1) Fourier integral transform
Fourier积分变换
1.
Exact solution of multilayer elastic plane in a rectangular coordinate system is obtained on the basis of Fourier integral transformation and stiffness matrix method.
从平面弹性力学的基本方程出发,利用Fourier积分变换等数学手段,推导出了单层平面问题的刚度矩阵,然后按有限元法组成总体刚度矩阵。
2.
Meanwhile, the theoretical model is reduced to the second kind Cauchy-type singular integral equations by means of the Fourier integral transform,the boundary conditions and the interfacial continuous conditions.
使用Fourier积分变换,应用脱层界面的连续条件和电极表面的边界条件将问题归为第2类Cauchy型奇异积分方程组。
2) Fourier integral transformation
Fourier积分变换
1.
In this paper,The fundamental solution of a class of reaction diffusion equation is derived by means of Fourier integral transformation of generalized function.
应用广义函数的 Fourier积分变换导出一类反应扩散方程的基本解 ,在此基础上得到边界积分方程 ,消除了边界元计算中边界积分方程的区域积分项。
2.
It is notable that the antithesis nature of the fourier integral transformation is applied to the study,and a new convergent integral——integral from n=0 to +∞((sinx/x)~2dx)=π/2 comes out.
对积分Ι=integral from n=0 to +∞((sinx/x)dx)=π/2的计算方法进行深入研究,从多种渠道得出这一结果,值得注意的是本文应用了Fourier积分变换的对偶性质,巧妙而不失优美地给出了一个新方法,同时还得到一个新的收敛积分:integral from n=0 to +∞((sinx/x)~2dx)=π/2。
3.
By the Fourier integral transformation of the generalized function, the fundamental solution for the bending problem of plates on two-parameters foundation is derived in this paper.
应用广义函数的Fourier积分变换导出了双参数地基上板弯曲问题的基本解,它可用复变量的Hankle函数表示。
3) fractional Fourier transform
分数Fourier变换
1.
Here the article introduces the definition and the properties of fractional Fourier transform as well as the physical meaning of transforming image.
分数Fourier变换是对经典Fourier变换的改进,在处理非平稳信号时效果明显,且具有很好的可重构性。
2.
A newly adaptive noise reduction method based on fractional Fourier transform is presented,the core of which is the different correlativity of different signals in the field of fractional Fourier transform.
提出了一种新的基于分数Fourier变换的自适应信号降噪方法,该方法的核心是利用不同信号在分数Fourier域具有不同的相关性,从而由信号本身得到自适应的滤波器。
4) fractional Fourier transform(FRFT)
分数阶Fourier变换
1.
The fractional Fourier transform(FRFT) is applied to synchronization acquisition and Pattern Time Delay Shift Coding scheme to mitigate the influence caused by Doppler.
将分数阶Fourier变换(FRFT)应用于水声通信同步检测及Pattern时延差编码(PDS)水声通信体制,可减小多普勒频偏的影响。
2.
The fractional Fourier transform(FRFT),which is a version of generalized common Fourier transform(FFT) can overcome the incomplete of FFT in feature extraction of fault signal.
论述了分数阶Fourier变换的定义、特点和算法,并进行实验研究。
3.
In order to eliminate the interference of cross-terms during time-frequency analysis on multicomponent LFM signals,a new PWD(peudo Wigner distribution)in fractional Fourier transform(FRFT)domain is proposed.
针对雷达回波为多分量LFM信号时,时频分析存在的交叉项干扰问题,提出了一种基于分数阶Fourier变换(Fractional Fourier Transform,FRFT)的伪Wigner分布(PWD)。
5) fractional Fourier transform
分数阶Fourier变换
1.
Real-value encryption of digital image utilizing fractional Fourier transform;
基于分数阶Fourier变换的数字图像实值加密方法
2.
Underwater acoustic channel parameter estimation based on fractional Fourier transforms;
基于分数阶Fourier变换的水声信道参数估计
3.
Research on the Application of Fractional Fourier Transform in Extraction of Partial Discharge;
分数阶Fourier变换在局部放电信号提取中的应用研究
6) FRFT
分数阶Fourier变换
1.
Research of lowing the PAPR of OFDM system based on FRFT;
降低基于分数阶Fourier变换的OFDM系统PAPR的研究
2.
Improved Method Based on FrFT for Spaceborne SAR Moving-Target Detection;
一种基于分数阶Fourier变换的改进星载SAR动目标检测方法
3.
A new reconstruction algorithm was proposed,which uses fractional Fourier transform(FRFT) instead of DFT to implement the range compression.
然后针对高速目标回波是调频斜率相同的多分量LFM信号的特点,提出了基于分数阶Fourier变换的距离压缩处理方法,并讨论了最优旋转角估计的问题。
补充资料：积分变换
| 积分变换 integral transform 通过参变量积分将一个已知函数变为另一个函数。已给f（x），如果  存在（a、b可为无穷），则称F（s）为f（x）以K（s，x）为核的积分变换。积分变换无论在数学理论或其应用中都是一种非常有用的工具。最重要的积分变换有傅里叶变换、拉普拉斯变换。由于不同应用的需要，还有其他一些积分变换，其中应用较为广泛的有梅林变换和汉克尔变换，它们都可通过傅里叶变换或拉普拉斯变换转化而来。 |
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参考词条