1) 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。
2) Fourier transformation
Fourier变换
1.
Reconstruction formulas and range of the normalized windowed Fourier transformation;
规范窗口Fourier变换的反演公式及其值域刻画
2.
Fourier Transformation and Vinogradov Inequality of C-algebras;
C-代数上的Fourier变换和C-代数上的Vinogradov不等式(英文)
3.
Information-hiding technolgy based on FOURIER transformational domain;
基于Fourier变换域的信息隐藏技术
3) fourier transform
Fourier变换
1.
Wavelet analysis and Fourier transform;
Fourier变换与小波分析
2.
Fourier transform based on MATLAB symbolic operation;
基于MATLAB符号运算的Fourier变换
3.
Generalization of a theorem about analytic function of Fourier transforms;
Fourier变换解析函数一个定理的推广
4) Fourier-Mellin transform
Fourier-Mellin变换
1.
An image mosaic method based on Fourier-Mellin transform is presented for large scale electronic testing surveillance.
针对大规模电子化考场监控,提出基于Fourier-Mellin变换的宽视场图像合成技术。
2.
A novel method of fingerprint identification based on the features extracted from the integrated discrete wavelet and the Fourier-Mellin transform(DWFMT) was proposed.
采用离散小波变换进行小波分解指纹图像后对局部边缘进行平滑,从而减少指纹图像关于形状扭曲的敏感性,而Fourier-Mellin变换产生平移、旋转和伸缩的非变异特征。
5) Fourier transform
Fourier 变换
1.
This paper proposes an coutour line interpolation about field images based on Fourier transform.
本文基于 Fourier 变换提出了场图像的等高线插值法,使场图像恢复为帧图像。
2.
The popularigation form of the Fourier transform product theory is given in this paper.
本文给出 Fourier 变换乘积定理的推广形式,该结果对数学分析中某些难解决甚至不能解决的问题,提出一种新的求解方法。
3.
The theoretical solutions of the vertical displacement of CRCP under single moving load are obtained by using the trigonometric series and Fourier transform,and the superposition method is used to obtain the analytical solutions of CRCP under tandem-axle,dual-wheel a.
首先应用三角级数及 Fourier 变换方法得到了单轮荷载作用下路面竖向位移的表达式,在 Fourier 变换域内利用叠加原理分别得到了前后双轮荷载和平行双轮荷载作用下路面竖向位移的解析解答,并在此基础上推导出了连续配筋混凝土路面上受四轮重载车辆作用时轮载附近位移的稳态响应表达式,同时利用数值积分方法得到了数值结果。
6) Dlifford-Fourier transform
Clifford-Fourier变换
补充资料:Fourier-Stieltjes变换
Fourier-Stieltjes变换
Fourier-Stieltjes transform
F侧rier,S翻扣变换【F皿血r~S血为。。,洲俪加;。yp‘e-CT,月T‘eea npeo6pa3o.a。。el 与f饭时度变换(Founer tiansform)有关的一种积分变换(加e罗刁tra、扔而).令函数F在〔一的,+的)上有有界变分.函数 价‘·,一友也一‘一“F。,(·)称为F的F既的er一St记1勾巴变换(Fb山交r一Stiel甘estl习nsform).由积分(*)确定的函数势是有界且连续的.每个可展为绝对收敛的Fo~级数艺撼气。‘。‘的周期函数甲能写成积分(*),其中F(x)=艺。、,气.公式(*)是可逆的:如果F有有界变分且 各,、F(x+0)+F(x一0、 F(劝-一. 2那么 、。)一、(。)一,粤一了,(;)一全共己:. ‘’、‘寸2“生r‘”讨 x‘(一的,+田),其中积分取为在①的主值. 如果只允许公式(*)中的F是非减的有界变差函数,那么如此获得的连续函数势的集合完全由下面性质刻画:对任一实数组t,,…,气, .,买1,(‘,一。,);:乙妻。,其中省1,…,心。是任意复数(Dx加℃r一x阳绷定理(Bo-d川Cr一K坛nch的t卜”记nl)).这样的函数称为正定的(p“itiVe defi山te).Fo~一StieUes变换被广泛地应用在概率论中,其中非减函数 p(x,一宕F‘·,满足附加的限制lizn二_一。尸(x)=0,lim二_+。p(x)二l,而且尸是左连续的;它称为分布(distribution),而 ,“,一丁““’dp‘,,称为(分布尸的)特征函数(chamcte山tic fLtnctjon).于是Rx加℃r一为明咖H定理给出一个连续函数功(满足中(0)=l)是某个分布的特征函数的充要条件. Founer一Stiel勾eS变换在。维情形也已得到发展.
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