Parametric identification of ultrabandwidth signals on the background of noise

Parametrization algorithms have been developed for solving the problem of time and frequency identification of ultrabandwidth signals. In the time domain, a signal is represented as a sequence of rectangles with the height corresponding to the signal average level within the chosen time lobe. The height and position of rectangles on the time axis are used as parameters for signal identification. In the frequency domain, a signal is represented as a sectionally continuous complex spectrum. The amplitude and complex spectra used for identification are represented by a finite number of values which is considerably smaller than that of the initial sample. The algorithms were checked for operability by performing numerical simulations with a code developed for the calculation of fields by the finite difference time domain method. The results are presented as identification probability diagrams. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 46–53, June, 2008.     

马赫-曾德光纤干涉光谱测量系统的设计

光纤干涉光谱仪由于其体积小、分辨率高、抗电磁干扰和耐高温的特点,广泛应用于各种领域的物质检测中。设计了一种使用电动光纤延迟线实现光程差调制的基于Mach-Zehnder光纤干涉仪的光谱测量系统。介绍了系统的构成,推导了基于该系统的光谱计算公式以及分辨率计算公式。搭建了实验平台,对一宽谱光源进行测试,并采集其干涉信号,解调出了相应的光谱图。对结果进行分析,当最大光程差变为0.479 5 cm时,光谱分辨率为2.085 4 cm-1。电动光纤延迟线的性能在很大程度上决定了最终解调出的光谱的分辨率、精度,尤其是速度和延时时间的精度和线性度。     

基于窄带谱能量的快速正弦分析方法

文中提出了一种基于窄带谱能量的快速正弦参数分析方法。该方法将信号η阶导数的傅氏变换与传统傅氏变换相结合,并且根据窗函数的主瓣能量集中特性,用原始信号的窄带能量逼近单个正弦分量的全带能量来提取正弦参数。实验表明,与已有算法相比,该算法的提取精度提高了30%~60%,计算量降低了4倍以上,可应用于实时语音分析和语音通信。      

Quantum correlations of pulses of optical parametric oscillator synchronously pumped above threshold

The quantum analysis of radiation from a degenerate optical parametric oscillator synchronously pumped above its oscillation threshold is presented. It is shown that pulses of signal and pump fields at the output of the oscillator have the following properties: quantum fluctuations of the fields are independent in each individual pulse, but correlated in pulses of the pulse train with a temporal step multiple of the pulse period. The number of essentially correlated pulses is on the order of the oscillator cavity finesse. Cross-correlations between the pump and signal pulses are established above the oscillation threshold. These correlations lead to a significant quantum effect in the integral characteristics of the fields. A theoretical analysis revealed that the spectrum of field fluctuations measured using a balanced homodyne detection technique of phase quadratures of the fields with a pulsed local oscillator reveals quantum noise suppression in the vicinity of frequencies that are multiples of the pulse repetition rate.     

动态应变场下相移光栅光谱特性及实验研究

光纤传感技术以其抗电磁干扰、高精度、易组网等优势在航空航天及地下工程领域的声发射传感中得到了广泛应用。针对光纤光栅声发射监测系统,目前研究侧重于均匀光纤光栅的动态应变场传感特性,基于相移光纤光栅(phase-shifted fiber Bragg grating, PS-FBG)这一新型光纤光栅器件,重点研究声发射激励产生的动态应变场下相移光纤光栅的光谱特性变化规律。首先利用传输矩阵理论,建立PS-FBG的动态应变传感模型,利用指数衰减的余弦函数模拟声发射激励产生的动态应变场。通过数值仿真,详细研究PS-FBG光谱对动态应变场幅度、采样时刻、衰减系数、声发射频率及波长的响应特性。结果表明,PS-FBG反射谱形状随声发射频率与采样时刻呈现周期性变化,具体表现为透射窗口所对波长产生周期性漂移,而带宽变化不明显;随着动态应变场幅值越大,PS-FBG反射谱的谐振峰向两侧逐渐增多,透射窗口所对波长漂移很小;一定范围内衰减系数对PS-FBG光谱影响较大;而当声发射波长为0.1～2 L时,对PS-FBG光谱产生较大影响,此时光谱畸变较严重,在此范围外,光谱形状不发生明显变化。最后,搭建连续信号激励下的动态应变场实验平台,分析不同幅度a与频率f变化下PS-FBG的光谱特性,实验结果与仿真结果较好吻合。表明PS-FBG光谱对不同声发射激励产生的动态应变场响应不同,呈现一定规律性,该研究为基于相移光纤光栅传感技术的声发射传感提供理论指导。     

