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1·It is proved that the substitituon mapping is a proper Fourier integral operator with generalized hypoellipticity.

证明了变量替换映射是一个具广义亚椭园性的适的富里叶积分算子。

2·The series density formulae of the binary phase grating are obtained from the general complex amplitude transmittance formulae through Fourier integral.

它直接从位相物体振幅透过率的一般公式出发，运用傅里叶积分，求得二进制位相光栅各级衍射光强度的通式。

3·This paper discusses the application methods on solving frequency function and sets examples, in the two integral characters of time domain on Fourier conversion.

该文讨论傅氏变换中的二个时域积分特性，在求解频谱函数中的应用方法，并举例予以说明。

4·The author has discussed two integral transforms for 2.5-D transient electromagnetic forward modeling, namely, inverse Fourier transform and inverse Laplace transform.

这里讨论了瞬变电磁法2.5维正演模拟中的两个积分变换：傅里叶逆变换和拉普拉斯逆变换。

5·A proper integral filter is designed to parallel with the Fourier system Thus the influence of DC offset on impedance calculation is cancelled.

傅里叶系统并联一个适当的积分滤波器以后可以消除非周期分量对阻抗计算的影响。

6·By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of displacements across the crack surfaces.

首先利用付里叶变换，使问题的求解转换成对一对变量为裂纹面上位移差的对偶积分方程的求解。

7·Mathematical representations for three kinds of reconstruction algorithms (Fresnel integral, convolution and Fourier transform) of digital hologram are deduced based on the diffraction theory.

在衍射理论基础上详细推导了三种再现算法(菲涅耳积分变换法、卷积法、傅立叶变换法)的数学表示。

8·The fast Fourier transform (FFT) will bring on higher error under nonsynchronous sampling and truncated non-integral period, thus more accurate interharmonic parameter values cannot be obtained.

快速傅里叶变换在非同步采样和非整数周期截断的情况下存在较大误差，无法获得较精确的间谐波参数值。

9·The atomic algorithm performs decoding process using Fourier transformation only once and the integral Fourier transformation works without floating operation.

“原子”解码算法只通过一次傅氏变换即完成解码；而整数傅氏变换避免了傅氏变换中最耗时的浮点运算。