1) duality transformation
双重性变换
2) double Fourier transform
双重Fourier变换
1.
Based on Biot s theory for fluid-saturated porous media,the 3-D Biot s wave equations in rectangular coordinate for transversely isotropic saturated poroelastic media are transformed into the l-order governing differential equations by means of the double Fourier transform method with respect to horizontal coordinates.
首先引入状态向量,将直角坐标系下横观各向同性饱和土的Biot波动方程转化为一组状态方程,然后基于双重Fourier变换,求解了状态方程,得到传递矩阵。
2.
Based on Biot s theory for fluid-saturated porous media,the 3-D Biot s consolidation equations in rectangular coordinate for transversely isotropic saturated poroelastic media are transformed into a group of 1-order governing different equations by means of the Laplace transform and double Fourier transform with respect to the time and horizontal coordinates respectively.
首先引入状态向量,在直角坐标系下推导出横观各向同性饱和地基Biot固结问题的状态方程,然后基于Laplace变化和双重Fourier变换,求解了状态方程,得到传递矩阵,进而利用传递矩阵,并结合饱和地基的边界条件、排水条件及层间接触和连续条件,求解了层状横观各向同性饱和地基的Biot固结问题。
3.
The theoretical solutions of vertical displacement of the pavement are derived using the double Fourier transform,and the solutions can be degenerated to the corresponding classical solution of static problem.
又将此荷载模式看成是作用在Kelvin地基上无限大路面板表面的移动矩形荷载,采用双重Fourier变换方法得到了不平整无限大路面板竖向位移的积分形式解,此解析解可以退化为静荷载作用下的经典解答。
3) dual transform domains
双重变换域
1.
Semi-fragile watermarking algorithm in dual transform domains;
一种双重变换域图像半脆弱水印算法
4) bilinear transform
双线性变换
1.
The classical method for the digital Butterworth filter design is to work out corresponding analog filter first,then obtain the digital Butterworth filter from the bilinear transform,therefore the traditional method relies on the analog filter,and cannot obtain the zeros-poles plot equal filter.
设计数字式巴特沃斯滤波器的传统方法是先设计好相应的模拟滤波器,再经过双线性变换得到数字式巴特沃斯滤波器,因此必须依赖于模拟滤波器,同时无法得到零极点数量不相等的滤波器。
2.
In order to make the digital filter to maintain the frequency characteristic of the original analog filter,a expression for the prewarping is derived according to the definition of the bilinear transform,and a low-pass Butterworth digital filter is designed.
针对数字信号处理中数字滤波器的性能问题,为使数字滤波器保持原模拟滤波器的频率特性,根据双线性变换的定义,导出了一个预畸变的统一表示式。
3.
Using the bilinear transform can make it into a real diagonal matrix and rank one matrix.
多项式的友矩阵相似于一个对角矩阵与秩1矩阵的和,利用双线性变换将其变为一个实对角矩阵与秩1矩阵,对这类矩阵可以采用一种快速的QR迭代法求出其特征值,再通过双线性变换的逆变换就可以求出多项式方程的根。
5) Bilinear transformation
双线性变换
1.
A method on construction of real time seismic waveform emulation filter with bilinear transformation;
使用双线性变换构造实时地震波形仿真滤波器的方法研究
2.
Based on the WVD, this method analyzes MPSK signals on the time-frequency (two-dimension) surface to estimate and trace carrier frequency instantaneously and abstract base-band signals via bilinear transformation analysis.
该方法基于信号的时频分布,在时频二维平面上对MPSK信号进行分析,用双线性变换提取基带相位信息,并且实时估计和跟踪载波频率,从而实现MPSK信号识别解调。
3.
This paper introduces LLR design method by bilinear transformation,and discusses the realization of LLR.
本文提出了一种用双线性变换法设计无损耗电阻器的方法 ,并对无损耗电阻器的实现与控制进行了论述。
6) double Fourier transforms
双重傅立叶变换
1.
The motion equation of beam was solved by using double Fourier transforms.
针对具有弹性基础的无限梁在移动的振动质量激励下的响应问题,采用考虑剪切变形和转动惯量的铁木辛柯梁理论建立梁的微分方程,并利用双重傅立叶变换求解,得到梁的运动方程。
补充资料：双重
1.两层﹔两方面。多用于抽象事物。
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