查询词典 quaternion field

A novel direction of arrival and polarization estimation of electromagnetic vector sensors mounted on the airframe is proposed based on biquaternion. The signal processing model for EM-sensor mounted on the airframe is made by biquaternion and then the eigenvalue decomposition of spectral matrix is obtained by means of the EVD of its quaternion adjoint matrix. The memory requirement for data is reduced, and more accurate estimation result is gotten by deducing the stronger orthogonality constraint between the sin- gal and noise subspaces on the field of biquaternion. The performance of the new algorithm is confirmed through numerical examples.

针对机载电磁矢量传感器阵列DOA和极化参数估计问题，提出了一种基于复四元数估计方法，该算法利用四元数建立机载电磁矢量传感器阵列信号处理模型，然后利用四元数联合矩阵的特征分解得到阵列数据相关矩阵的特征分解，一方面使得计算过程中数据的贮存量大大减少，另一方面通过推导得到信号子空间和噪声子空间在四元数域上的正交性从而使DOA和极化参数佑计的精度更高，仿真证实了本算法的有效性。

The author generalized the results of the centralizer of matrix over complex number field to Real Quaternion field .

推广了数域上的矩阵中心化子理论，得到了实四元数体矩阵上的中心化子理论

In this note, we show that for any two matrices A and B over a generalized quaternion algebra defined on an arbitrary field F of characteristic not equal to two, if A and B are similar and the main diagonal elements of A and B are in F, then their traces are equal.

本文对于特征不是2的任意域F上定义的广义四元数代数上的两个矩阵A和B，给出如果A和B相似并且它们的主对角线上的元素在F中，那么它们的迹相等。

In this note, we show that for any two matrices $A$ and $B$ over a generalized quaternion algebra defined on an arbitrary field ${\bf F}$ of characteristic not equal to two, if $A$ and $B$ are similar and the main diagonal elements of $A$ and $B$ are in $\bf F$, then their traces are equal.

本文对于特征不是2的任意域${\bf F}$上定义的广义四元数代数上的两个矩阵$A$和$B$，给出如果$A$和$B$相似并且它们的主对角线上的元素在${\bf F}$中，那么它们的迹相等。

It is studied factorizing a matrix over quaternion field to the product of two self-conjugate matrices. And some useful results are obtained.

摘要研究了四元数矩阵分解为两个自共轭矩阵乘积，其中有一个是非奇异阵的条件，得到了一些有用的结果。

Quaternion field; matrix equation; structure-preserving algorithm; iterative method

四元数体；矩阵方程；保结构运算；迭代算法

This article discusses fix quantity connection between quaternion non-linearity continuous function △ERR_ and △ERR_ in the reference literature~([1]),and its decisive effect on distributing evolvement disperse drop field in the error ratio function ERR_(100nm%)λ_(centreT,n,thus paves the way for the function degree of redundancy of Pipelined-Flash A/D.

本文讨论参考文献[1]中两类四元非线性连续函数△ERRdn与△ERRdj之间的定量关系，对误差比率函数ERR100nm%离散点域分布演变所起的决定性作用。

The 5-D mothod was used in the optimum design of nonsymmetrical T-type passive filter. Results show that 5-D data field obtained provides direct decisionmaking supports in the global optimum solution of quaternion nonlinear equation, and for the robust analysis of the solution as well.

变频器用非对称T型无源滤波器优化设计的实践表明，在求此类4元非线性方程全局最优解及判别数值解的鲁棒性时，该方法所得到的五维数据场可提供直观的信息。

By comparing the matrix theory over number field,we mainly discussed the quaternion matrix norm theory,the quaternionic determinant,the complex number expression of the quaternion matrix and the quarternion linear matrix equation.

通过对比一般域上矩阵理论，本文主要从四元数矩阵范数理论、四元数矩阵行列式、四元数矩阵的复表示以及四元数线性方程组和线性矩阵方程四个方面阐述了四元数矩阵理论。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。