EFPI光纤传感器腔长解调方法研究

研究了非本征型法布里-珀罗干涉(EFPI)光纤传感器系统的传感原理和腔长解调方法,考虑到EFPI传感器的腔长解调精度会直接影响到传感系统的稳定性和测量精确性,提出了一种新的基于傅里叶变换的腔长解调方法。该方法利用傅里叶变换的频移性,有效地消除了快速傅里叶变换的栅栏效应,提高了傅里叶变换的精度。理论和实践证明,相比传统的快速傅里叶变换方法,这种利用傅里叶变换频移特性的方法的解调精度至少提高10倍。     

基于MCSA的异步电机测速系统研究

在满足实时测速的前提下,直接对电机定子电流使用离散傅里叶变换,会带来频谱分辨率差、能量泄漏等问题,从而不能准确获取电机转速信息.为此,提出一种结合快速傅里叶变换、加窗函数、频谱细分和信号识别的综合算法.即将经过调理采样之后的信号加上布莱克曼窗或者凯塞窗,再对其进行复调制高分辨率的快速傅里叶变换,最后有效获取转子信号频率并求出电机速度.实验结果表明,本测速系统测量时间较短且具有较高的测量精度.     

基于离散频谱校正的差分吸收光谱数据处理方法研究

差分吸收光谱法(DOAS)常利用傅里叶变换滤波法来滤除光谱数据中的噪声, 但因其频率分辨率的限制,致其幅值误差较大,从而影响气体的测量精度。提出了一种离散频谱校正的差分吸收光谱数据处理方法,利用离散频谱主瓣内的谱线重心求出峰值的坐标,对幅值误差进行补偿,提高气体的测量精度。对不同浓度的SO2气体进行了浓度反演实验,结果表明:频谱校正法的反演误差小于5%,相对于传统的最小二乘法和傅里叶变换滤波法误差分别减少0.36%和0.88%;在谱线漂移两个采样间隔为0.28nm时,传统最小二乘法的平均误差为31.8%,频谱校正法的最大误差则为3.8%,效果明显优于前者。     

M周期分数傅里叶变换的光栅信号去噪方法

用矩阵方法离散地实现了任意M周期的分数傅里叶变换(FRFT),它可实现变换级次及周期的自由选择。根据相应的噪声频谱,选取适当的级次及周期,可使FRFT构造一个极窄的带阻滤波器,将其中心频率对准相应噪声的窄谱,便可滤除与理想信号频谱重叠部分的噪声分量,同时保持信号分量。在实验中,用矩阵方法实现的FRFT对所测光栅信号进行了去噪处理,并与传统的傅里叶与小波分析去噪方法进行了对比,结果表明,只要选取适当的级次和周期(α=0.545,Μ=5)就可获得理想的去噪效果。     

基于全相位FFT的油套环空中声速计算方法

油套环空中会产生各种噪声,使测得的接箍反射信号非常复杂,环隙中真实的声速则很难计算准确,可通过对原始接箍数据进行傅里叶变换的方法对声速进行估计,但是存在不可忽视的误差。全相位傅里叶变换是傅里叶变换的一种改进方法,能够获得更加准确的频率谱与相位谱。文章采用全相位快速傅里叶变换（all-phase Fast Fourier Transform,apFFT）得到原始接箍信号的频谱,然后通过该频谱进一步计算环隙声速,可得到更加准确的声速估计。通过对不同信噪比下的模拟接箍信号采用快速傅里叶变换（Fast Fourier Transform,FFT）和全相位快速傅里叶变换（apFFT）得到其频谱,可以验证apFFT具有很强的抑制频谱泄漏的能力,且抗噪性能比FFT更好。根据FFT谱和apFFT谱分别计算出声速并对比其精度,可以验证通过apFFT谱计算出的声速稳定性更好、精度更高。然后采用上述两种方法对不同深度井的实测接箍数据进行频谱分析与对比,验证了apFFT较之于FFT对谱峰位置的辨识能力更强,根据谱峰位置计算声速的准确性也将更高。     

