Spatially resolved solid-state MAS-NMR-spectroscopy

A comprehensive account of spatially resolved solid-state MAS NMR of ¹³C is given. A device generating field gradients rotating synchronously with the magic angle spinner is described. Spatial resolution and sensitivity are compared for phase and frequency encoding of spatial information. The suppression of spinning sidebands is demonstrated for both cases. Prior knowledge about the involved materials can be used for the reduction of data from spatially resolved spectra to map chemical structure. Indirect detection via ¹³C NMR gives access to the information about mobility from proton-wideline spectra. Two-dimensional solid-state spectroscopy with spatial resolution is demonstrated for a rotor-synchronized MAS experiment which resolves molecular order as a function of space. By comparison of different experiments the factors affecting the spatial resolution are investigated.     

Diagnosis and impacts of non-Gaussianity of innovations in data assimilation

Most of the atmospheric and oceanic data assimilation (DA) schemes rely on the Best Linear Unbiased Estimator (BLUE), which is sub-optimal if errors of assimilated data are non-Gaussian, thus calling for a full Bayesian data assimilation. This paper contributes to the study of the non-Gaussianity of errors in the observational space. Possible sources of non-Gaussianity range from the inherent statistical skewness and positiveness of some physical observables (e.g. moisture, chemical species), the nonlinearity, both of the data assimilation models and of the observation operators among others. Deviations from Gaussianity can be justified from a priori hypotheses or inferred from statistical diagnostics of innovations (observation minus background), leading to consistency relationships between the error statistics. From samples of observations and backgrounds as well as their specified error variances, we evaluate some measures of the innovation non-Gaussianity, such as the skewness, kurtosis and negentropy. Under the assumption of additive errors and by relating statistical moments from both data errors and innovations, we identify potential sources of the innovation non-Gaussianity. These sources range from: (1) univariate error non-Gaussianity, (2), nonlinear correlations between errors, (3) spatio-temporal variability of error variances (heteroscedasticity) and (4) multiplicative noise. Observational and background errors are often assumed independent. This leads to variance-dependent bounds for the skewness and the kurtosis of errors. From innovation statistics, we assess the potential DA impact of some scenarios of non-Gaussian errors. This impact is measured through the mean square difference between the BLUE and the Minimum Variance Unbiased Estimator (MVUE), obtained with univariate observations and background estimates. In order to accomplish this, we compute maximum entropy probability density functions (pdfs) of the errors, constrained by the first four order moments. These pdfs are then used to compute the Bayesian posterior pdf and the MVUE. The referred impact is studied for a large range of statistical moments, being higher for skewed innovations and growing in average with the skewness of data errors, specially if the skewnesses have the same sign. An application has been performed to the quality-accepted ECMWF innovations of brightness temperatures of a set of High Resolution Infrared Sounder (HIRS) channels. In this context, the MVUE has led in some extreme cases to a potential reduction of 20%-60% of the posterior error variance as compared to the BLUE, specially for extreme values of the innovations.     

Reconstructing the Adjusted Census for Florida: A Case Study in Data Examination

Abstract

This article is a case study in the value of close examination of available data when one is attempting to make inferences. The article is also an example of what can be done to reconstruct government files when data have been concealed, whether for administrative or political reasons, as here, or to preserve confidentiality. The various methods currently used are under review by a panel under the aegis of the Committee on National Statistics of the National Research Council. The upshot of our work is that even suppressing half of the microlevel data in a file need not daunt a determined and reasonably adroit reconstructor equipped with modern computers. The particular problem discussed here arose due to a bizarre set of political and legal circumstances, explained in Section 1, whereby the U.S. Department of Commerce released a tape consisting of the adjusted population (cross-classified by age, race, and gender) of half the Census Blocks in the nation, together with certain summary adjusted information. This article concerns techniques used to fill in the other half of the adjusted block data for possible use in reapportionment.     

Nonlinear system identification employing automatic differentiation

An optimization based state and parameter estimation method is presented where the required Jacobian matrix of the cost function is computed via automatic differentiation. Automatic differentiation evaluates the programming code of the cost function and provides exact values of the derivatives. In contrast to numerical differentiation it is not suffering from approximation errors and compared to symbolic differentiation it is more convenient to use, because no closed analytic expressions are required. Furthermore, we demonstrate how to generalize the parameter estimation scheme to delay differential equations, where estimating the delay time requires attention.     