Spectrum measurement in the fractional Fourier domain

Fractional Fourier transform (FRFT) plays an important role in many fields of optics and signal processing. This paper considers the problem of real-time measurement of the spectrum of a signal in the FRFT domain. In this paper, we propose two approaches for real-time measurement of the FRFT of a signal based on modulation and bandpass filtering systems. The relation is established between the linear frequency modulation (LFM or chirp) spectrum and the FRFT of its envelope. In addition, two applications for spectrum measurement are presented in the FRFT domain. The LFM signal can be bandlimited in the Fourier transform (FT) domain through spectrum measurement associated with bandpass filtering method. The results can also be useful in the problems related to swept-frequency filter for measurement in the FRFT domain.     

NMR signal averaging in 62T pulsed fields

Nuclear Magnetic Resonance (NMR) experiments in pulsed high magnetic fields up to 62T at the Dresden High Magnetic Field Laboratory (Hochfeld-Magnetlabor Dresden) are reported. The time dependence of the magnetic field is investigated by observing various free induction decays (FIDs) in the vicinity of the maximum of the field pulse. By analyzing each FID's phase and its evolution with time the magnetic field's time dependence can be determined with high precision. Assuming a quadratic or cubic dependence on time near the field maximum its confidence is found to be better than ± 0.03ppm at low fields and ± 0.8ppm near 62T. In turn, the thus obtained time dependence of the field can be used to demodulate and phase-correct all FIDs so that they appear phase-locked to each other. As a consequence signal averaging is possible. The increase in signal-to-noise ratio is found to be close to that expected theoretically. This shows that the intrinsic time dependence of the pulsed fields can be removed so that the NMR signals appear to be taken at rather stable static field. This opens up the possibility of performing precise shift measurements and signal averaging also of unknown, weak signals if a reference signal is measured during the same field pulse with a double-resonance probe.     

Master equations for time correlation functions of a quantum system interacting with stochastic perturbations and applications to emission and absorption line shapes

The stochastic and quantum dynamics of open quantum systems interacting with stochastic perturbations in considered. The master equations for one time and multi-time correlation functions of such a system are derived to all orders in the interaction with the stochastic perturbations. The importance of the non-markovian character of such equations in the study of various problems in optical resonance is discussed. The simplified form of the non-markovian master equations in Born approximation is also given. It is shown that such non-markovian master equations in Born approximation are exact if there is only one random perturbation, of the telegraphic signal type, acting on the system. The master equations for the linear response functions of an open system interacting with stochastic perturbations are also derived. The non-markovian master equations for multitime correlations are used to study the behaviour of two level atoms interacting with fluctuating laser fields. Both amplitude and phase fluctuations are taken into account. Explicit results are presented for the spectrum of resonance fluorescence, absorption spectrum, photon antibunching effects etc. The calculations are done for arbitrary values of the relaxation parameters and intial conditions. In general the fluorescence spectrum is found to be asymmetric for off resonant fields.     

半导体激光Fabry-Perot干涉波长的微位移测量仪

摘要设计了一种基于Fabry-Perot干涉波长测量仪.这种测量仪使用两个Fabry-Perot干涉腔,其中一个作为测量腔、另一个作为参考腔,测量腔的一个反射面与被测对象安装在一起,参考腔的一个反射面与压电陶瓷安装在一起.根据透射光谱中心波长与其干涉腔长之间的关系,当参考腔与测量腔的透射光谱中心波长完全重合时,对纳米级微位移实现实时测量.光源采用半导体激光器,可获得所需要的波长值和波长变化范围.实验结果表明,这种测量仪测量误差不大于1.5 nm,该精度可以满足精密机械加工、光电子和微电子加工以及纳米级测量技术等领域的精度要求.     