基2快速傅里叶变换引入的不确定度估算

信号处理算法的不确定度研究是一个崭新的课题，快速傅里叶变换是一种基本的数字信号处理工具。通过分析基2快速傅里叶变换原理，分析了快速傅里叶变换的不确定度来源。以理论分析和数学推导方式研究了各主要不确定度分量，因此具有数学上的严格性。其中，将相关的栅栏效应和加窗截断引入的不确定度分量综合考虑，避开了分量之间的相关性。     

关于用matlab实现傅里叶变换的探讨

基于matlab强大的数值计算功能,借助快速傅里叶变换,建立一个函数的快速傅里叶变换和逆变换的模型,并进行运行和分析,实现快速傅里叶变换在信号处理方面的强大而简捷的功能。傅里叶分析就是我们测量出复杂波形,然后寻求确定其中有哪些频率成分。确定一个已知波形的频谱的过程。快速傅里叶变换是一种计算机算法,它从计算机采集到的数据中计算频谱。用快速傅里叶分析可以把复杂信号分解成简谐信号之和,看到信号的本质。     

一种基于相位匹配的高精度估计正弦信号频率新方法

为高效估计出正弦信号频率,从离散傅里叶变换定义式出发,总结出其本质是利用相位匹配原理使信号矢量序列求和最大.据此推导出任意频段的离散傅里叶变换计算方法,该方法可实现信号频率的高精度估计.推导出相应的变换矩阵,分析了该方法的各种特点,最后进行了仿真验证.     

计算非周期信号频谱的一种新方法

本文介绍了基于离散哈脱莱变换与离散付里叶变换关系，计算非周期信号的频谱的方法。该方法比利用离散付里叶变换大多数算法能减少运算量，提高运算速度。     

基于FFT算法的轧钢机振动故障诊断系统

大型机械设备的正常运行的重要性逐渐被大家所认识,基于FFT频谱分析与频谱图显示的原理对轧钢机的振动信号分析,FFT是计算离散傅里叶变换的一种重要的计算公式,频域分析的编程中以FFT算法为基础,在对时域波形进行采样后,经过FFT处理离散数据,最终得到相关量的频谱图,经过频谱分析后,提出机械零部件出现故障时的信号特征,并成功诊断故障所在。     

Speckle photography fringe analysis by the Walsh transform

Two-dimensional Walsh spectral analysis is presented as a new method of numerically processing the Young's fringes diffraction pattern from a double-exposure speckle photograph. The Walsh spectrum of the fringes is more complex than the Fourier spectrum but can be interpreted reliably by further cross correlation of the fringes with square waves. Compared with Fourier spectral analysis, the new technique gives results of almost identical accuracy but with substantially reduced computational effort. The ideas presented have relevance to the general problem of detecting and accurately determining the frequency components of a 2-D sinusoid in the presence of noise.     

调制FFT及其在离散频谱校正技术中的应用

提出了一种调制快速傅立叶变换(FFT),通过时域调制对实信号进行移频,打破频域内的对称性,再进行传统的FFT.该算法克服了直接进行FFT计算结果有一半冗余的缺点.将频率分辨率提高了一倍.提高了频率定位的精确度,从而减小了最大的幅值和相位误差,并进一步提高了抗噪性能.以比值校正法和相位差法为例,将调制FFT应用到离散频谱校正技术中,解决了基于FFT的离散频谱校正方法由于噪声影响而出现的一些问题,进一步提高了校正精度和抗噪性能.理论分析和Monte Carlo计算机模拟实验验证了上述结论的正确性.     

Strain analysis by mismatch moire method and grid method using Fourier transform

We have formerly presented a new method of the moire analysis of strain using the Fourier transform. It uses the phase information of the moire fringe brightness. By shifting the Fourier spectrum of the image of deformed grating lines, we obtain the complex moire pattern. Strain distribution is given as the derivatives of the phases of the complex moire fringes. The analysis is completely automated by digital image processing. All of the laborious and subjective procedures required in the conventional analysis such as fringe sign determination, fringe ordering and fringe interpolation are thus eliminated, and objective, fast and accurate analysis can be made.In this paper, we develop the method to a mismatch method and a grid method. We show some applications for analyzing strain distribution by using this method.     

