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This paper extends the definition of fractional Fourier transform (FRFT) proposed by Namias V by using other orthonormal bases for L^2(R) instead of Hermite-Gaussian functions. The new orthonormal basis is gained indirectly from multiresolution analysis and orthonormal wavelets. The so defined FRFT is called wavelets-fractional Fourier transform. 相似文献
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本文给出DFT与FFT的一种变形——加权DFT和加权FFT及其有关性质,使方法误差得到改善,在一定误差范围内减少了样点的选取,从而加快了计算速度。尔后附带指出该方法在波谱分析、脉象研究等实际领域中的应用。 相似文献
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作者曾在英国自然界发表渠所建立之棋式X光综合新法之大意。一时引起欧美同行兴趣及讨论。其中有表兴趣者,有对此新法是否比通用之符礼式综合法更为有用致疑。本文即将新旧二法应用於自然及理想晶体。比较其结果之优劣。此外并对新法之三种数学特性加以介绍。 相似文献
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傅里叶自重卷积解谱技术中一种新的变迹函数 总被引:1,自引:0,他引:1
傅里叶自重卷积解谱技术可以有效地提高实验谱的分辨率,然而解谱后的信噪比明显下降。本文提出一种新的变迹函数(动态变迹函数),它可以在提高分辨率的同时使信噪比基本保持不变,用它来处理由软X射线弯品谱仪得到的Fe的Lα和Lβ实验谱线获得了十分满意的结果,解谱后得到了Lα和Lβ之间的许多短波伴线,跟理论计算值符合很符合。 相似文献
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一.引言 在许多工程问题中,如整流,接焊,电视等等,周期性的非正弦函数如电流或电压时时出现,如果这些电压和电流是由傅里叶级数的形式表出,则因为这类问题中的电压或电流中的谐波丰富而各谐波的递减又相当慢,所以如果要对这些 相似文献
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ANALYSIS OF THE MULTIPLE-SOLUTION RESPONSE OF A FLEXIBLE ROTOR SUPPORTED ON NON-LINEAR SQUEEZE FILM DAMPERS 总被引:3,自引:0,他引:3
The multiple-solution response of rotors supported on squeeze film dampers is a typical non-linear phenomenon. The behaviour of the multiple-solution response in a flexible rotor supported on two identical squeeze film dampers with centralizing springs is studied by three methods: synchronous circular centred-orbit motion solution, numerical integration method and slow acceleration method using the assumption of a short bearing and cavitated oil film; the differences of computational results obtained by the three different methods are compared in this paper. It is shown that there are three basic forms for the multiple-solution response in the flexible rotor system supported on the squeeze film dampers, which are the resonant, isolated bifurcation and swallowtail bifurcation multiple solutions. In the multiple-solution speed regions, the rotor motion may be subsynchronous, super-subsynchronous, almost-periodic and even chaotic, besides synchronous circular centred, even if the gravity effect is not considered. The assumption of synchronous circular centred-orbit motion for the journal and rotor around the static deflection line can be used only in some special cases; the steady state numerical integration method is very useful, but time consuming. Using the slow acceleration method, not only can the multiple-solution speed regions be detected, but also the non-synchronous response regions. 相似文献
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本文主要讨论运用傅立叶变换方法计算热中子散射律RSLT-1程序的特点以及用于实际慢化剂的计算结果分析。 相似文献
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干涉光谱仪动镜倾斜误差容限分析 总被引:13,自引:8,他引:5
本文从调制度和相位误差角度,系统分析了双光束干涉光谱仪中,当光束孔径为圆形和矩形时,动镜运动过程中发生倾斜的影响,讨论了动镜倾斜容限以及减小动镜倾斜误差的方法. 相似文献