多波长消荧光拉曼光谱仪的研制及应用研究

拉曼光谱技术作为探究分子、晶体及其结构特征的有力手段,具有快速、无损、样品用量小、无需前处理且适应性强等优点,已被广泛应用于食品安全、石油化工等领域。但在拉曼光谱应用中,常常受到荧光背景干扰,导致拉曼信号降低,严重的情况下拉曼信号甚至会淹没在荧光背景中。为解决拉曼技术在实际应用中荧光背景干扰的问题,从仪器角度出发,采用二色镜对多波长拉曼光谱进行光路耦合设计,研制了近红外拉曼光谱与移频差分拉曼复合一体的多波长消荧光拉曼光谱检测系统,其中近红外拉曼光谱采用1 064 nm激光光源设计,移频差分拉曼光谱选取784.5和785.5 nm两组激光光源进行时分复用,在移频差分拉曼光谱检测的同时,亦可获得两组单波长拉曼光谱数据。通过对比同步测试和分时逐次测试的强度及峰位稳定性,验证了多波长消荧光拉曼光谱仪的同步测试性能;选取了多种荧光背景强弱不同的样品,进行了单波长拉曼、近红外拉曼及移频差分拉曼光谱的对比分析。针对丙酮、乙腈等荧光背景较弱的样品,可采用单波长拉曼光谱对样品进行定量及定性分析;针对食用油、红色塑胶微粒等荧光背景与拉曼信号强度相当的样品,可采用近红外拉曼光谱对样品进行定量及定性分析;针对红酒、棕色塑胶微粒等荧光背景较强的样品,需结合近红外拉曼光谱和差分拉曼光谱对样品进行定性分析。研究表明：通过多波长消荧光拉曼光谱检测系统的研制,在常规单波长拉曼光谱技术的基础上,将两种抑制荧光干扰技术有机结合,有效扩充了应用领域及样品检测范围。     

高斯白噪声相位调制的激光光谱展宽

激光器是现代光学中一种常用的光源,分析其谱宽特性对于激光的研究具有重要意义.由于高性能窄线宽激光的半高全宽通常在几十M Hz以内,难以直接满足宽光谱领域的应用需求,因而无法发挥其在成本和性能方面的优势,这在一定程度上限制了激光的发展.如果在激光内部直接进行调制实现线宽展宽,又会导致频率的严重漂移,破坏稳频特性.为了在激...     

Temporal resolution in radio, seismic, and acoustic detection

We consider the possibility of using a monochromatic sounding signal modulated in amplitude by a slowly varying function for detection purposes. It is shown that when conventional processing techniques are used, such a sounding signal should be considered as a narrow-band signal not providing high temporal resolution, whereas with another well-known technique this sounding signal allows one to obtain a higher temporal resolution corresponding to the total width of the signal spectrum. In the latter case, the signal-to-noise ratio is determined by the maximum of the sounding signal, while the resolution is determined by the spectrum width measured at the level of the spectrum minimum. We discuss the spectral and cepstral methods for obtaining high temporal resolution. The considered methods for obtaining high temporal resolution in detection are compared with the methods of image formation by monochromatic wave fields. Talk delivered at the scientific seminar of the Radiophysics Department of the Nizhny Novgorod University on November 4, 1999. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 43, No. 5, pp. 406–412, May, 2000.     

基于激光驱动等离子体光源的近红外傅里叶变换光谱系统

近红外傅里叶变换光谱仪作为一种常用的科研级近红外光谱检测仪器,广泛应用于各个科研领域。目前的近红外光谱仪着重于光谱分辨率方面的提升,在光谱信噪比提升方面关注较少。光谱信噪比直接影响光谱线指数测量精度的优劣,光谱信噪比越高,光谱线指数测量精度越高,越有利于对微量物质进行精细光谱比对。因此,提升光谱仪的光谱信噪比是十分必要的。对比常用的钨灯光源,激光驱动等离子体光源(LDLS)不仅在近红外区域具有高光照强度的优点,而且其独特的高频调制输出信号在经锁相放大器调制解调后能够很好的抑制背景信号对干涉光谱所带来的影响。高亮度与辐射调制的结合使得以LDLS作为光源的近红外傅里叶变换光谱系统在光谱信噪比方面获得显著提升。基于上述原因,提出利用新型激光驱动等离子体光源作为光谱信号输出源的近红外傅里叶变换光谱系统,并与含有调制能力的钨灯光源搭建的近红外傅里叶变换光谱系统进行了信噪比的比较实验。首先利用钨灯光源由斩波器高频调制再经过锁相放大器解调的方式,对锁相放大器积分时间进行优化并通过计算干涉光谱信噪比进行评估,分别对比了积分时间为0.5,1,5,10和20 ms的干涉光谱信噪比与对称度,确定后续系统中的锁相放大器最佳积分时间为5 ms,该状态下钨灯光源所实现的干涉光谱信噪比经计算约为90∶1;其次利用激光驱动等离子体光源代替钨灯光源和斩波器,在最佳积分时间下进行干涉光谱信噪比对比评估,结果表明激光驱动等离子体光源的干涉光谱信噪比与传统钨灯光源相比提升111倍;最后,利用近红外标准片对系统进行光谱测量准确性评估,结果表明利用该光源的近红外傅里叶变换光谱系统的近红外吸收峰值误差<0.5 nm,具有高光谱准确性与分辨能力。     

