1) hypercomplex correlation
超复数互相关
1.
Firstly, fast algorithms of hypercomplex Fourier transform and hypercomplex correlation are proposed in this dissertation, which calculate each part Fourier transform respectively with FFT algorithm by separat.
首先,本论文在研究彩色图像超复数整体处理理论的基础上,提出了一种快速计算超复数傅氏变换和超复数互相关的新算法,它把超复数按实部和各个虚部展开,分别进行传统的快速傅氏变换计算,再把对应的单位虚向量还原,从而实现了超复数傅氏变换和超复数互相关的快速求解。
3) cross correlation function
互相关函数
1.
Taking the template image and the sub-image of target image as non-correlation random process,the cross correlation function is described as the inner-relation of two random .
在图像的检测中应用随机过程的互相关性,对织物纬档的检测进行了研究,分析了互相关函数值与2幅图像相似性的关系。
2.
A frequency domain poly reference modal identification method under operational conditions was presented on the basis of the cross correlation function of measured responses to solve the only output problem.
针对工程实际情况 ,从实测响应间的互相关函数入手 ,推导出适用于工作状态下的频域多参考点模态识别法 ,然后采用一飞机模型对该方法进行了试验验证。
3.
A theory of cross correlation functions is developed in this paper that the cross correlation functions can be expressed as summations of decaying sinusoids as the impulse response functions under white noise excitation.
对互相关函数理论的进一步发展作了详细推导 ,探索出一条将互相关函数理论同多种经典模态分析方法相结合进行环境激励下模态分析的方法。
4) cross-correlation function
互相关函数
1.
A power spectrum analysis and analytical cross-correlation function(ACCF) were applied to obtain the group delay time cased by coatings and coating density and thus an ultrasonic NDT system was built up for evaluating layered materials.
该方法考虑超声波在涂层中传播时,不同界面的回波信号相互叠加并发生多重反射的传播特性,运用功率谱分析及互相关函数分析方法,提出了由涂层引起的群速度延迟时间及涂层密度的求解方法,建立了适于涂层材料评价的超声无损检测系统。
2.
On the one hand,cross-correlation function is used for time-delay identification;Fast Fourier Transform and its inverse transform are applied to improve the computational efficiency.
该算法一方面采用互相关函数来辨识滞后时间,并引进了快速傅里叶变换及其反变换,提高了计算效率;另一方面,在变参数增量估计递推最小二乘算法估计时变参数的基础上,引入误差级序列,改善了时变参数的辨识精度。
3.
In the proposed method, the sound arrival time difference between different microphone pairs is analyzed by measuring the cross-correlation function of the received signals,and the direction angles of the sound source related to three axes can he easily derived according to the time dif.
该方法在直角坐标轴上放置4个麦克风,声源到达麦克风对之间的时间差可以由测量接收信号的互相关函数得到。
5) correlation function
互相关函数
1.
An optimized approach for single-hole method of shear wave velocity measurement based on correlation functions;
基于互相关函数的单孔法波速测试优化算法
2.
Applications of correlation function in shear-velocity measurement of single-hole method;
互相关函数在单孔法剪切波速测量中的应用
3.
With the correlation function of the signal as the measure, the transform relationship between the two images was optimized by means of an artificial neural network.
方法将一种新的信号处理的概念引入配准过程,以两组具有时延特性的随机信号分别描述待配准的两幅医学图像的边缘特性,继而提出一种以信号互相关函数为性能指标,通过利用神经网络的泛化能力对轮廓特征点样本进行训练以得到最优变换参数的头部断层扫描图像自动配准算法。
6) mutual correlation coefficient
互相关系数
1.
In this article,the abilities of variance and mutual correlation coefficient absolute value to distinguish cutting chatter are studied.
文章采用仿真研究方法,对方差和互相关系数绝对值对机床切削颤振是否发生的判别能力进行了系统的研究,发现它们都不宜单独作为判别函数,提出了以方差和互相关系数绝对值作为综合判据判别切削颤振是否发生的观点。
补充资料:超复数
超复数
hypercomplex nmber
超复数工h”曰议即沙x Ilunlb叮;r,。ep,o。。月eKeooe,。-e月。} 实数域R上含有单位元的有限维代数(从前称为超复系(hy详阴mPlexs那tem))中的元素.历史上,超复数是作为复数的推广而提出的(见复数(co宜IPlexn山司比r)).复数的运算对应于平面的几何变换(平移,旋转,放大,及其上述运算的合成).人们试图在三维空间中构造出对应于复数在平面中所起的作用那样的数来,后来明白,完全类似是不可能的.这就促使超复数系的发展. 秩。的超复系是通过在n维实空间R”中引人满足域上代数公理的乘法得到的.令1是超复系U的单位元,1,i,,…,i。_、是R”的某个基.U的超复数 “=ao一a 1 11一“’一a、王、称为 以=内长孟声i+~.十a乒丙的共扼超复数(conj叫势teh刃咒叨功plexn切mb汀).设u‘2)={u,+uZe},这里u,,uZ“U,仑为一新记号·集合U(2)通过定义加法 (ul+。Ze)+(v;+vZe)=(u;+vl)+(u:+vZ)e和乘法 (ul+。Ze)(vl+vZe)=(u,v,一瓦uZ)+(姚u汁u风)e成为一个超复系.称超复系U(2)为U的加倍(dou-b】ing). 超复系的例子有:实数、复数、四元数、Q少y数(以上每个均是其前面一个的加倍,见四元数(quaternlon),Oy卿数((b少yn山卫be招)).其他例子包括二重数和对偶数(由ubk是叨ldd瑙赴numbers),以及形如 2月一, A一a。’+属ay‘下的超复系,当。一4时就是Cliffo司一U脚面忱攀(Cli-而记几ipsdlitZ nL皿be巧)(这些超复数是秩为2”的Cl油[o川代数(〔1而月司今为扭)中的元素).R上完全矩阵代数是超复系统中一个重要例子. 超复数系统定义可以要求乘法结合律,亦有人把代数与超复系概念等同起来.
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条