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残差向量
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  residual vector
     According to the filtering formula deduced by the generalized least squares method and the fundamental principle of Helmert variance estimation, a new variance estimation formula with forecast residual vector is deduced.
     基于广义最小二乘法导出的滤波公式,根据赫尔默特方差估计的基本原理,推导出了用预测残差向量进行方差估计的新公式.
短句来源
     And then the residual vector is designed by Leunberger state observer.
     然后利用Leunberger状态观测器构建了这一残差向量;
短句来源
     For independent and heteroscedastic errors generated by increasing from the independent, identically distributed errors, according to the Bahadur-type linear representation of M-estimate of unknowns, this paper derives the Bahadur-type linear representation of the basic vector including the observational vector, the residual vector, the estimated vector of the unknowns and the adjusted observational vector.
     针对由独立同分布误差膨胀而成的独立不等精度误差,根据未知参数的M估计的Ba hadur型线性表达式,本文导出了由观测量、残差向量、参数估计量和观测量平差向量组成的基本向量的Bahadur型表达式。
短句来源
     For L_q-norm estimate with errors being normally distributed, the covariance matrices between the residual vector and the estimated vector of the unknown parameters, as well as the adjusted observational vector are not zero.
     对最小二乘估计,残差向量与参数估计量和观测量的平差向量统计独立,相应的协方差矩阵为零,这一性质与误差分布无关。
短句来源
     After a brief review of Sage adaptive filtering,the relations of analytical expressions and covariance matrices between the basic random vector,such as residual vector,innovation vector and correction vector of predicted state,are derived and discussed.
     动态导航与定位的质量取决于对动态载体扰动和观测异常扰动的认知和控制。 本文首先介绍了目前广泛使用的 Sage自适应滤波 ,讨论了自适应滤波的残差向量、新息向量及状态参数预报值残差向量的解析关系 ,以及它们之间的协方差矩阵之间的关系 ;
短句来源
更多       
  residual vectors
     After a brief introduction of sage adaptive filtering, the shortcomings of covariance matrix adaptive estimation based on the residual vectors, innovation vectors and correction vectors of kinematic state are analyzed. Then, the improved method of sage adaptive filtering is proposed in this paper.
     本文首先介绍了 Sage自适应滤波方法 ,分析了基于新息向量、残差向量和状态参数预报值改正向量的协方差自适应估计所存在的问题 ,提出了改进 Sage自适应滤波的新方法。
短句来源
     The shortcomings of covariance matrices by windowing the residual vectors,innovation vectors and correction vectors of kinematic state,are analyzed.
     分析了基于新息向量、残差向量和状态参数预报值残差向量的自适应协方差估计存在的问题。
短句来源
  “残差向量”译为未确定词的双语例句
     First of all, signal vector and signal matrix of Hilbert space are defined,and normalized residual vecrtors and partial correlation coefficient are described.
     首先,在Hilbert空间定义了信号向量和信号矩阵,描述了归一化残差向量和偏相关系数。
短句来源
     Except the parameter estimation (1), the other four items (2)~(5) all require that the variance-covariance matrix of the basic vector including the observations, the estimated parameters, the residuals and the adjustments of the observations are explicit and computable.
     除参数估计(1)外,其余四项内容都需要基本向量(包括观测量、参数估计量、残差向量以及观测量平差量)的方差协方差矩阵具有明显可计算的形式。
短句来源
     By contrast, BFDF method is of sim- ple structure, design the advantage such as being clear of the step, it is stupid and excellent that the incomplete difference vector quantity produced from BFDF has the stronger one to unknown introduction, to the carrying out device, the component and sensor trouble are all very sensitive, the vector quantity of incomplete difference has different directions to different troubles, the easy trou- ble is isolated.
     相比之下,BFDF方法具有结构简单,设计步骤明确等优点,由BFDF产生的残差向量对未知输入具有较强的鲁棒性,对执行器、元件和传感器故障都非常敏感,残差向量对不同的故障具有不同的方向,易于故障隔离。
短句来源
     By constructing a model of normal actuator,and comparing its analytic data with the output data of line displacement sensors,the actuator dispersion vectors are obtained,then the method of DTW is adopted to match the existent samples of fault for assuring and differentiating the fault.
     通过建立的作动器正常模型,其解析输出值与作动器末端线位移传感器输出值比较,获得残差向量,对该残差序列采用动态时间规整算法,与已知的故障样本进行匹配,进一步确认和定位故障。
短句来源
     For varions damage types,the displacement mode curvature mode and residual mode force vector were sensitive to damage ocation of the damage in a RCB,the absolute remaining difference vector(ARDV) enables to used to detect the local damages in a RCB.
     针对不同的损伤形式,位移模态振型、曲率模态振型和剩余模态力向量是对局部损伤位置敏感的振动特性参数,可以利用敏感参数的绝对残差向量进行局部损伤的定位辨识; 敏感参数绝对残差向量的范数与损伤程度具有良好的单调性关系,可以作为局部损伤定量辨识的指标。
短句来源
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  residual vector
This paper derives the complete Bahadur-type linear representation of the basic vector including the residual vector and the adjusted vector of the observations for the L1-norm estimation.
      
Two optimal adaptive factors are derived, one of which is deduced by requiring that the estimated covariance matrix of the predicted residual vector equals the corresponding theoretical one.
      