基于匹配追踪的拉曼光谱信号重构算法

拉曼光谱技术是一种高灵敏度、无损伤、振动分子光谱技术,在医药、生物、分析化学等诸多领域有着重要的作用。然而,由于拉曼散射强度低,实际测得的拉曼信号容易被噪声所污染。特别是在较短的曝光时间,收集到的拉曼光谱的信噪比很低。因此,提出了一种基于匹配追踪算法的信号重构方法,用于提取低信噪比的拉曼信号。该方法首先通过阈值循环迭代的方法在平均谱上找出特征峰的位置、估计峰的区间。根据峰的位置区间等信息,用高斯密度函数生成字典。在噪声谱上,根据特征峰位置和区间,将其区分为有信号区间和无信号区间,在有信号区间上利用匹配追踪算法重构被噪声所掩盖的拉曼信号。该算法不仅能够很好的逼近掩盖在噪声中的拉曼信号,且在重构信号的过程中也会对基线进行扣除,无须作基线校正处理。在仿真和实验中对该算法与常规算法进行了比较,结果证明,该算法在低信噪比条件下能够较好的恢复拉曼信号。该算法不同于传统光谱去噪算法,能同时对拉曼光谱进行了基线扣除以及噪声的处理,且能取得较为理想的结果,不需要使用不同的算法对基线和噪声分别处理。其次,在算法上我们创造性地将匹配追踪算法用于拉曼光谱信号的稀疏逼近求解。     

The asymptotic spectrum of the EWMA covariance estimator

The exponentially weighted moving average (EWMA) covariance estimator is a standard estimator for financial time series, and its spectrum can be used for so-called random matrix filtering. Random matrix filtering using the spectrum of the sample covariance matrix is an established tool in finance and signal detection and the EWMA spectrum can be used analogously. In this paper, the asymptotic spectrum of the EWMA covariance estimator is calculated using the Mar?enko-Pastur theorem. Equations for the spectrum and the boundaries of the support of the spectrum are obtained and solved numerically. The spectrum is compared with covariance estimates using simulated i.i.d. data and log-returns from a subset of stocks from the S&P 500. The behaviour of the EWMA estimator in this limited empirical study is similar to the results in previous studies of sample covariance matrices. Correlations in the data are found to only affect a small part of the EWMA spectrum, suggesting that a large part may be filtered out.     

