傅里叶系数

傅里叶系数公式推导的一个注记

A Comment on the Deduction of Fourier Coefficient Formula

本文研究X射线衍射仪的各种工作条件对干涉线纹的重心位置、均方宽度和傅里叶系数的影响，得出了普遍的公式。

In this article general formulas are derived which account for the influence of X-ray geometry , the nonideal adjustment of goniometer and the parameters of recording system on the centre of gravity , on the mean-square width and on the Fourier coefficients of the line profile .

论证表明，通过对电桥的可调参数任意调节两次，由两次调节所形成的误差电压的傅里叶系数即可完全确定电桥平衡的参数，得到被测阻抗Zx的值。

It has shown that the balancing parameters in AC bridge can be obtained by means of the Fourier coefficients of the error voltage , which is produced by arbitrarily adjusting the bridge two times , i. e.

基于高阶近似核和傅里叶系数内插的快速频率估计算法

Fast Frequency Estimation Algorithm Using High Order Approximations to Kernel Function and Interpolation on Fourier Coefficients

分析了从傅里叶系数或真实线形分离晶粒尺寸和微观应变的可靠性；

The reliability of the separation of size-and strain-broadening from Fourier coefficients or deconvoluted profile is estimated .

若正交函数为复指数集，其系数正好是傅里叶系数。

The coefficients are Fourier coefficients to the moment when the orthogonal functions are complex exponential functions .

应用勒让德多项式的加法定理和类似于求傅里叶系数的方法，导出了新展式中系数的普遍表达式。

The method , which we use to derive the general expressions for the new coefficients in the development of gravity anomaly Ag ( m , a ), is analogous to Fourier 's.

利用傅里叶系数计算封闭曲线的形状特征，建立了实测与仿真地面功图曲线形状特征间的欧氏距离。

Shape characteristics of the closed boundary curve are extracted through these computed Fourier series ' coefficients . The Euclidean distance between shape characteristics of measured surface dynamometer card and that of simulated card is established and is employed as objective function for optimization .

文章分析了平面封闭边界运动和傅里叶描述系数的变化关系，提出了基于边界傅里叶描述子和Hough变换检测平面封闭边界的运动，并通过计算机仿真证明该方法的可行性。

Through analysis of relation between boundary motion and variance of Fourier transform coefficient , Motion detection of planar closed boundary using Fourier descriptors and Hough transform is proposed in the paper . computer simulation results show that the methods is feasible and effective .

局部傅里叶变换系数各阶矩的纹理鉴别性能分析

Analysis on Texture Discrimination Performance of Moments of Local Fourier Transform Coefficients

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；

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 .

利用琼斯理论对该综合器进行了理论分析，根据扩展傅里叶级数系数正向对比法，实现了其他类型的周期性时域波形。

Analysis in time domain based on Jones matrix theory is given for the synthesizer . The algorithm comparing of Fourier series coefficients in positive-direction is used to design the synthesizer producing other types of periodical waveforms in time domain .

为了克服这种现象的消极影响，近年来出现了很多针对有限次傅里叶级数展开系数的信号重建方法，并取得很好的效果。

Recently , to overcome the negative impact of the Gibbs phenomenon , many effective methods have been proposed to recover the original signal using the coefficients of the finite Fourier series expansions .

以电力系统日负荷曲线为例，应用傅里叶组数进行仿真，并提出用线性化回归方法求取傅里叶级数系数的新算法。

In this paper , with the daily load chart of a power system used as an example of the simulation method based on Fourier series , a new algorithm is given to decide Fourier coefficients by linearization regression .

流函数和温度分布采用傅里叶级数的形式，以联立求解二维流动的控制方程组，傅里叶级数项的系数由一维常微分方程的解得到。

The full stream function and energy equations for two-dimensional flow are solved simultaneously using truncated Fourier series for both the stream function and the temperature . The coefficients in the Fourier series were determined by solving one-dimensional ordinary differential equations .

在傅里叶模式展开理论的基础上，从横向剪切干涉获得的差分波前，通过最小二乘拟合，可以计算出待测波前的傅里叶变换系数，重建出原始波前。

By using Fourier expansion , the Fourier coefficients of two-dimensional wavefront are computed from two one-dimensional difference wavefronts which are acquired by shearing interferometer .