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1.
三维测量中一种新的自适应窗口傅里叶相位提取法   总被引:2,自引:1,他引:1  
王辰星  达飞鹏 《光学学报》2012,32(6):612005-106
针对多尺度窗口傅里叶变换中,窗口尺寸的自适应选取及提取基频时的频谱混叠等问题,提出基于希尔伯特-黄变换(HHT)的自适应窗口傅里叶相位提取法。对变形条纹信号进行HHT后,通过谱分析,自适应确定能够准确描述条纹信号变化情况的瞬时频率及条纹图的背景分量。根据所得的瞬时频率,给出自适应定位条纹信号局部平稳区域的步骤,进而确定窗口尺寸。不需额外计算,可有效去除背景分量以减少基频提取过程中零频频谱的干扰。与现有的用最大脊法确定窗口尺寸的方法相比,本方法不受被测相位必须线性逼近且变化缓慢的前提约束。实验证明本方法有效、可行,且对测量携带陡峭边缘或面形复杂的物体也能进行较为精确有效的测量。  相似文献   

2.
窗口傅里叶变换轮廓术中窗口尺度选取的改进   总被引:1,自引:0,他引:1  
多尺度窗口傅里叶变换法根据条纹信号的瞬时频率梯度来确定信号的局域平稳长度,再由局域平稳长度来控制窗口的尺度,即窗口的尺度和局域平稳长度成正比。使用多尺度窗口傅里叶变换法来使条纹信号的频谱局域化,可以在条纹信号的频率分辨率和空间分辨率之间达到一种较佳的调和。针对多尺度窗口傅里叶变换三维形貌测量技术中局域平稳长度提取算法的不足进行了改进,使窗口尺度的选取更具合理性,对变形光栅基频提取更精确,进一步减小了位相测量的误差。给出了理论分析、计算机模拟以及实验结果。  相似文献   

3.
应用二维高斯窗口傅里叶变换对全息图进行局部分析。首先定义二维窗口傅里叶变换,并从理论上证明通过二维高斯窗口傅里叶变换所获得的叠加频谱与傅里叶变换所获得的频谱是一致的。对菲涅尔全息图进行数值再现时,通过提取窗口区域内局部全息图的+1级频谱信息,并随着窗口中心在整幅全息图上逐点移动,将窗口傅里叶变换局部分析所获得的+1级频谱叠加求和,可有效地重构出与+1级衍射像相对应的完整频谱信息,在一定程度上改善了0级以及±1级衍射像所对应的不同频谱之间的串扰,提高了再现像的质量。  相似文献   

4.
《光学技术》2013,(4):331-338
S变换可以看作是介于小波变换与窗口傅里叶变换之间的变换,具有很强的时频分析能力,它将一维信号变换为时间(空间)和频率的函数,称为瞬时S变换谱,在沿窗口移动方向上,S变换谱的叠加可得到全局信号的傅里叶频谱。在S变换用于条纹解调时,局部基频的正确提取是确保获得全局信号基频分量的关键。为此研究了不同的滤波过程对S变换解调条纹相位的影响,利用不同的滤波器,在对局部S频谱进行加权滤波后,叠加局部基频,得到全局基频分布,然后再利用逆傅里叶变换获得条纹的相位分布,从而重建被测物体的面形。讨论了阈值滤波、平顶高斯和平顶汉宁滤波、"脊"线拟合后的平顶高斯和平顶汉宁滤波在S变换轮廓术中的应用,通过计算机模拟和实验,初步对比了滤波效果。  相似文献   

5.
从对傅里叶变换的局限性分析入手 ,揭示了窗口傅里叶变换、小波变换和分数傅里叶变换的出现是傅里叶变换本身发展的必然 ,阐明了其改进方法产生的原因及其优缺点 ,分析了其改进方法与傅里叶变化的关系 ,这些有助于加深对傅里叶变换的认识。  相似文献   

6.
介绍了一种傅里叶变换红外光谱仪扫描成像系统,并用该系统测量了放在平台上的3盏普通实验用酒精灯的火焰红外发射谱,选择位于大气窗口内的波数为900~1 000 cm-1波段,利用普朗克定律,反演出了每条光谱对应的相对温度。实验中每一个光谱对应一个扫描位置即像素点,把这些温度数据通过Mat-lab软件绘制出了扫描范围内的红外图像。将红外图像叠加在视频图像之上,两者吻合得非常好,清楚地显示了3个火焰的位置。  相似文献   

