the target.Simultaneously,simulation analyses show that the theoretical analysis is correct,and the proposed methods also provide the application of the joint TDOA and AOA location algorithm with the theoretical basis.展开更多
Based on the time differences of arrival(TDOA) and frequency differences of arrival(FDOA) measurements of the given planar stationary radiation source, the joint TDOA/FDOA location algorithm which solves the location ...Based on the time differences of arrival(TDOA) and frequency differences of arrival(FDOA) measurements of the given planar stationary radiation source, the joint TDOA/FDOA location algorithm which solves the location of the target directly is proposed. Compared with weighted least squares(WLS) methods,the proposed algorithm is also suitable for well-posed conditions,and gets rid of the dependence on the constraints of Earth's surface. First of all, the solution formulas are expressed by the radial range. Then substitute it into the equation of the radial range to figure out the radial range between the target and the reference station. Finally use the solution expression of the target location to estimate the location of the target accurately. The proposed algorithm solves the problem that WLS methods have a large positioning error when the number of observation stations is not over-determined. Simulation results show the effectiveness of the proposed algorithm, including effectively increasing the positioning accuracy and reducing the number of observatories.展开更多
随着电子战、信息战在现代军事领域的地位日趋重要,基于外辐射源的定位跟踪方法成为现代雷达领域的研究热点。针对通过单站接收多外辐射源信号获取角度(direction of arrival,DOA)和时差(time difference of arrival,TDOA)信息对运动目...随着电子战、信息战在现代军事领域的地位日趋重要,基于外辐射源的定位跟踪方法成为现代雷达领域的研究热点。针对通过单站接收多外辐射源信号获取角度(direction of arrival,DOA)和时差(time difference of arrival,TDOA)信息对运动目标跟踪的问题,首先推导角度和时差的伪线性观测方程,在通过最小二乘(least squares,LS)算法获取初值的条件下,利用传统的卡尔曼滤波算法实现目标的跟踪,该方法称为伪线性卡尔曼滤波(pseudo-liner Kalman filter,PKF)算法。进一步分析观测方程,提出了利用迭代的IPKF(iterative PKF)目标跟踪算法,并推导其克拉美罗下界(Cramer-Rao lower bound,CRLB)。仿真实验分析说明,该IPKF算法的跟踪精度、收敛速度和稳定性均优于传统的扩展卡尔曼滤波(extended Kalman filter,EKF)算法,且迭代次数越多,性能越好,观测误差越小,跟踪误差越接近CRLB。展开更多
针对利用单个观测站接收多个外辐射源信号对静态目标的定位问题,提出了一种基于融合的定位方法。首先依据单个外辐射源,建立时差和到达角的观测方程;然后构建测量误差的概率密度函数,利用最大似然估计得到目标位置的解析解;最后利用最...针对利用单个观测站接收多个外辐射源信号对静态目标的定位问题,提出了一种基于融合的定位方法。首先依据单个外辐射源,建立时差和到达角的观测方程;然后构建测量误差的概率密度函数,利用最大似然估计得到目标位置的解析解;最后利用最大似然方法将依据单个外辐射源得到的目标位置进行融合,得到目标位置的融合解。仿真结果表明,文章多外辐射源融合定位的克拉美罗界(Cramer-Rao lower bound,CRLB)低于单外辐射源定位,联合角度(direction of arrival,DOA)和时差(time difference of arrival,TDOA)定位的CRLB低于仅利用时差定位,且文章算法的定位误差逼近CRLB。系统几何精度因子(geometric dilution of precision,GDOP)图表明,影响定位精度的主要因素是测量误差、目标的位置和辐射源个数及位置。展开更多
基金supported by the National Natural Science Foundation of China(6107210761271300)+4 种基金the Shaanxi Industry Surmount Foundation(2012K06-12)the Arm and Equipment Pre-research Foundationthe Fundamental Research Funds for the Central Universities of China(K0551302006K5051202045K50511020024)
文摘For the joint time difference of arrival（TDOA） and angle of arrival（AOA） location scene,two methods are proposed based on the rectangular coordinates and the polar coordinates,respectively.The problem is solved perfectly by calculating the target position with the joint TDOA and AOA location.On the condition of rectangular coordinates,first of all,it figures out the radial range between target and reference stations,then calculates the location of the target.In the case of polar coordinates,first of all,it figures out the azimuth between target and reference stations,then figures out the radial range between target and reference stations,finally obtains the location of the target.Simultaneously,simulation analyses show that the theoretical analysis is correct,and the proposed methods also provide the application of the joint TDOA and AOA location algorithm with the theoretical basis.
基金supported by the National Natural Science Foundation of China(6140236561271300)the 13th Five-Year Weaponry PreResearch Project。
文摘Based on the time differences of arrival(TDOA) and frequency differences of arrival(FDOA) measurements of the given planar stationary radiation source, the joint TDOA/FDOA location algorithm which solves the location of the target directly is proposed. Compared with weighted least squares(WLS) methods,the proposed algorithm is also suitable for well-posed conditions,and gets rid of the dependence on the constraints of Earth's surface. First of all, the solution formulas are expressed by the radial range. Then substitute it into the equation of the radial range to figure out the radial range between the target and the reference station. Finally use the solution expression of the target location to estimate the location of the target accurately. The proposed algorithm solves the problem that WLS methods have a large positioning error when the number of observation stations is not over-determined. Simulation results show the effectiveness of the proposed algorithm, including effectively increasing the positioning accuracy and reducing the number of observatories.
文摘针对利用单个观测站接收多个外辐射源信号对静态目标的定位问题,提出了一种基于融合的定位方法。首先依据单个外辐射源,建立时差和到达角的观测方程;然后构建测量误差的概率密度函数,利用最大似然估计得到目标位置的解析解;最后利用最大似然方法将依据单个外辐射源得到的目标位置进行融合,得到目标位置的融合解。仿真结果表明,文章多外辐射源融合定位的克拉美罗界(Cramer-Rao lower bound,CRLB)低于单外辐射源定位,联合角度(direction of arrival,DOA)和时差(time difference of arrival,TDOA)定位的CRLB低于仅利用时差定位,且文章算法的定位误差逼近CRLB。系统几何精度因子(geometric dilution of precision,GDOP)图表明,影响定位精度的主要因素是测量误差、目标的位置和辐射源个数及位置。
