方向余弦

基于ESPRIT的思想，采用并行TLS矩阵束方法实现对目标信号的方向余弦的估计和自动配对，从而实现二维波达估计。

Based on ESPRIT technique , parallel matrix pencil method is devised to accurately estimate and automatically pair the direction cosines , then direction of arrival is determined .

化学位移张量也可以利用其主轴分量及主轴与晶体坐标系的方向余弦来表示。

The orientation of chemical shielding tensor can be expressed with direction cosines of its principal axis system .

在粗对准阶段，由惯性仪表的测量信息解析计算惯测组合坐标系到数学平台系的角位置关系，建立初始方向余弦矩阵Cn′b；

In the rough alignment stage , the original quaternion matrix was calculated by the output of inertial measure unit .

方向余弦矩阵[C（ij）]的一阶微分与角速度矩阵的关系

The Relationship of [ C_ ( ij ) ] Matrix with Angular Velocity Matrix

利用三轴MEMS加速度计和三轴MEMS陀螺数据，由方向余弦矩阵的姿态表示形式推导了扩展Kalman滤波方程，解算出飞行器的俯仰角和横滚角；

The data from 3-axis MEMS accelerators and 3-axis MEMS gyros is used to determine the pitch angle and the roll angle of the air vehicle using an extended Kalman filter ( EKF ) equation deduced from the direction cosine matrix .

采用硬件描述语言VHDL设计了专用于方向余弦阵计算的集成电路，可用于对激光陀螺或挠性陀螺输出的脉冲信号或脉宽调制信号进行方向余弦阵计算。输入脉冲频率最高可达1MHz；

An ASIC for calculation of direction-cosine matrix which is changed with the signals , pulses or PWM form RLG or flexible gyro is designed by means of VHDL .

采用D-H后置法建立了4R机器人运动方程，建立机器人执行机构在空间相对位置关系的数学模型，由此可解出手部位置和用单位矢量方向余弦表示的姿态。

A kinematics model by post D-H method for4R-robot was offered in this paper , which derived the manipulator finger position and its attitude with unit vectors of direction cosine .

从控制角度综评方向余弦、欧拉角、四元数和Rodrigues/修正Rodrigues参数几种常用姿态描述动态方程，指出各种方法的优缺点，及相互转化。

Several common description methods for rotational kinematics are discussed in control point , such as direction cosine matrix , Euler angles , quaternions and Rodrigues / Modified-Rodrigues parameters . Transformation relationships , advantages and disadvantages among those methods are discussed .

空间曲面方向余弦的等参单元确定法

The Isoparametric Computation of the Direction Cosines of Spatial Curved Surface

建立机器人位移方程和方向余弦方程的迭代法

Iterative method founding displacement equations and direction cosine equations of robot

应用方向余弦的刀具半径补偿转接矢量算法

Algorithm of transfer vector for tool semidiameter compensation base on direction cosine

求解捷联式方向余弦矩阵的一种新方法

A new method for calculating strapdown direction cosine matrix

方向余弦矩阵的解析正交化

Analytic Orthogonalization of Direction Cosine Matrix

基于方向余弦参量的物坐标系与世界坐标系间的坐标变换

Coordinate Transformation Based on Direction Cosine Parameters between the Object Coordinate System and the Word Coordinate System

常用的姿态描述参数主要有欧拉角，修正罗德里格斯参数，方向余弦，四元数等。

The common attitude parameters are Euler angles , modified Rodriguez parameters , direction cosines , and quaternions and so on .

分别介绍了欧拉角法、方向余弦法、四元数法和等效旋转矢量法的解算原理和步骤。

Introduce the principium and method of Euler angle algorithm , direction cosine algorithm , Quaternion algorithm , and Rotation Vector algorithm .

利用3个方向余弦估值进行配对，然后求得来波的方位角和仰角估计。

Using the direction cosines relative to three ULA axes , the correct pair is obtained , then the azimuth and elevation are estimated .

以方向余弦法来确定被测体的角位移，建立其角位移数学模型。

The angle displacement of tested body is confirmed with the method of direction cosine , the mathematical model of angle displacement is established .

这种序贯处理结构有助于方向余弦继承位置测量更新带来的性能改善，从而减小其估计误差。

This sequential process structure can inherit in the direction cosines a performance improvement from updating position measurements and thus reduce its estimation error .

利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；

The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra .

在导航算法方面，采用方向余弦矩阵法进行姿态解算，建立导航坐标系到机体坐标系的方向余弦矩阵，并推导出方向余弦矩阵的微分方程。

And the differential equation of coordinate transformation matrix is derived through the establishment of the direction cosine matrix from navigation coordinate frame to aircraft-body coordinate frame .

本文通过对四元数矩阵求导的方法，首先推得四元数参数的运动学方程，再依据几种参数间的同构关系，即很方便地直接得到了方向余弦和凯里-克莱茵参数的运动学方程。

The kinematical equations for the direction cosine parameters and for the Cay-ley-Klein parameters are derived by means of the isomorphic relation between the several kinds of parameters .

介绍了四元数法在惯性测量中的应用，研究了方向余弦矩阵的计算方法，并引入等效旋转矢量对圆锥误差进行了分析。

We simply introduce the application of quaternion numbers in inertial measurement , research the calculation of direction cosine array and introduce equal rotating vector to analyze cone error .

其中声压水听器阵可以被划分为2个子阵，它们构成旋转对，旋转因子为包含某一轴方向余弦信息的相位延迟因子。

The pressure hydrophone array manifold can be divided into two subarray manifolds , which constitute a rotation pair , and the rotational invariant factors comprise the source 's direction cosine .

它们的空间方位分别用方向余弦和欧拉四元数表示；对每种单元选择适当的形函数描述单元的基本弹性模态。

The azimuths of the elements are described by direction cosine and Euler quaternion , respectively . The shape function of the element is selected to describe the basic elastic mode .

采用余弦矩阵的优点是：第一，与欧拉角不同，方向余弦矩阵不会有任何有代表性的奇异位形。

The two reasons for using the directional cosine matrix to represent the orientation are : first , unlik the Euler angles , such a matrix has no any representative singularities ;

应用球面三角法和方向余弦矩阵法分别推导出双轴陀螺平台的支架误差公式，发现由这两种方法推导出来的公式计算结果是一致的。

Methods of spherical trigonometry and direction cosine matrix were applied respectively to derive the bracket error , and the two methods had the same error formula and the same calculation results .

文中应用旋转矩阵导出各方向余弦的递推公式.并根据坐标变换不变量的概念，求出各坐标轴单位矢量的混合积。

The recursive formulas of direction cosines are derived by using the rotation matrixes and the triple products of cartesian unit vectors are calculated by using the concept of invariant of coordinate transformation .

通过建立正确的动力学坐标系，以方向余弦矩阵为工具，成功地解决了三叉杆式联轴器中输出轴的受力问题；

By choosing some right kinetic coordinates and using the direction cosine matrices as the major mathematical tools , the kinetic problems of the output shaft about the tripod universal joint are resolved successfully .

本文提出利用位置矢量的三个方向余弦，称为三余弦数或三元数，代替经纬度，推导出无奇异再入质心运动方程。

The direction cosines of the vehicle 's position vector , called three-cosine or ` trinion ' , are presented to replace latitude and longitude to derive the singularity free equations of re-entry translational motion .