研究干涉图处理与光谱复原的一种新方法

简要论述了自行研制的空间调制型偏振干涉成像光谱仪的工作原理及干涉图获取模式，采用三种不同的光谱复原方法分别对干涉图进行了处理和光谱复原，并对实验结果进行了分析比较.将非参数模型Music算法引进到干涉图的光谱复原处理中，极大的提高了复原光谱的分辨率，为超高分辨率的光谱复原分析技术提供了较好的数学模型，为提高光谱分辨率提供了可能的依据和新方法. 关键词： 空间调制 偏振干涉成像光谱技术 光谱复原 Music算法     

相干场成像全相位目标直接重构法

回波信号处理和目标重构算法是相干场成像中的核心数据处理技术, 直接影响系统的成像质量. 基于全相位谱分析理论, 提出一种新的系统融合处理算法, 对接收端回波信号直接提取全相位谱相位及幅值信息实现目标图像重构, 能够有效抑制各种因素带来的频率误差. 经室外实验系统验证, 成像能力大大优于传统重构算法, 重构目标分辨率接近理论极限值.     

基于扩散滤波的多尺度分解和重构方法及应用初探

从各向异性PM方程出发,推导多维扩散滤波微分方程的离散格式及其稳定性条件,首次构建基于扩散滤波的多尺度分解和重构方法,给出两种具体实施方案及其关键步骤.地震资料应用表明,所提方法分解和重构信号的过程合理可靠,其中方案①的2D傅里叶波数谱能量随尺度的增加而远离谱中心点,其残差信号表现为高波数信号,在随机噪声压制中取得了较好的效果;方案②的2D傅里叶波数谱能量随尺度的增加而靠近谱中心点,其残差信号表现为低波数信号,在低频逆时噪声压制中取得了较好的效果.所提方法计算过程简单易实现,对于信号处理提供了一种多尺度分解和重构方法,在地震信号处理领域具有较高的应用价值.     

基于光谱可调谐光谱重构方法研究

针对光谱重构领域中光谱数据量较大与重构精度较低的问题,提出了一种光谱可调谐的光谱重构方法。在此之前国内外相关研究均是在数百条膜系的基础上进行,并且计算过程比较复杂,该方法利用10条膜系针对不同的单色光源进行实验并进行光谱重构。光谱重构数学模型可以用线性方程组AX=B表示,在实验过程中会受到多种误差源的干扰,如膜系加工与设计间的误差、探测器量子效率拟合误差、杂散光干扰误差以及灰度值选取的误差等。这些误差源造成了线性方程组变为病态方程,造成了目标光谱信息解算的不准确。在解算目标光谱信息的过程中,首先在400～900 nm波长范围内利用凸优化算法解出含有误差的目标光谱信息的初始值,并进行初次拟合,得出含有误差的光谱曲线。然后利用已知的光谱曲线信息判断目标光谱的有效波长范围,对目标光谱范围进行伸缩,在此范围内进行二次局部解算,得出局部波长内的光谱信息,然后对局部光谱信息进行局部拟合,结合初次拟合结果,得出新的目标光谱拟合曲线,进一步提高了光谱重构精度,以此类推,得出精度较高的目标光谱曲线。针对重构精度的评价指标不仅采用了国内外广泛使用的ARE,MSE与RQE,还首次提出了一种新的评价光谱重构精度的指标,即计算目标有效波长范围内每隔10 nm的MSE值,若每10 nm的MSE值小于0.1,则认为光谱重构精度达到了10 nm,该方法不仅有效避免了在求解出现严重偏离真实值的情况,还在凸优化解算过程中提供了约束条件,有利于提高重构精度。实验结果表明该方法在保证MSE,ARE与RQE高精度的条件下,每隔10 nm的MSE最小值达到了0.002 3。基于光谱可调谐光谱重构方法不仅达到了对目标光谱达到高精度重构的效果,而且实现了数据降维。此方法为光谱重构领域的工作方向提供了新的思路,在工程上具有较大的应用价值。     

Resolution enhancement with improved range Doppler algorithm in high numerical aperture OCT

The improved range Doppler algorithm is proposed to abate the trade-off between resolutions and depth of focus in spectral domain optical coherence tomography.By considering the finite beam width and the shape of the wavefronts produced by the Gaussian beam,a physical diffraction model is presented to simulate the light propagation process in the sample.The two-dimensional processing of the spectrum data is decomposed into two one-dimensional processings of Stolt transform and matched filter.Experimental results show that image reconstruction can be achieved.The transverse and axial resolutions are both improved significantly,especially in the out-of-focus range,and the resolutions are almost equivalent throughout the entire region of interest.     