人全血的毛细管显微拉曼光谱分析

血液中含有众多生物信息,如激素、酶、抗体等丰富的蛋白质成分。通过对血液中众多生物信息进行检测鉴定可以起到对该血液种属判定、溯源的目的。因此,血液检测技术的发展在诸如刑事案件侦破、物种鉴定、疾症预防等领域具有重要意义。目前,传统血液检测手段多为显微观测、免疫法、DNA/基因检测法等,这些技术会对血液样本造成不可逆转的破坏性,且存在分析周期长、结构装置复杂、试验价格昂贵等问题。随着激光技术的发展,拉曼光谱技术作为一种非线性散射光谱技术,在血液检测技术中得到了应用。在血液检测技术中,拉曼光谱技术通常与共聚焦显微系统结合,对涂在载玻片上或盛放在透明容器中的血液样品进行光谱信号采集。该技术具有快速、无损等优势,但复杂的光路系统及昂贵的实验装置限制了该技术的广泛推广。为提出一种装置简单、操作简便的血液拉曼检测新技术,研究采用基于毛细管的显微拉曼技术方案采集并分析人全血的拉曼信号。血液样品通过毛细管的虹吸效应取样,与载玻片的涂样方式相比毛细管的方案具有模拟人血管、维持血液活性、减小空气对实验过程中血液成分的影响、降低激光对血液样品的灼伤效果等优势。为避开可见光部分荧光较强区域的荧光干扰,研究采用360 nm紫外激光器作为激发光源,防止可见荧光信号的干扰。积分时间设为800 ms,有效避免因激光长时间照射对血液样品的灼伤效果,影响实验数据的稳定性与真实性,光谱平均次数为2次,避免单次测量所带来的数据的不准确性影响。光谱扫描范围为500～1 800 cm-1, 结果表明此范围内可较好的避开可见光部分荧光较强区域的干扰。测得的拉曼光谱信号通过滤波去噪及基线校正进行处理。首先采用5阶离散小波变换滤波,进行1层信号分解,滤除高频噪声信号,保留低频有效信号,从而去除杂散信号,对光谱有效信号进行提取。其次,采用4阶多项式拟合扣除基底的基线校正,实现人全血的毛细管显微拉曼光谱峰值信号的提取。最终,通过查询SDBS数据库以及人血样本通过reishaw共聚焦显微拉曼光谱仪测量所得光谱图进行验证发现测得信号中部分为人体内数种氨基酸成分的拉曼信号。实验研究发现,基于毛细管的显微拉曼实验系统与常规拉曼探头实验系统相比,拉曼信号更稳定、重复性高,可有效提取人全血中的拉曼光谱信号, 而其与高精度的共聚焦显微拉曼系统相比价格便宜、结构简单、易于推广等优点,但信号信噪比、有效信号的峰值强度上仍有进一步的提升,是一种测量人全血拉曼信号的可行方案。     

基于梯度下降法直接拟合光谱吸收信号的气体浓度测量方法研究

可调谐二极管激光吸收光谱技术由于选择性强、灵敏度高、精确度高、非侵入式测量等优点,被广泛应用于大气环境监测、燃烧流场诊断、工业过程控制、人体呼吸探测等领域。直接吸收技术和波长调制技术是可调谐二极管激光吸收光谱技术两种不同的测量手段,其中直接吸收技术测量系统结构简单、信号处理相对容易、成本较低、避免提前标定,在测量气体为常量组分时广泛使用。直接吸收技术测量气体浓度时,首先需要从光谱吸收信号中得到一条表示未吸收的基线信号,这一过程被称为基线拟合。基线拟合不准确会给测量结果带来较大误差,这也是直接吸收技术难以达到低探测限的原因之一。针对上述问题,基于梯度下降法,将基线、气体浓度、吸收线型等作为未知量,通过建立激光吸收光谱信号的数学模型,对透射信号直接拟合,最终得到气体的浓度信息。这种方法同步拟合了线型和基线,相比传统的积分面积法,增强了拟合的整体一致性。在近红外激光吸收光谱气体浓度检测系统上,利用中心波长在1 580 nm处的分布反馈式激光器,通过该方法对实际浓度为10%,12%,14%,16%,18%和20%的CO₂进行了测量,并将测量结果与积分面积法测量结果进行对比。研究结果显示,六种浓度下直接拟合法的曲线拟合方差均小于1×10-4,测量浓度的最小相对误差仅为0.90%,最大相对误差为4.40%,此时迭代时间在4 s以内,计算检测限为0.39%;直接拟合法和积分面积法得到的浓度平均相对误差分别为2.63%和5.74%,直接拟合法优于积分面积法。实验研究验证了基于梯度下降法直接拟合光谱吸收信号的气体浓度测量方法的可行性与准确性,为直接吸收技术提供了一个新的思路。     

光谱分析采样数据重建原始信号

用光谱分析方法分析信号的采样与恢复。用三个改进的升余弦脉冲构造对称的限带频谱F(ω),经理论推导获得时域信号f(t)。采用梳状函数δ_T(t)对f(t)采样,调节T值,获得Shannon采样。应用快速傅里叶变换,计算采样的频谱F_d(ω),比较计算频谱F_d(ω)与限带频谱F(ω)的差别,讨论由采样频谱F_d(ω)重建f(t)的方法。结果发现：计算频谱F_d(ω)与限带频谱F(ω)非常相似,由采样数据可以在时域直接重建原始信号,而由频谱数据经快速逆傅里叶变换,同样能准确重建原始信号。因此,信号存储,既可以存储其采样信号,也可以存储采样信号的数字频谱。