7.
为了检验红外光谱技术在食品安全上的判断能力,利用傅里叶变换红外光谱仪测试了未霉变黑木耳和霉变黑木耳样晶的红外光谱.对比它们的红外光谱,两者在羟基和氨基叠加吸收峰、脂类物质吸收峰的频率位置上有较大差异,分别相差23.31和13.42 cm<'-1>.对羟基和氨基的叠加吸收带进行曲线拟合,发现霉变前后羟基和氨基的比例发生较...  相似文献   

8.
李兴龙  李峰  赵冉  孙平 《光子学报》2014,43(9):912008
为减少噪音对散斑相位图的影响,提出了一种无阈值的窗口傅里叶变换滤波方法.通过对窗口内条纹频率幅值扫描,寻找条纹频率幅值的最大值作为滤波标准,得到最佳滤波图像,缩短了计算时间,解决了窗口傅里叶变换滤波中需要设定阈值的问题.在无阈值窗口傅里叶变换滤波算法基础上,对散斑条纹图像进行了滤波,证明了该算法的可行性和良好的滤波效果,可用于各类条纹图像的低通滤波.  相似文献   

9.
小波变换在载频条纹相位分析法中的应用研究   总被引:14,自引:8,他引:6  
翁嘉文  钟金钢 《光学学报》2005,25(4):54-459
为了克服在非平稳信号分析中傅里叶变换的全局性缺陷,以及窗口傅里叶分析的单一分辨率和伸缩窗口傅里叶分析的尺度不确定性问题,采用伽博解析小波变换技术对空间载频光栅条纹进行相位分析,有效地提取出相对于载频条纹基频的完整相位信息,从本质上解决了上述问题。以三维轮廓术为例,与傅里叶分析进行了对比研究,给出了小波分析应用在空间载频条纹相位分析中详细而完整的理论推导证明、计算机模拟以及实验验证结果。  相似文献   

10.
基于S变换的改进窗口傅里叶三维测量法   总被引:2,自引:0,他引:2  
董富强  达飞鹏  黄昊 《光学学报》2012,32(5):512008-126
讨论了一维S变换在处理条纹图中的应用,推导了S变换表达式,提出一种基于S变换脊的自适应窗口傅里叶三维测量法。利用S变换对于频率的敏感性以及S变换脊思想,求得任意点的瞬时频率。推导了在相位跳变剧烈区域相位二阶导φ″(b)对S变换脊的影响,并求得去除此影响后更为准确的瞬时频率。然后将瞬时频率倒数作为经典窗口傅里叶变换(WFT)的窗口大小,解出条纹图的精确相位。最后对去除相位二阶导影响前后基于S脊的WFT进行对比仿真;实验验证其与传统基于小波脊的WFT在抗噪声、解相位精度上的优势。  相似文献   

11.
We demonstrate fully phase-matched high harmonic emission spanning the water window spectral region important for nano- and bioimaging and a breadth of materials and molecular dynamics studies. We also generate the broadest bright coherent bandwidth (≈300 eV) to date from any light source, small or large, that is consistent with a single subfemtosecond burst. The harmonic photon flux at 0.5 keV is 103 higher than demonstrated previously. This work extends bright, spatially coherent, attosecond pulses into the soft x-ray region for the first time.  相似文献   

12.
采用正弦微窗光栅的位移传感器   总被引:2,自引:0,他引:2  
研制了一种新型的光栅位移传感器,它采用了一种被作者称为正弦微窗光栅的新元件作为指示光栅,用于消除光栅信号中的高次谐波,所为正弦微穿光栅是一种由许多微小的正弦穿孔排列组成的光栅。介绍了采用光学图形发生器和刻蚀镀膜工艺制造这种光栅的方法。并将制成的正弦微穿光栅用于光栅位移传感器的设计。实验表明,新型传感器能够很好地抑制光栅信号中的高次谐波,可将高次谐波总旧降至基波的2%以下。  相似文献   

13.
The windowed Fourier transform is a useful technique for fringe pattern analysis. It has been shown that the proper selection of the window size is a balance between the linear phase approximation error and the influence of noise [Q. Kemao, On widow size selection in windowed Fourier ridges algorithm. Opt Lasers Eng, 2007, accepted for publication]. Since the fringe intensity and noise level usually vary spatially, the window size should also be spatially adaptive in order to reach a good balance for each pixel of the fringe pattern. This addendum first shows that the windowed Fourier transform with a spatially fixed window size (SFWS) is still practically useful and then discusses the window size competition strategies for the windowed Fourier transform with a spatially adaptive window size (SAWS). The windowed Fourier transform with a SAWS is theoretically better than that with a SFWS but it is also more challenging in use. The windowed Fourier ridges algorithm is used for analysis throughout this paper. This analysis is also applicable to the windowed Fourier filtering algorithm.  相似文献   