However with the exception of Gauss-Seidel iteration the residual vector ‖Axk-b‖ is of order ζ ‖A‖2 ‖A-1‖ ‖α‖ and hence the remaining three iterations arenot well-behaved.
      
In addition, through PCA we also obtained a time course of changes common to all wavelengths-the residual vector, corresponding to non-specific spectral changes due to preparation movement or mitochondrial swelling.
      
The scheme involves using the current residual vector to update the lower frequency limit during integration and to improve the accuracy of the converged solution.
      
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  residual vectors
The RNLAR is used to design primary residual vectors (PRV), which are highly sensitive to the faults and less sensitive to MPM and process disturbance, for sensor and actuator fault detection.
      
The PRVs are then transformed into a set of structured residual vectors (SRV) for fault isolation.
      
Considering different characteristics of the wave amplitude, a method of "non-identical weighted mean" is developed for computing the averaged observed residual and remaining residual vectors at each station.
      
The corresponding tangent stiffness matrices and residual vectors of the equations of motion are presented.
      
If? is the result of smoothingY in the least square sense, thenE can be split into two residual vectors:E=? - F - (? - Y).
      
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In this paper, the Householder orthogonal transform algorithm is used to solve the problems of power system state estimation. The orthogonal transform is directly conducted for the weighted Jacobi matrix and the weighted residual vector of the measurement equations by using the Householder transform matrix. This algorithm reduces the condition number of using normal equation algorithm, raises the numerical stabillty of the solution, and is fit to solve the state estimation problem of a power systems which operates...

In this paper, the Householder orthogonal transform algorithm is used to solve the problems of power system state estimation. The orthogonal transform is directly conducted for the weighted Jacobi matrix and the weighted residual vector of the measurement equations by using the Householder transform matrix. This algorithm reduces the condition number of using normal equation algorithm, raises the numerical stabillty of the solution, and is fit to solve the state estimation problem of a power systems which operates under a morbid condition.

本文提出用豪斯霍尔德正交变换算法,求解电力系统的状态估计问题。它是通过豪氏变换阵,直接对量测方程的加权雅可比矩阵和加权残差向量进行正交变换,降低了采用法方程算法的条件数,提高了解的数值稳定性,适合于求解运行在病态条件下的电力系统的状态估计问题。

The controlled random search method is used for solving constrained nonlinear optimization problems.In this method several search points in parameter space are yielded to produce a centroid,instead of a single estimate,in order to get the solution more closely approching the global minimum of the sophisticated multivariate functions.Any norm of residuals can be used as objective function.No derivatives are employed and no initial guess is required.The method discussed converges rapidly and stea-dily.So far as...

The controlled random search method is used for solving constrained nonlinear optimization problems.In this method several search points in parameter space are yielded to produce a centroid,instead of a single estimate,in order to get the solution more closely approching the global minimum of the sophisticated multivariate functions.Any norm of residuals can be used as objective function.No derivatives are employed and no initial guess is required.The method discussed converges rapidly and stea-dily.So far as anti-disturbance capacity and convergence rate are ccncerned,the CRS method is muchbetter than Marquardt method and can be applied to interpretate magnetic and gravity anomalies genera-ted by a 2-D or 3-D body as well as to the inversion of density discontinuity interface data.

解约束非线性最优化反演问题的控制随机搜索法(简称CRS法),是用参量空间多组估值的“重心”来取代常规最优化反演的单组估值,使解更接近复杂多元函数的全局极小点,CRS法可用异常残差向量的任意范数作目标函数,不需求导,也不需给定参量的初值,能使迭代快速稳定收敛。理论模型和实例表明,CRS法比Marquardt抗干扰能力强,收敛速度快。它可用于单个异常反演和物性界面反演,适用于二维、三维、地形起伏、观测面水平等情况。

A new RLS lattice filter, which is based on the normalized sliding window covariance(NSWC)algorithm,is presented. And with the help of the filter, a novel fault detector is constructed. First of all, signal vector and signal matrix of Hilbert space are defined,and normalized residual vecrtors and partial correlation coefficient are described. Then,theequations of the filter algorithm are derived by use of the orthogonal projection approach invector space. By testing whiteness of the forward or backward prediction...

A new RLS lattice filter, which is based on the normalized sliding window covariance(NSWC)algorithm,is presented. And with the help of the filter, a novel fault detector is constructed. First of all, signal vector and signal matrix of Hilbert space are defined,and normalized residual vecrtors and partial correlation coefficient are described. Then,theequations of the filter algorithm are derived by use of the orthogonal projection approach invector space. By testing whiteness of the forward or backward prediction error, real timefault detection is carried out. Finally, simulation example is given to justify the effectivenessof this fault detection methodology. Simulation results show the fault detctor has many advantages such as the monitored system mathmatical model unnecessary, less computationand lower probability of wrongly alarming.

基于归一化滑动窗协方差算法导出一种新的递推最小二乘格形滤波器,并用它构造了一种新颖的故障检测器。首先,在Hilbert空间定义了信号向量和信号矩阵,描述了归一化残差向量和偏相关系数。然后,用向量空间的正交投影方法推导了NSWC格形滤波器算法方程,并通过对前向残差或后向残差的白色性检验,实现了实时故障检测。最后,用仿真例验证了这种故障检测方法的有效性。仿真结果表明这种故障检测器具有无需被监视系统的数学模型,计算量小、误报警率低等优点。

 
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