It is well known that the Two-step Weighted Least-Squares(TWLS) is a widely used method for source localization and sensor position refinement. For this reason, we propose a unified framework of the TWLS method for jo...It is well known that the Two-step Weighted Least-Squares(TWLS) is a widely used method for source localization and sensor position refinement. For this reason, we propose a unified framework of the TWLS method for joint estimation of multiple disjoint sources and sensor locations in this paper. Unlike some existing works, the presented method is based on more general measurement model, and therefore it can be applied to many different localization scenarios.Besides, it does not have the initialization and local convergence problem. The closed-form expression for the covariance matrix of the proposed TWLS estimator is also derived by exploiting the first-order perturbation analysis. Moreover, the estimation accuracy of the TWLS method is shown analytically to achieve the Cramér-Rao Bound(CRB) before the threshold effect takes place. The theoretical analysis is also performed in a common mathematical framework, rather than aiming at some specific signal metrics. Finally, two numerical experiments are performed to support the theoretical development in this paper.展开更多
The Landweber scheme is a method for algebraic image reconstructions. The convergence behavior of the Landweber scheme is of both theoretical and practical importance. Using the diagonalization of matrix, we derive a ...The Landweber scheme is a method for algebraic image reconstructions. The convergence behavior of the Landweber scheme is of both theoretical and practical importance. Using the diagonalization of matrix, we derive a neat iterative representation formula for the Landweber schemes and consequently establish the convergence conditions of Landweber iteration. This work refines our previous convergence results on the Landweber scheme.展开更多
针对电力系统中存在的间谐波问题,提出了一种基于APES(Amplitude and Phase Estimation,APES)算法的间谐波检测方法。该方法是在误差功率最小化目标下的非参数估计方法。分析了该方法在加权最小二乘解释及滤波器组解释下与其他谱估计方...针对电力系统中存在的间谐波问题,提出了一种基于APES(Amplitude and Phase Estimation,APES)算法的间谐波检测方法。该方法是在误差功率最小化目标下的非参数估计方法。分析了该方法在加权最小二乘解释及滤波器组解释下与其他谱估计方法的联系,说明了该方法是对信号频率的渐近无偏估计。通过实验仿真对比了在不同采样时间及信噪比条件下APES算法与其他算法的频率估计精度,证明了该方法具有较好的抗噪性及短时间窗估计特性。展开更多
基金co-supported by the National Natural Science Foundation of China (Nos. 61201381, 61401513 and 61772548)the China Postdoctoral Science Foundation (No. 2016M592989)+1 种基金the Self-Topic Foundation of Information Engineering University, China (No. 2016600701)the Outstanding Youth Foundation of Information Engineering University, China (No. 2016603201)
文摘It is well known that the Two-step Weighted Least-Squares(TWLS) is a widely used method for source localization and sensor position refinement. For this reason, we propose a unified framework of the TWLS method for joint estimation of multiple disjoint sources and sensor locations in this paper. Unlike some existing works, the presented method is based on more general measurement model, and therefore it can be applied to many different localization scenarios.Besides, it does not have the initialization and local convergence problem. The closed-form expression for the covariance matrix of the proposed TWLS estimator is also derived by exploiting the first-order perturbation analysis. Moreover, the estimation accuracy of the TWLS method is shown analytically to achieve the Cramér-Rao Bound(CRB) before the threshold effect takes place. The theoretical analysis is also performed in a common mathematical framework, rather than aiming at some specific signal metrics. Finally, two numerical experiments are performed to support the theoretical development in this paper.
基金Supported by the National Natural Science Foundation of China(No.61071144,61271012,61121002,10990013)
文摘The Landweber scheme is a method for algebraic image reconstructions. The convergence behavior of the Landweber scheme is of both theoretical and practical importance. Using the diagonalization of matrix, we derive a neat iterative representation formula for the Landweber schemes and consequently establish the convergence conditions of Landweber iteration. This work refines our previous convergence results on the Landweber scheme.
文摘针对电力系统中存在的间谐波问题,提出了一种基于APES(Amplitude and Phase Estimation,APES)算法的间谐波检测方法。该方法是在误差功率最小化目标下的非参数估计方法。分析了该方法在加权最小二乘解释及滤波器组解释下与其他谱估计方法的联系,说明了该方法是对信号频率的渐近无偏估计。通过实验仿真对比了在不同采样时间及信噪比条件下APES算法与其他算法的频率估计精度,证明了该方法具有较好的抗噪性及短时间窗估计特性。