空间结构三维风时程模拟及其小波分析

基于谐波叠加法和快速傅里叶变换提出改进方法,用于大跨空间结构的三维相关风速时程模拟。风速功率谱被分解为频率谱函数和相干函数;研究表明在空间三个方向上模拟风速功率谱皆收敛于目标风谱。小波分析在时域和频域上同时具有良好局部化特性。使用小波技术对模拟的风速时程进行时频分析,利用离散小波变换分解和重构风速时程,用小波系数描述风速信号特性。采用最大熵值法减少风速时程分析在时频域上的信息损失并提高效率。计算显示,改进方法速度快、精度高,弥补了传统手段模拟空间结构三维风速时程耗时冗长、精度低的缺陷,小波分析在风速时程分析中具有理想的可靠性和保真性。     

Accurate phase-added stereogram to improve the coherent stereogram

We propose an "accurate" phase-added stereogram, which can be defined as an improved phase-added stereogram. Generally, the macroblock size transformed by the fast Fourier transform is the same as the segmentation size of the phase-added stereogram. However, the proposed method uses a lager macroblock size than does the conventional method to reduce quantization error in discrete spatial frequencies in the spatial frequency domain. Therefore, even when the fast Fourier transform is used for calculation, the quality of the reconstructed image can be improved to be as clear as the Fresnel hologram.     

静态光谱分析检测及其软件实现

 在激光光谱分析中静态干涉法比传统机械扫描的稳定性好、实时性高,因此设计了一种基于静态傅里叶干涉具空间扫描型光谱分析算法,并在Visual Studio平台下采用C#编写了光谱分析软件.实验采用532，660，780，850，980 nm的多种激光器,经斜楔角度0.1°的静态傅里叶干涉具,得到干涉条纹,由CameraLink公司的M2CL型线阵CCD探测器采集干涉条纹,经光谱分析算法得到光谱信息.通过将本算法得到的光谱数据与采用Q8344A型光谱仪经Labview分析得到的光谱数据作对比,计算得到相似度大于95%,并给出误差及灵敏度分析.     

Robust procedure for fringe analysis

A robust procedure for analyzing fringe patterns obtained from speckle interferometric techniques is proposed. The fringes generally are observed only in a region S of a rectangular lattice L. We give a method for computing (from S) the region R, where the unwrapped phase is to be computed; this computation is done by use of a morphological filter (in particular, a closing filter). We then use a fast-unwrapping algorithm to compute the phase: a preconditioned conjugate-gradient algorithm that uses the discrete Fourier transform.     

Distributed measurement of the complex modulation of a photoinduced Bragg grating in an optical fiber

A method of measuring the complex modulation of a Bragg grating is derived from a one-dimensional model of light propagating in an optical fiber. Interference fringes between the Bragg grating and a reference air-gap reflector are measured, and a Fourier transform of the interference fringes generated as a laser is swept through the wavelength is used to compute the complex modulation function of the Bragg grating over a restricted domain. Supporting data, taken by temperature tuning a distributed feedback diode laser, are shown.     

Precise and fast phase wraps reduction in fringe projection profilometry

Phase wraps in a 2D wrapped phase map can be completely eliminated or greatly reduced by frequency shifting. But it usually cannot be optimally reduced using conventional fast Fourier transform (FFT) because the spectrum can be shifted only by a integer number in the frequency domain. In order to achieve a significant phase wrap reduction, we propose a fast and precise two-step method for phase wraps reduction in this paper, which is based on the iterative local discrete Fourier transform (DFT). Firstly, initial estimate of the frequency peak is obtained by FFT. Then sub-pixel spectral peak with high resolution is determined by iteratively upsampling the local DFT around the initial peak location. Finally, frequency shifting algorithm that operates in the spatial domain is used to eliminate phase wraps. Simulations and experiments are conducted to demonstrate the superb computing efficiency and overall performance of the proposed method.