法国数学家傅里叶发现,任何周期函数都可以用正弦函数和余弦函数构成的无穷级数来表示(选择正弦函数与余弦函数作为基函数是因为它们是正交的),后世称傅里叶级数为一种特殊的三角级数,根据欧拉公式,三角函数又能化成指数形式,也称傅立叶级数为一种指数级数。
...822年法国数学家傅里叶(J.Fourier)首次提出并证明了将周期函数展开为正弦级数的原理,从而奠定了傅里叶级数(Fourier Progression,FP)与傅里叶变换(Fourier Transformation,FT)的理论基础。
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离散傅里叶级数 DFS ; [数] discrete Fourier series
多重傅里叶级数 [数] multiple fourier series
傅里叶级数展开 [数] fourier expansion ; Fourier series expansion
二重傅里叶级数 double fourier series
广义傅里叶级数 generalized fourier series ; generalized double Fourier series
复傅里叶级数 [数] complex Fourier series
连续时间傅里叶级数 CTFS
半幅傅里叶级数 Fourier half-rang series
离散时间傅里叶级数 Discrete-tine Fourier series ; DTFS
By Fourier series expansion of lightning current waveform in time-varying field, analytical formulations in frequency domain are derived.
通过对时变场中瞬态的雷电流波形进行傅里叶级数展开和周期延拓,得到了频域中的雷电电磁场的解析公式。
参考来源 - 基于网格计算的雷电电磁环境仿真·2,447,543篇论文数据,部分数据来源于NoteExpress
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。
In this paper, the pointwise convergence and divergence of a class of generalized Fourier series generated by piecewise linear spectral sequences are studied.
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。
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).
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;
It uses Fourier series in expanding calculus, to achieve the measuring and calculation of volt, current, power factor and quantity of electricity.
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