The solution of the grey model(GM(1,1)model)generally involves equal-precision observations,and the(co)variance matrix is established from the prior information.However,the data are generally available with unequal-pr...The solution of the grey model(GM(1,1)model)generally involves equal-precision observations,and the(co)variance matrix is established from the prior information.However,the data are generally available with unequal-precision measurements in reality.To deal with the errors of all observations for GM(1,1)model with errors-in-variables(EIV)structure,we exploit the total least-squares(TLS)algorithm to estimate the parameters of GM(1,1)model in this paper.Ignoring that the effect of the improper prior stochastic model and the homologous observations may degrade the accuracy of parameter estimation,we further present a nonlinear total least-squares variance component estimation approach for GM(1,1)model,which resorts to the minimum norm quadratic unbiased estimation(MINQUE).The practical and simulative experiments indicate that the presented approach has significant merits in improving the predictive accuracy in comparison with control methods.展开更多
This paper presents a new method of improving Global Positioning System(GPS)positioning precision. Based on the altitude hold mode, the method does not need any other equipment. Under this constraint condition, the To...This paper presents a new method of improving Global Positioning System(GPS)positioning precision. Based on the altitude hold mode, the method does not need any other equipment. Under this constraint condition, the Total Least Squares(TLS) algorithm is used to prove that the method is effective. Theoretical analysis shows that the algorithm can significantly improve the GPS positioning precision.展开更多
基于几何绕射理论(geometrical theory of diffraction,GTD)的散射中心信号模型可以精确描述隐身目标电磁散射特性,将总体最小二乘旋转矢量不变技术(total least squares-estimating signal parameter via rotational invariance techni...基于几何绕射理论(geometrical theory of diffraction,GTD)的散射中心信号模型可以精确描述隐身目标电磁散射特性,将总体最小二乘旋转矢量不变技术(total least squares-estimating signal parameter via rotational invariance techniques,TLS-ESPRIT)算法引入此模型中,为散射中心提取提供了超分辨率算法。针对TLS-ESPRIT算法在低信噪比条件下估计精度不高的问题,引入Hankel矩阵改进TLS-ESPRIT算法对回波数据处理的过程,改进后的算法提高了在低信噪比情况下对散射中心参数估计的精度,具有更好的噪声鲁棒性。在对目标的识别以及雷达散射截面(radar cross section,RCS)重构方面具有重要意义。展开更多
基金supported by the National Natural Science Foundation of China(No.41874001 and No.41664001)Support Program for Outstanding Youth Talents in Jiangxi Province(No.20162BCB23050)National Key Research and Development Program(No.2016YFB0501405)。
文摘The solution of the grey model(GM(1,1)model)generally involves equal-precision observations,and the(co)variance matrix is established from the prior information.However,the data are generally available with unequal-precision measurements in reality.To deal with the errors of all observations for GM(1,1)model with errors-in-variables(EIV)structure,we exploit the total least-squares(TLS)algorithm to estimate the parameters of GM(1,1)model in this paper.Ignoring that the effect of the improper prior stochastic model and the homologous observations may degrade the accuracy of parameter estimation,we further present a nonlinear total least-squares variance component estimation approach for GM(1,1)model,which resorts to the minimum norm quadratic unbiased estimation(MINQUE).The practical and simulative experiments indicate that the presented approach has significant merits in improving the predictive accuracy in comparison with control methods.
文摘This paper presents a new method of improving Global Positioning System(GPS)positioning precision. Based on the altitude hold mode, the method does not need any other equipment. Under this constraint condition, the Total Least Squares(TLS) algorithm is used to prove that the method is effective. Theoretical analysis shows that the algorithm can significantly improve the GPS positioning precision.
文摘基于几何绕射理论(geometrical theory of diffraction,GTD)的散射中心信号模型可以精确描述隐身目标电磁散射特性,将总体最小二乘旋转矢量不变技术(total least squares-estimating signal parameter via rotational invariance techniques,TLS-ESPRIT)算法引入此模型中,为散射中心提取提供了超分辨率算法。针对TLS-ESPRIT算法在低信噪比条件下估计精度不高的问题,引入Hankel矩阵改进TLS-ESPRIT算法对回波数据处理的过程,改进后的算法提高了在低信噪比情况下对散射中心参数估计的精度,具有更好的噪声鲁棒性。在对目标的识别以及雷达散射截面(radar cross section,RCS)重构方面具有重要意义。
