Shielded Effect in the Generalized Fourier Transform and Integral Property of the Image Function 广义Fourier变换中的屏蔽效应与象函数积分性质
Integral Property of a Type of Frequency Signals in the Generalized Fourier Transform 一类频率信号在广义Fourier变换下的积分特性
Generalized Mobius transform and arithmetic Fourier transform 广义M(o¨)bius变换和算术Fourier变换
Fractional Fourier Transform ( shortened as FRT) is the generalized Fourier Transform. 分数傅立叶变换(FractionalFouriertransform&简称FRT)是更广义的傅立叶变换。
In 1980, Namias introduced the theory of fractional power of Fourier transform, a generalized Fourier transform, called FrFT ( Fractional Fourier transform), which is a new Time-Frequency analysis tool. Fourier变换的分数幂理论最早由Namias于1980年建立,他将这种推广的Fourier变换称为FrFF。FrFF是一种新的信号时频分析工具。
Based on the scattering parameter representation of the generalized N-port adaptor, the frequency domain equation of the filter is first established. Then, the complex interpolation and the Discrete Fourier Transform technique are utilized to find the transfer function of the filter. 该方法根据一般化N-端口适配器的散射矩阵建立滤波器的频域方程,然后利用复数插值和离散富里叶变换技术求得滤波器的传递函数。
So far, there exist many types of fractional Fourier transforms such as the standard Chirp-type fractional Fourier transform, the standard Weighted-type fractional Fourier transform, the generalized Chirp-type fractional Fourier transform, the generalized Weighted-type fractional Fourier transform and so on. 迄今为止,有关研究人员已经研究出了多种类型的分数傅立叶变换,例如标准Chirp类分数傅立叶变换,标准加权类分数傅立叶变换,广义Chirp类分数傅立叶变换,广义加权类分数傅立叶变换等等。
A compact and simple sample system would be designed by DSP for further practice. The designing method not only can be applied to the FFTS, but also can be generalized to conventional Fourier transform spectrometer. 该设计方法可以用DSP技术实现简单、紧凑型的采样系统,不仅可提高FFTS的信噪比,还可以推广到传统的傅里叶光谱仪中。
At the same time, the linear canonical transform ( LCT) is the generalized form of Fourier transform and the fractional Fourier transform, it can be considered as a general linear transform. 而线性正则变换(LCT)是Fourier变换(FT)、分数阶Fourier变换(FRFT)的进一步推广,是更一般形式的变换。
Analysis on Generalized Measuring Range of Fourier Transform Profilometry 傅立叶变换轮廓术测量范围的普适讨论
In order to overcome this limitation, people have proposed the generalized form of Fourier transform: the fractional Fourier transformation. 为了克服这种局限性,人们提出了分数阶傅里叶变换,分数阶傅里叶变换很好地表征了不同时间和不同频率之间的对应关系。
There are generalized S transform computation efficiency is greatly improved, which is the generalized S-transform and Fourier transform directly linked to the characteristics of the decision. 还有广义的S变换的计算的效率大大提高了,这与广义的S变换和傅里叶变换直接相联系的特性决定的。
At the same time not only has the generalized S-transform of multi-scale focus, but also directly correspond to the various frequency components, this is it with the Fourier transform, short time Fourier transform and wavelet transform the fundamental difference. 同时广义的S变换不但具有多尺度聚焦性,还直接和各频率分量相对应,这也是它与傅里叶变换、短时傅里叶变换以及小波变换的根本区别。