基于极值统计的拉曼光谱信噪比评估方法与应用

随着近年来便携式光谱仪技术的迅速发展,CCD光谱仪相对于传统光谱仪在光谱收集方式上发生了很多变化：（1）采集到的光谱对信号进行叠加积分,传统信噪比评估方法无法通过单次检测获得探测器波动;（2）对于谱图噪声（谱线随机波动）,由探测器响应随机波动和扫描重复误差转变为CCD探测器像素响应差异、探测器随机噪声和与光学系统分辨力有关的模式噪声。噪声类型发生改变,导致原有的光谱质量评价方法适用性变差,基于实测光谱提出更具适应性的光谱质量评价方法具有很强的现实意义。根据拉曼光谱仪检测器的变化,对采集光谱信号的成分进行分析,在该分析的基础上提出了CCD光谱仪的噪声模型假设,根据该假设使用不同的信号极值点频率对不同的噪声进行像素分离,并对噪声频率模式进行了数值模拟,模拟结果与假设相符;在此基础上提出并实验验证了通过谱线极值间距评估谱线噪声的拉曼光谱信噪比评估方法,该方法包括以下两个步骤：（1）通过采集多次实测光谱进行叠加,叠加过程中对对应不同频次的光谱极值点数量进行统计,得到统计结果后基于文中规律分离光谱仪中的环境噪声和暗噪声;（2）应用上述分离结果,对实测光谱中对应暗噪声的谱线极值点作统计平均,再将该值应用于文中公式,计算得到信噪比。该方法在进行了步骤（1）的前期准备后,可以通过单张谱图评估CCD拉曼光谱仪的随机噪声,并用于评估光谱的信噪比。基于光学构架相同、CCD探测器不同的三个拉曼光谱系统进行实验,采用该方法通过设定信噪比阈值对谱图质量进行控制,获得了一致的光谱曲线;基于该方法对同步叠加平均法进行信噪比拟合,拟合优度达到98%。该方法可用于拉曼光谱仪的性能评估和获取拉曼光谱谱图的质量实时控制。理论和实验表明：对于基于CCD探测器的拉曼光谱仪器,当确定样品和特征峰时,可以基于此方法获得信噪比。该方法还可用于比对不同配置的拉曼光谱设备,以及作为控制谱图质量一致性的标准,并对基于拉曼光谱技术的智能鉴别系统的开发具有指导意义。     

Special phase mask and related data format for page-based holographic data storage systems

Random phase masks in object and reference beam of page-based holographic storage systems suppress the DC-peak and improve the overlap of both beams inside the storage material. Furthermore, they allow for a narrow shift-selectivity. In a holographic setup the phase mask has to be introduced at a conjugate image plane of the spatial light modulator (SLM), if it is not fixed directly on the SLM itself. A binary phase mask with cells generating 0 and π phase shifts has to be aligned very accurately with respect to the SLM pixels, otherwise image artifacts disturb the received data page. We present a phase mask, where the phase cells have the size of a data block which consists of a rectangular set of SLM pixels. Additionally, the corresponding data page has no data at the position of phase jumps and thus relaxes the alignment tolerance significantly.     

体全息存储中SLM和CCD的性能对页内噪声的影响

体全息存储系统中通常采用SLM和CCD作为输入输出器件。SLM和CCD的性能包括填充因子、对比度和像素形状 ,这些性能会对像面页内像素间干涉程度产生很大的影响 ,进而影响页内噪声的大小。针对这一问题 ,首先进行了理论分析 ,然后通过计算机模拟了实际系统     

Diffractive characteristics of the liquid crystal spatial light modulator

The liquid crystal spatial light modulator (LC SLM) is very suitable for wavefront correction and optical testing and can produce a wavefront with large phase change and high accuracy. The LC SLM is composed of thousands of pixels and the pixel size and shape have effects on the diffractive characteristics of the LC SLM. This paper investigates the pixel effect on the phase of the wavefront with the scalar diffractive theory. The results show that the maximum optical path difference modulation is 41\,$\mu$m to produce the paraboloid wavefront with the peak to valley accuracy better than $\la$/10. Effects of the mismatch between the pixel and the period, and black matrix on the diffraction efficiency of the LC SLM are also analysed with the Fresnel phase lens model. The ability of the LC SLM is discussed for optical testing and wavefront correction based on the calculated results. It shows that the LC SLM can be used as a wavefront corrector and a compensator.     