多通道并列数据采集系统中通道增益误差的分析

本文介绍了一种新型的超高速数据采集系统-多通道并列系统,以及多通道并列系统中通道延时误差和通道增益误差,通过分析通道增益误差对数据采集系统的影响,提出了为消除多通道并列系统中通道增益误差的理论依据.     

弱小目标空间坐标测量中的目标检测识别方法

针对弱小目标空间坐标测量系统中的目标检测与识别,提出了一系列提高系统捕获率的方法.该方法根据图像与目标特性,采用改善背景图像质量、判别目标成像特性和设置成像时间窗口来获得目标识别和交汇数据,最后对识别交汇结果进行反演来提高系统弱小目标检测识别能力从而最终获得较高捕获率.试验表明这些方法对于提高系统捕获率是有效的.     

Segmented Frequency-domain Fluorescence Lifetime Measurements: Minimizing the Effects of Photobleaching Within a Multi-component System

This study introduces a newly developed frequency segmentation and recombination method for frequency-domain fluorescence lifetime measurements to address the effects of changing fractional contributions over time and minimize the effects of photobleaching within multi-component systems. Frequency segmentation and recombination experiments were evaluated using a two component system consisting of fluorescein and rhodamine B. Comparison of experimental data collected in traditional and segmented fashion with simulated data, generated using different changing fractional contributions, demonstrated the validity of the technique. Frequency segmentation and recombination was also applied to a more complex system consisting of pyrene with Suwannee River fulvic acid reference and was shown to improve recovered lifetimes and fractional intensity contributions. It was observed that photobleaching in both systems led to errors in recovered lifetimes which can complicate the interpretation of lifetime results. Results showed clear evidence that the frequency segmentation and recombination method reduced errors resulting from a changing fractional contribution in a multi-component system, and allowed photobleaching issues to be addressed by commercially available instrumentation. Electronic supplementary material The online version of this article doi: contains supplementary material, which is available to authorized users.     

积分方法处理多体微扰计算中无穷项求和问题

在多体微扰计算中,二级以上微扰展开会得到无穷级数.本文将计算得到的有限级数项进行数据拟合,利用所得到的函数形式对余项进行了积分处理.以计算氦原子1snd组态1D-3D能级分裂为例,利用最小二乘法,给出了一种有效的拟合函数形式以及合理的余项处理结果.     

基于小波变换和数据融合技术的弱小目标检测

 鉴于弱小目标检测所固有的难点及常用的单一分辨率下的检测方法还不能准确稳定地检测出目标，提出了一种弱小目标检测新方法。考虑到实际应用中的复杂背景和大量干扰噪声，运用数据融合技术，先对图像进行小波多分辨率分解，然后将不同分辨率下的子图进行最优加权平均融合来检测弱小目标。用实地拍摄的空中弱小目标红外和可见光图像分别进行实验验证，实验图像取256×256像素点阵大小，其中目标占10×10像素左右。结果表明该方法能够准确稳定地检测弱小目标，为后续的跟踪作了很好的铺垫。     

用于合肥光源200 MeV直线加速器束流位置测量的信号处理系统

 合肥光源(Hefei Light Source,HLS)200 MeV直线加速器的束流横向位置是一个重要的运行参数,直接决定注入的效率,为此新开发了一种非拦截型、高精度、易于将测量结果数字化的条带电极束流位置测量系统（beam position monitor, BPM）,该系统由条带电极和信号处理系统组成。信号处理系统选用对数比的信号处理方法,由带通滤波器（BPF）、对数检波模块、信号放大器、模数转换模块和上位机组成。带通滤波器选用中心频率为2.856 GHz、带宽为10 MHz的腔体滤波器,对数检波模块采用对数放大器AD8313芯片,模数转换模块采用NI公司的PXI-5102,上位机的数据采集程序采用Labview编写。本系统有效地采用了虚拟仪器（VI）的技术,具有模块化、开放性、易于交互、可扩展的特点,测试结果表明,其分辨率达到0.1 mm,符合设计要求。