For periodic waveforms, the Fourier series representations are valid over all time.

对于周期波形，傅立叶级数表示法在整个时间段都是有效的。

Rayleigh reflectance can be approximated using Fourier series relevant to angles and wavelength.

其中，瑞利反射率可以用与角度和波长有关的傅立叶级数近似。

Such series (e. g., the Fourier series) are particularly useful in solving differential equations.

有的级数(如傅立叶级数)用来解微分方程序特别有用。

A periodic function, finite Fourier series, is used to activate the actuator for obtaining training samples.

用周期函数，有限项傅立叶级数，作为激励函数来获取训练样本。

Further, by double FOURIER series expansion and intricate derivation, strict output analytic solution is acquired.

针对模型，通过双fourier级数展开和繁琐的数学推导，求得了输出电压的严格解析表达式。

With a view to the periodicity of human gait, experimental data maybe expressed in the form of the Fourier series.

考虑到人体步态的周期性，步态实验的数据可以表示成富里哀级数的形式。

The Fourier series are also used for dealing with the problem of the sectional continuous load along radial direction.

还用富里叶级数处理沿径向分段连续荷载的问题。

In order to analyzing digital signals with the aid of computers, it is necessary to use Fourier Series of discrete form.

为在计算机上做傅里叶级数的分解，需要对连续信号进行抽样，然后按离散傅里叶级数进行分解。

The application of the Fourier series with supplementary terms ensures that the arbitrary boundary conditions can be satisfied.

应用带补充项的富氏级数法是为了满足任意的边界条件。

This paper presents the fold line approximation method of discrete Fourier Series, and conducts calculation formula of harmonics.

提出了计算离散傅氏级数的折线逼近法，并导出了其幅值计算式。

Using Fourier series, the frequency spectrum analysis was analyzed, and spectrum data of harmony wave less than 19 were calculated.

利用傅里叶级数对其进行了频谱分析，计算了次数小于19次的各次谐波电流均方根值的频谱数据。

By using variables separation in the complex number field, the real analytical solution in the form of Fourier series was obtained.

在复数域内利用分离变量法，得到了这类方程的级数形式的解析解，而最后的解是实数形式。

In the implementation of the normalized total gravity gradient by Bieriozkin, the Fourier series summation technique has been adopted.

别廖兹金在实现重力规格化总梯度时采用了傅氏级数求和法。

The spectrum characteristics of the phase truncation error and amplitude quantization error are analyzed by the method of Fourier series.

介绍了直接数字频率合成技术以及分析其杂散误差，对相位截断误差和幅度量化误差进行了傅立叶级数分析研究。

The solution is obtained through a direct solution procedure with the axial modal displacements represented as Fourier series expressions.

轴向模态位移用福里哀级数表示，通过直接解法获得解析解。

In this paper by using the property of Fourier series a compound series consisting of trigonometric series and power series is established.

摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。

To intuitively understand the dynamic behavior of the array, a simplified phase continuum model was proposed and solved via Fourier series.

为了深入研究阵列的动力学行为，提出了一种简化的阵列相位连续模型并通过傅立叶级数法求得了解。

Based on SPWM basic principle and Fourier series theory, the mathematical model of output waveform of SPWM voltage source inverter is built.

根据SPWM的基本原理与付立叶级数理论，建立了SPWM电压型逆变器输出波形的数学模型。

In this paper, a current control algorithm using Fourier series coefficients is proposed. This algorithm can minimize torque ripple obviously.

文中提出应用傅立叶级数系数的电流控制算法，能明显减少转矩波动。

How does jitter frequency reduce EMI from the viewpoint of fourier series theory and the transient electromagnetic field theory is investigated.

从傅氏级数及空间交变电磁场的角度对采用抖频技术如何来减小EMI进行了分析。

The Fourier series of load is given by using generalized step function and the displacement formula of the longitudinal shear problem is derived.

应用广义阶梯函数来表示载荷，然后再将其展开成傅立叶级数形式，推导出纵向剪切问题的位移计算公式。

It uses Fourier series in expanding calculus, to achieve the measuring and calculation of volt, current, power factor and quantity of electricity.

采用傅里叶级数展开计算法、实现对电压、电流、功率因数和电量的测量和计算；

If the floor were infinite in extent, the mathematical distribution of reflected light could be regarded in terms of a two-dimensional Fourier series.

如果地板的广度是无限的，那么可以用一个二维傅里叶级数来表示反射光的数学分布。

The governing equations are solved by means of a generalized Fourier series method, and subsequently the corresponding load deflection curves are obtained.

通过一个广义的傅里叶级数方法求解的控制方程，并随后得到相应的载荷挠度曲线。

In this paper, the pointwise convergence and divergence of a class of generalized Fourier series generated by piecewise linear spectral sequences are studied.

研究由分段线性谱序列生成的广义傅里叶级数的逐点敛散性。

Therefore it becomes possible to use double Fourier Series to solve the problems of bending, buckling and free vibration of rectangular plates with free edges.

从而可用重三角级数解带有自由边的矩形板的弯曲、稳定和自由振动问题。

This paper describes the need to transform the continuous periodic signal in time domain to the discrete signal in frequency domain by using Fourier Series (FS).

讨论了利用傅里叶级数把连续周期时域信号转换成离散的频域信号的必要性。

The results show that Fourier Series Smoothing method is not only an efficient method, but also is easy to estimate image quality using modulation transfer function.

试验结果表明：付立叶级数滤波法是一种行之有效的方法，并便利于用调制传递函数评价影象质量。

According to the desired accuracy, we determine the number of terms in the Fourier series and Legendre polynomials, then the Practical simplified formulae are obtained.

根据计算精度要求，确定福里哀级数和勒让德多项式的项数，从而得到实用简化公式。