Beam steering approach for high-precision spatial light modulators

Steering accuracy is limited by the quantized phase modulation values and the number of phase pixels for spatial light modulators （SLMs）.Conventional methods of beam steering lack optimum precision.In this letter,a beam steering approach based on horizontally moving phase steps is proposed.Compared with the conventional methods,this novel method is able to reduce the maximum normalized steering error in SLM significantly by a factor proportional to the number of pixels.In addition,steering errors of high steering angles can be drastically reduced by a factor proportional to the product of the number of pixels and the quantized phase levels; the number of high-precision steering angles increases with the number of pixels or the quantized phase levels increasing.     

Dynamic complex wave-front modulation with an analog spatial light modulator

A method of producing an arbitrary complex field modulation by use of two pixels of an analog ferroelectric spatial light modulator (SLM) is demonstrated. The method uses the gray-scale modulation capabilities of a SLM to spatially encode the complex data on two pixels. A spatial filter is used to remove the carrier signal. This technique gives fast gray-level amplitude and phase modulation.     

Full-range, complex spatial light modulator for real-time holography

We demonstrate a full-range complex and transmissive spatial light modulator (SLM) for simultaneous and independent amplitude and phase modulation of an input wave field. Arbitrary scalar complex optical fields are generated by stacking a pixelated liquid crystal display operating in phase-only (2π) modulation with passive polarization-sensitive components. The principle is based on optical combining the light fields of two neighboring phase-only modulating pixels, which were made orthogonally polarized by a structured half-wave plate, then passing through a birefringent plate to laterally shift one of the beams collinear to the other, and finally bringing to interference by a linear polarizer. Complex modulation by the proposed SLM is experimentally verified in monochrome green operation.     

Phase modulated gray-scale data pages for digital holographic data storage

We propose a method for gray level holographic digital data storage by using three-gray levels in the phase mode. Gray level data pages are displayed on a SLM operating in the phase mode to obtain a homogenized Fourier spectrum by suppressing the extremely high intensity DC component in the Fourier spectrum of conventional amplitude based binary/gray level data pages. Holographic interferometry has been used to recover the gray level amplitude data page from phase data page. Numerical simulation results are presented for three-gray level data pages. Fourier plane homogeneity, bit-error-rate, storage density, phase modulation error of the SLM, and misalignment tolerances are investigated through computer modeling. A comparison of the present method with the amplitude-modulated gray level case with and without using a phase mask in conjunction with the data page is carried out. An experimental demonstration of the proposed three-gray level phase data page method is also presented.     

Calibration and data restoration of light field modulated imaging spectrometer

A light field modulated imaging spectrometer(LFMIS) can acquire the spatial-spectral datacube of targets of interest or a scene in a single shot. The spectral information of a point target is imaged on the pixels covered by a microlens.The pixels receive spectral information from different spectral filters to the diffraction and misalignments of the optical components. In this paper, we present a linear spectral multiplexing model of the acquired target spectrum. A calibration method is proposed for calibrating the center wavelengths and bandwidths of channels of an LFMIS system based on the liner-variable filter(LVF) and for determining the spectral multiplexing matrix. In order to improve the accuracy of the restored spectral data, we introduce a reconstruction algorithm based on the total least square(TLS) approach. Simulation and experimental results confirm the performance of the spectrum reconstruction algorithm and validate the feasibility of the proposed calibrating scheme.     

基于像素置乱技术的多重双随机相位加密法

提出一种基于像素置乱技术的多重双随机相位加密法,对该加密法中像素置乱操作的原理进行了阐述,并且提出在光学上实现像素置乱操作和解置乱操作的途径.在计算机上模拟实现了该加密法,并且得到很好的加密解密结果.仿真结果证实仅用部分加密图像来解密也能够得到原图像,并且得到随着待解密的加密图像像素的增加,解密图像的信号能量、噪声以及信噪比的变化曲线.最后分析比较了该加密法与双随机相位加密法,得到该加密法与双随机相位加密法相比具有更高的保密性,而且解密图像的信噪比也不会因为引入像素置乱操作而降低.     

