查询词典 quaternion

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 least norm solutions of symmetric and skew antisymmetric matrix equations (A~TXA, XA — YAD)=(D, 0)are also considered. 3. The least-squares solutions and the least norm solutions of the quaternion matrix equations AX = B and XD = E are studied by using

借助四元数的复表示方法，研究四元数矩阵方程组AX=B，XD=E的最小二乘问题和极小范数解的问题，并对主子阵约束下的方程组的解进行了讨论，得到了它们的显式表示。

Can be very convenient to realize from the arithmetic expression Quaternion-based translation, courses in compiler design principle very useful.

详细说明：可很方便的实现从算术表达式到四元式的翻译，在编译原理的课程设计中非常有用。

Quaternion matrix, singular value decomposition, CS decomposition,canonical angle.

由于四元数矩阵乘法运算的复杂性，利用【n，12}的方法很难求出具体的奇异值分解式来。

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

This paper first elaborated the principle of SINS, some interrelated information,and the affect of renewed arithmetic to the system"s precision. Then, we studied thequaternion in traditional renewed attitude arithmetic. The quaternion is simple, andwhen run it into computer, it"s time saving. So, this arithmetic is often adopted byengineering. However, the quaternion brought unexchangeable error inevitably. Whenthe carrying body moves in highly dynamic situation, the error would become larger.So we should take effective measure to get over it.

本文首先论述了捷联式惯性导航系统的工作原理及相关知识，捷联惯导系统姿态更新算法对系统精度的影响；其次研究了传统的姿态更新算法中四元数法，该算法简单，计算量小，因而在工程中经常被采用，但是在四元数法中不可避免的引入了不可交换性误差，特别是在载体处于高动态环境时，这种误差就会很大，必须采取有效措施加以克服。

We give different kinds of iterative methods of some quaternion matrix equations,and using structure-preserving property for complexification operator of the quaternion matrices,which analysis and character the convergence of various algorithms.

给出了若干类四元数矩阵方程的多种迭代算法，并利用四元数矩阵复表示运算的性质与保结构特性，分析和刻画了各种算法的收敛性。

The numerical calculations of quaternion matrices The quaternionic quantum mechanics is a new coming disciplines of physics, because of noncommutation of quaternions, some numerical calculation methods of quaternion and quaterinon matrices are complicated and tedious.

四元数矩阵的数值计算问题四元数量子力学是近十几年来才发展起来的一门新兴的物理学科，由于四元数乘法的不可交换性，使得四元数量子力学中的四元数数学理论基础，特别是有关四元数问题的数值计算方法很不完备。

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 conjugation by a unit quaternion (a quaternion of absolute value 1) with real part cos is a rotation by an angle 2''t'', the axis of the rotation being the direction of the imaginary part.

单位四元数（绝对值为1的四元数）若实部为 cos，它的共轭作用是一个角度为2''t''的转动，转轴为虚部的方向。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。