Absorption factor of every time is obtained at each frequency according to stratigraphic absorption characteristic, ahd each short-time Fourier transform coefficient is weighted by using the trace number. 然后根据地层吸收特点在每一个频率上分别提取每一个时间点的吸收因子,并用其道数加权每一个短时傅里叶变换系数;
The determination of the optimum number of truncated terms of Fourier expansion and numerical experiments 确定Fourier展开式最佳截断项数的探讨
The analysis of the fast Fourier transformation process is a method in calculating process of long-lost Fourier transformation, reducing the number of times at computer, with the result of increasing the handling speed of figures. 快速傅里叶变换(简称FFT)是在离散傅里叶的运算过程中,使在计算机上的运算次数减少,从而提高数字处理速度的一种方法。
A mathematical model for dendritic growth of steady-state in the temperature field is established, and the analytical solution is derived in the form of Fourier series from separation of variables in the complex number field. 建立了稳态胞晶生长温度场数学模型。
Although to seek the derivative by Hartley transform method is more sophisticated than that by Fourier transform method, in the computing, the former only compute the real number, and the latter compute the real part and imaginary part of complex number at the same time. 虽然Hartley变换法在求取导数时较Fourier变换法复杂,但由于Fourier变换法的计算同时涉及复数的实部与虚部,在计算速度和占用内存方面不如Hartley变换法。
In this method, three shell displacements are first expanded in Fourier series in the circumferential direction, then an infinite number of decoupled partial differential equations containing a spatial variable and a time variable are obtained. 壳体的三个位移函数首先沿环向展开为Fourier级数,由此得到解耦的偏微分方程,它包括一个空间变量和一个时间变量。
The temperature and velocity's distribution of the liquid film are programmed to gain along with the absorber's parameters 'variety with Fourier time, such as Sherwood number, solution concentration and absorption ratio. 编程分析了倾角不同时液膜内部温度、浓度分布特征,得出了吸收器传质舍伍德数、吸收浓度以及吸收量随傅立叶时间数的变化规律。
Because of the real number transform characteristic of Hartley transform comparing with Fourier transform, the signals and images in the real number area can be processed using Hartley transform instead of Fourier transform. 与Fourier变换相比,Hartley变换以其实值变换的特点,在实数域能够替代Fourier变换,进行信号和图像的处理。
With data errors the optimum number of truncated terms of Fourier expansion is determined. 本文用理论估计及数值实验两种方法研究了有限调和分析中考滤资料误差情况下如何确定Fourier展开式最佳截断项数的问题。
The technique builds the sound field separation formula in wave number domain according to the wave field extrapolation theorem, and the sound pressure caused by sources on one side of holographic plane can be obtained as expected by taking two-dimensional Fourier transform of the formula. 本文提出的声场分离技术利用波场的外推理论,建立起在波数域声场分离的公式,然后通过二维Fourier逆变换,便得到了全息面一侧声源产生的声压,从而达到声场分离的目的。
From Maxwell equations for free space and by converting the amplitudes in Fourier expansion of the vector potential into operators according to quantisation correspondence, this paper obtains Hamiltonian operator, which quantises the electromagnetic field, and introduces the number state representation for the field. 本文从真空中麦克斯韦方程组出发,通过把矢势的Fourier展开式中的振幅按照量子化对应化为算符,得到了哈密顿算符,从而实现了电磁场的量子化,同时给出了电磁场的数态描述。
In this paper, an improved AFT based on generalized Mobius inverse formula is used to compute DFT. This new method can extract directly the Fourier coefficients of DFT. We develop this process with the number theory method and extend the further discussion. 在广义Mobius变换的基础上,本文采用了一种改进的AFT来计算DFT,这种方法可以直接提取DFT的系数,且用数论的方法阐明了这一过程,并展开了进一步的讨论。
The harmonic components of diurnal changes in slab thickness are given by Fourier analysis. By the method of linear regressions, a weakly linear dependence of slab thickness with 12 month running mean values of sun-spot number is also obtained. 由付里叶分析和回归方法得出等效板厚日变化各谐波分量与太阳黑子数12个月滑动平均值之间存在弱的线性关系。
Ultra-Fast Fourier Transform Using Number Theoretic Transform 使用数论变换的超快速傅里叶变换
By means of Fourier transforms, the exact solution for the free-surface waves is expressed by an integral with a complex dispersion function, which explicitly shows that the wave dynamics is characterized by a Reynolds number and a Strouhal number. 通过Fourier变换,自由表面波的精确解表示为带复变色散函数的积分式,波动力学性质由Reynolds数和Strouhal数刻画。
Then the formal expression for the field continuation is obtained by the method of the Fourier transform, and the precise analytic formulas for the field continuation under a number of special non-homogeneous medium are given. 接着利用Fourier变换方法得到了场延拓的形式表达式,然后给出了几种特殊垂向非均匀介质下场延拓的精确解析公式。
In addition, in application of the potential field downward continuation of krylov subspace method, introducing fast Fourier transform algorithm is a very important step, or it will be limited by the large number of data. 另外,在位场向下延拓的krvlov子空间方法的算法实现上,快速傅里叶变换算法的引入是极为重要的一步,否则会受到数据量大的限制。
Studies on the number of the Fourier Descriptors which is necessary to the character construction and recognition also have been performed. 研究了实现压印字符重建所需要的Fourier描述子的个数。
For the single size bed, we get the relationship between wind speed and the friction velocity and Fourier nodes, and determine the value of the number of nodes. 在单一粒径下,得到了风速与摩阻速度和傅里叶节点数之间的关系,进而确定了节点数的取值。
Similar to the Fourier series, FrFS of a function will exhibit Gibbs oscillation near the discontinuities and boundaries, and the oscillation will not diminish as the number of terms in the fractional Fourier series is increased. 当利用分数阶傅里叶级数的系数直接进行信号重建时,在间断点和边界点附近也会出现类似于传统傅里叶级数中的那种Gibbs振荡现象,并且这种振荡并不会随着级数项数的增加而消失。