A new piecewise-quasilinearization method for solving chaotic systems of initial value problems

In this paper, a modification of the successive linearization method (SLM) for solving nonlinear initial value problems is introduced for the first time. The proposed method is based on a novel technique of extending the standard SLM and adapting it to a sequence of multiple intervals. In this new application the method is referred to as the piecewise successive linearization method(PSLM). This new algorithm is applied to chaotic and non-chaotic differential equations that model the Lotka-Volterra, Lorenz, Rössler and Genesio-Tesi systems. A comparative study between the new algorithm and the MATLAB Runge-Kutta based in-built solver (ode45) method is presented. The results demonstrate accuracy and reliability of the proposed PSLM algorithm.     

Holographic data storage with arbitrarily misaligned data pages

An improved postprocessing algorithm that can compensate for arbitrary misregistrations between a detector array and the coherent image of a pixelated two-dimensional data page is described. Previously [Opt. Lett. 26, 542 (2001)], an algorithm was reported in which both linear and quadratic interpixel cross-talk contributions are reallocated to the appropriate neighboring pixels. However, page misalignments close to +/-0.5 pixels could not be corrected to an acceptable bit-error rate because of propagation in the iterative procedure. An improved algorithm is reported in which an intentional magnification error is introduced optically and then corrected during postprocessing. Experimental results from a pixel-matched megapel volume holographic system are presented, showing that the dependence of bit-error rate on transverse detector alignment is entirely removed. This improved procedure can completely bypass constraints on page registration, optical distortion, and material shrinkage that currently hamper page-oriented holographic storage systems.     

一种基于多重散射的光学Hash函数

本文提出了一种基于光与多重散射介质相互作用的光学Hash函数构造方法.该方法创新性地利用多重散射介质对相干调制光的天然随机散射作用,实现了对调制光的“混淆”和“扩散”,从而满足了Hash函数的核心功能要求:高安全强度的单向编码/加密.所设计的光电混合系统能有效地模拟Hash函数中的“压缩函数”,结合具有特征提取功能的Sobel滤波器,能实现将任意长度的输入数据压缩并加密为固定长度为256 bit的输出(即Hash值).一系列仿真结果表明:该方法所构造的光学Hash函数具有良好的“雪崩效应”和“抗碰撞性”,其安全性能可比拟当前最为广泛使用的传统Hash函数(MD5和SHA-1).     

Decision-based adaptive morphological filter for fixed-value impulse noise removal

A novel adaptive switching morphological filter for removing fixed-value impulse noise is proposed. The proposed filter firstly identifies noise pixels using the two-stage morphological noise detector, in which the initial noise detection is used to identify the noise candidates based on the morphological gradients and the refined noise detection based on the combined conditional morphological operators is adopted to further classify the noise candidates as the noise pixels or noise-free pixels. Then the detected noise pixels are removed by the adaptive morphological filter using the conditional rank-order morphological operators while the noise-free pixels are left unaltered. Extensive simulations show that the proposed filter outperforms a number of existing switching-based filters because of its excellent performance in terms of noise detection and image restoration.     

基于空间光调制器的波面重建优化方法研究

针对不同非球面面形的实时检测需求,研究了基于空间光调制器的标准波面重建技术.基于空间光调制器波面重建的原理设计了干涉测量系统,依据空间光调制器的自身特点选取修正离轴计算全息编码方式实现对标准球波面的编码.针对实验中空间光调制器作为全息再现介质引起重建波面质量下降问题,提出了错位叠加优化方案,并将这一过程进行了模拟实验.结果表明,基于错位叠加方法的重建波面均方差值提高了近4.45倍.研究成果为非球面检测过程中标准波面的获取提供了可靠的理论基础.     