MASS-RAB: Robust adaptive beamforming for general-rank signal models via matched spatial spectrum processing

The wavefront of acoustic signal suffers from fast fluctuation after a long distance propagation in a random and inhomogeneous ocean channel, which makes the rank of the covariance matrix for the desired signal (signal of interest) remarkably higher than one. Consequently, the assumption of rank-one point signal model for existing adaptive beamforming algorithms is no longer suitable. In this paper, a matched spatial spectrum processing based robust adaptive beamforming (MASS-RAB) algorithm is presented for general-rank signal models. First, the interference-plus-noise covariance matrix and the desired signal covariance matrix are reconstructed using the matched spatial spectrum processing method. Second, the weight vector is directly calculated using these reconstructed covariance matrices for the minimum variance distortionless response (MVDR) algorithm, which is developed for the general-rank signal models. Due to covariance matrix reconstruction, the MASS-RAB algorithm is more robust than those methods relying on the sample covariance matrix. The cases of the rank-one point signal model and the full-rank non-point signal model are considered by several numerical examples. Experimental results have demonstrated the superiority of the proposed MASS-RAB method.     

Potential reduction interior point algorithm unfolding of neutron energy spectrum measured by recoil proton method

A reconstruction algorithm for unfolding neutron energy spectra has been developed, based for the first time on the potential reduction interior point algorithm. This algorithm can be easily applied to neutron energy spectrum reconstruction in the recoil proton method. We transform the neutron energy spectrum unfolding problem into a typical nonnegative linear complementarity problem. The recoil proton energy spectrum and response matrix at angles of 0^o and 30^o are generated by the Geant4 simulation toolkit. Several different neutron energy test spectra are also employed. It is found that this unfolding algorithm is stable and provides efficient, accurate results.     

Investigation of the main characteristics of the superhigh energy primary cosmic radiation in the GAMMA experiment (Mt. Aragats, Armenia)

The all-particle energy spectrum of the Primary Cosmic Radiation obtained from the data of GAMMA array (3200 m a.s.l., 700 g/cm² of atmospheric depth) is presented. The results are obtained by the event-by-event method of the E ₀ -energy estimation which is developed using the EAS simulation with use of the software CORSICA and the SIBYLL interaction model with subsequent reconstruction of shower parameters taking into account the response of GAMMA detectors, reconstruction errors, as well as fluctuations of EAS development. By using this method an essential “bump”-shaped irregularity is observed in the all-particle spectrum at primary energies of ～7.4×10⁷ GeV; the bump exceeds a smooth power-law fit to the data by about 4 standard deviations. From the results of studies of the systematic uncertainties of our methods conclusion is made that the observed irregularity has a physical nature rather than is caused by methodical errors. A model explaining this phenomenon is proposed.     

基于双色条纹投影的薄膜振动模式分析

结构光投影和条纹时间平均分析技术已被用于振动模式分析中,但由于投影单色正弦条纹时振动薄膜变形条纹傅里叶谱中零频涵盖范围较大,会限制滤波窗的选取范围,从而影响模式的最终重建结果。为提高振动模式重建的准确性,提出了一种利用π相移正弦条纹投影进行薄膜振动模式分析和振幅重建的方法,通过处理两个通道的条纹分量达到消除零频的目的。给出了该方法的理论分析,完成了相应的计算机模拟,分析了影响测量精度的因素。通过与投影单色正弦条纹的振动模式重建结果对比,表明该方法有较高的重建精度。不同激励频率下的实际薄膜振动实验结果也证明了该方法正确可行。     

Eliminate the influence of zero-order diffraction for wavefront reconstruction with selectable magnification in digital holographic

The objective surface is considered as the scattering plane; frequency spectrum of a digital hologram transmission light is studied when the reference light and reconstruction wave are spherical waves. The relation between relevant parameters and the object light, conjugate object light and zero-order diffraction wave frequency spectrum distribution. The research results show that: each frequency spectrum of the diffracted wave broadens to various degrees as the radius of the reconstruction wavefront decreases, and frequency aliasing is generated under certain conditions. Based on the research results, a new method that carries out high-pass filtering processing without zero-order diffraction interference upon digital hologram is proposed and the reconstruction experimental proof for eliminating the interferential changeable magnification wave is given.