14.
Generation of infrared radiation in ts-infrared transmission window (6.8–7.7 µm) is reported for the first time by non-collinear difference-frequency mixing of the Nd: YAG second harmonic and the same-pumped dye (Rh-610) laser radiation in a lithium-iodate crystal. The spectrum of polythene sheets was run with the generated radiation.  相似文献   

15.
汪祥莉  王斌  王文波  喻敏  王震  常毓禅 《物理学报》2015,64(10):100201-100201
针对混沌干扰背景下多个谐波信号的提取问题, 提出了一种基于同步挤压小波变换(SST)的谐波信号抽取方法. 首先利用SST将混沌信号和谐波信号组成的混合信号分解为不同的内蕴模态类函数, 然后利用Hilbert变换对分离出的内蕴模态类函数进行频率识别, 从中分离出各谐波信号. 以Duffing混沌背景为例, 对混沌干扰下多谐波信号的提取进行了实验分析. 实验结果表明: 对于不同频率间隔的多个谐波分量, 本文方法的提取结果都具有较高的精度, 而且所提方法对高斯白噪声的干扰具有较好的鲁棒性, 综合提取效果优于经典的经验模态分解方法.  相似文献   

16.
A nonlinear mechanical oscillator is forced with two incommensurate harmonic signals and chaotic vibrations are experimentally observed. The fractal nature of this strange attractor in four-dimensional phase space is revealed by using a double Poincaré section. This section involves a narrow timing pulse on one harmonic driving signal and a wider phase window on the other forcing harmonic signal. The resulting two-dimensional map shows a Cantor set structure characteristic of strange attractors. The transition from quasi-periodic to chaotic vibrations is also observed.  相似文献   

17.
The windowed Fourier ridges (WFR) algorithm can be used to extract the frequency and phase information from an exponential or carrier fringe pattern. The selection of the window size for this algorithm is investigated in this paper. For exponential phase fringe patterns, the window size does not need to be adjusted according to the signal frequency. Hence the scaling strategy of the wavelet transform is not necessary. Instead, the window size should be selected according to the balance between the linear phase approximation error and the noise level. For carrier fringe patterns, the influence of the conjugate component should also be considered. However it can be ignored when the lowest frequency of the fringe pattern is higher than 1.5/σ (σ is used to represent the window size).  相似文献   

18.
Ciocca and Darwin [V. Ciocca and C. J. Darwin, J. Acoust. Soc. Am. 105, 2421-2430 (1999)] reported that the shift in residue pitch caused by mistuning a single harmonic (the fourth out of the first 12) was the same when the mistuned harmonic was presented after the remainder of the complex as when it was simultaneous, even though subjects were asked to ignore the pure-tone percept. The present study tried to replicate this result, and investigated the role of the presence of the nominally mistuned harmonic in the matching sound. Subjects adjusted a "matching" sound so that its pitch equaled that of a subsequent 90-ms complex tone (12 harmonics of a 155-Hz F0), whose mistuned (+/-3%) third harmonic was presented either simultaneously with or after the remaining harmonics. In experiment 1, the matching sound was a harmonic complex whose third harmonic was either present or absent. In experiments 2A and 2B, the target and matching sound had nonoverlapping spectra. Pitch shifts were reduced both when the mistuned component was nonsimultaneous, and when the third harmonic was absent in the matching sound. The results indicate a shorter than originally estimated time window for obligatory integration of nonsimultaneous components into a virtual pitch.  相似文献   

19.
一类相空间中的准几率分布函数系   总被引:3,自引:0,他引:3       下载免费PDF全文
袁通全 《物理学报》2006,55(10):5014-5017
定义了一类相空间中的准几率分布函数系,这个准几率分布函数系直接建立在具有更加广泛意义的量子相空间Schr?dinger方程解的基础之上,其中定义α=αp-i?q和α=(1-α)q+i?p.发现了两个有趣的关系.(1)建立的量子相空间Schr?dinger方程的解实际上是对函数φ(λ)exp[i(1-α)qp]做窗口Fourier变换.(2)这个窗口函数g(λ)起着选择窗口形式的作用,而且不同的窗口对应着不同的分布函数.当g(λ)是一个代表Gauss窗的Gauss函数的时候,准几率分布函数就是一个类似于Husimi的分布函数fHLα(q,p);当g(λ)是一个表示椭圆的复函数时,准几率分布函数就是一个椭圆分布函数fEα(q,p);再在g(λ)为复函数的基础上附加α=0,就可得到标准序分布函数fS(q,p)、反标准序分布函数fAS(q,p)和Wigner分布函数fW(q,p),此时g(λ)表示高度为1/12π?而长度为λ的矩形窗. 关键词: 窗口Fourier变换 相空间 Wigner分布函数  相似文献   

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