基于空间光调制器的波面重建优化方法研究

针对不同非球面面形的实时检测需求,研究了基于空间光调制器的标准波面重建技术.基于空间光调制器波面重建的原理设计了干涉测量系统,依据空间光调制器的自身特点选取修正离轴计算全息编码方式实现对标准球波面的编码.针对实验中空间光调制器作为全息再现介质引起重建波面质量下降问题,提出了错位叠加优化方案,并将这一过程进行了模拟实验....     

空间遥感仪器探测器工作温度对信噪比的影响分析

临边观测是一种新的空间大气遥感探测方式,但大气散射光谱辐射随临边高度的增加而迅速减弱。所以信噪比是临边遥感仪器的关键性能指标。在深入分析典型仪器信号光谱辐射传输特性和噪声来源的基础上建立了随探测器制冷温度变化的信噪比模型,并在一台临边遥感光谱仪原理样机上模拟试验验证了空间环境下临边高度70km处的信噪比,理论分析和实验结果一致表明:探测器制冷到一定温度时,仪器的信噪比达到了一个极限值。在综合考虑功耗、散热等问题的基础上获得了探测器的最优工作温度。     

阿达玛变换在激光告警技术中的应用

系统信噪比一直是制约激光探测武器性能的关键性因素之一。为提高系统探测信噪比,利用阿达玛变换方法,在计算模板大小（17.48×17.48mm）和码元数N=255的基础上,详细介绍了Sn循环矩阵的生成,最后选择液晶空间光调制器充当编码模板。通过在液晶面板上不同位置施加不同的电压,利用旋光效应对通过的激光衍射条纹进行控制,按其通过与否（1/0）进行编码。在这一方法指导下进行了系统的仿真实验研究并获得成功。实验结果表明：将阿达玛变换应用于激光光谱测量,在不增加测量次数的情况下,可以有效地提高系统的信噪比。     

全息光盘存储器的数据存取与像素匹配

全息光盘存储(HDS)技术作为一种非常具有潜力的新型信息存储技术, 是下一代光盘发展的目标。在全息光盘存储系统中, 为了实现数据精确快速地写入和读出, 降低误码率, 需要在整个高分辨率页面上实现空间光调制器(SLM)与光电阵列耦合器(CCD)之间1∶1像素匹配。在体全息存储理论和光学设计理论基础上, 研究实现SLM和CCD像素1∶1匹配的方法, 提出了实现像素匹配的要求和条件, 并且按照此要求完成该全息光盘存储器的光学系统。实验中, 分别使用随机数据掩膜版和SLM实现了对CCD的512×512精确像素匹配, 在光学系统中引入存储介质条件下, 图像质量良好, 掩膜版和SLM原始误码率分别为2.5×10-4和1.5×10-4。     

A measure of curve fitting error for noise filtering diffusion tensor MRI data

A parameter, chi2p, based on the fitting error was introduced as a measure of reliability of DT-MRI data, and its properties were investigated in simulations and human brain data. Its comparison with the classic chi2 revealed its sensitivity to both the goodness of fit and the pixel signal-to-noise-ratio (SNR), unlike the classic chi2, which is sensitive only to the goodness of fit. The new parameter was thus able to separate effectively pixels with coherent signals (having small fitting error and/or high SNR) from those with random signals (having inconsistent fitting and/or low SNR). A practical advantage of chi2p over the classic chi2 was that chi2p is quantified directly from the data of each pixel, without requiring accurate estimation of data-dependent parameters (such as noise variance), which often makes application of the classic chi2 problematic. Analytical approximations of chi2p enabled an objective (data-independent) and automated calculation of a threshold value, used for internal scaling of the chi2p map. Apart from assessing data reliability on a pixel-by-pixel basis, chi2p was used to develop an objective and generic methodology for the exclusion of pixels with unreliable DT information by discarding pixels with chi2p values exceeding the threshold. Pixels corresponding to very low SNR, and poorly fitted cerebrospinal fluid and surrounding brain tissue, had increased chi2p values and were successfully excluded, providing DT anisotropy maps free from artifactual anisotropic appearance.