指标-2微分-代数系统的连续扩展Runge-Kutta迭代方法

1引言微分-代数系统包括具有约束条件的微分方程和奇异隐式微分方程,在实际应用中,如:约束力学系统、流体动力学、化学反应动力学、电子网络模拟、控制工程和机器人技术等领域就产生了诸多问题需要求解．近年来,微分-代数系统已极大地引起了许多工程师和数学工作者的关注,开展了众多相关问题的探讨,提出了许多新的算法理论[1-3]．在本文中我们对指标-2的微分-代数方程利用Runge-Kutta方法进行时间的离散和动力学迭代,研究离散迭代系统的收敛性．     

一种用于核磁共振的脉冲场梯度单元

给出一种用于核磁共振谱仪的脉冲场梯度单元的详细设计. 它具有结构简洁、性能良好以及成本低廉等特点. 该单元只需外部设备提供两条TTL触发线即可产生任意波形的梯度脉冲，因此可以方便地与商用核磁共振仪器配套使用.     

Analysis of Vocal-fold Vibrations from High-Speed Laryngeal Images Using a Hilbert Transform-Based Methodology

This paper presents a Hilbert transform-based approach to analyze vocal fold vibrations in human subjects exhibiting normal and abnormal voice productions. This new approach is applied to the analysis of glottal area waveform (GAW) and is capable of providing useful information on the vocal fold vibration. The GAW is extracted from high-speed laryngeal images by delineating the glottal edge for each image frame. An analytic signal is generated through the Hilbert transform of the GAW, which yields a recognizable pattern of the vocal fold vibration in the analytic phase plane. The vibratory pattern is comprehensive and can be correlated with specific voice conditions. Quantitative measures of the glottal perturbation are introduced using the analytic amplitude and instantaneous frequency obtained from the analysis. Examples of clinical voice recordings are used to evaluate and test the effectiveness of this approach in providing qualitative representation and quantitative characteristics of vocal fold vibratory behavior. The results demonstrate the potential of using this new analytical tool incorporated with the high-speed laryngeal imaging modality for clinical voice assessment.     

倍频式振动合成信号源研制

利用倍频电路产生十路不同频率的相干信号，通过滤波、移相、幅度调整、加法器、乘法器等电路可实现用多路正弦信号做波形合成、两路信号的同向振动合成，李萨茹图形、调幅波等实验及演示。     

利用紫外光离子源高场不对称波形离子迁移谱快速、现场检测水中氨的含量

氨是水体主要的污染物之一,其含量是水质评估的重要参数。本研究采用真空紫外光离子源-高场不对称波形离子迁移谱(Ultraviolet photoionization high field asymmetric waveform ion mobility spectrometry, UVFAIMS)技术,发展一种的水中氨含量的现场快速检测方法。通过对比标准氨样品和水中微量氨UV-FAIMS 谱图峰的特征补偿电压(Compensation voltage, CV)值,确定了水中HN+4的特征离子峰位置;研究了不同分离电压(Dispersion voltages, DV)下HN+4谱图峰位置的关系,获得了HN+4的特征识别系数α2和α4分别为2.21×10-5 Td-2和-1.45323×10-9 Td-4;通过不同浓度样品的信号响应,研究了UV-FAIMS 对水中氨的检出限,在信噪比为3的情况下达到了9.2 μg/ L。本研究为水中氨现场检测提供了一种快速、无需前处理的技术手段。     

Improved liquid chromatography combined with pulsed electrochemical detection for the analysis of etimicin sulfate

This paper describes an improved liquid chromatography method combined with pulsed electrochemical detection for the analysis of etimicin sulfate. In total, 22 impurities could be separated. A TSK‐GEL C₁₈ column (250 mm × 4.6 mm i.d., 5 μm) is used, and the mobile phase is composed of 40 mL of acetonitrile and 960 mL of an aqueous solution containing trifluoroacetic acid (15 mL/L), pentafluoropropionic acid (500 μL/L), 50% sodium hydroxide (8 mL/L) and sodium sulfate (1.5 g/L). The pH of the aqueous solution is adjusted to 3.5 with 0.8 M sodium hydroxide. The influence of the different chromatographic parameters on the separation was investigated. A quadruple potential‐time waveform was applied to the electrodes of the detection cell. 0.8 M sodium hydroxide was added post column to raise the pH to at least 12 before detection. A central composite experimental design was used to describe the relationship between factors and response values and to establish factorial analysis. Compared to previously published investigations, this improved method shows higher sensitivity, better separation ability and robustness and has been incorporated by the Chinese Pharmacopoeia 2015 for analysis of etimicin sulfate. A number of commercial samples of etimicin sulfate were also analyzed using this method.     

Quantitative ultrasound brain imaging with multiscale deconvolutional waveform inversion

High-resolution images of human brain are critical for monitoring the neurological conditions in a portable and safe manner. Sound speed mapping of brain tissues provides unique information for such a purpose. In addition, it is particularly important for building digital human acoustic models, which form a reference for future ultrasound research. Conventional ultrasound modalities can hardly image the human brain at high spatial resolution inside the skull due to the strong impedance contrast between hard tissue and soft tissue. We carry out numerical experiments to demonstrate that the time-domain waveform inversion technique, originating from the geophysics community, is promising to deliver quantitative images of human brains within the skull at a sub-millimeter level by using ultra-sound signals. The successful implementation of such an approach to brain imaging requires the following items: signals of sub-megahertz frequencies transmitting across the inside of skull, an accurate numerical wave equation solver simulating the wave propagation, and well-designed inversion schemes to reconstruct the physical parameters of targeted model based on the optimization theory. Here we propose an innovative modality of multiscale deconvolutional waveform inversion that improves ultrasound imaging resolution, by evaluating the similarity between synthetic data and observed data through using limited length Wiener filter. We implement the proposed approach to iteratively update the parametric models of the human brain. The quantitative imaging method paves the way for building the accurate acoustic brain model to diagnose associated diseases, in a potentially more portable, more dynamic and safer way than magnetic resonance imaging and x-ray computed tomography.     

TEM喇叭短脉冲响应特性与张角的依赖关系

基于传输线理论分析给出了TEM喇叭在高斯脉冲激励下的响应方程,并采用数值计算方法,从响应波形的下降沿拖尾振荡相对基线的浮动量和负峰下冲量的角度研究了在高斯脉冲及其微分形式脉冲激励下,TEM喇叭的响应特性与其张角的依赖关系.基于以单锥TEM室为核心的时域测试系统,实验研究了TEM喇叭的短电磁脉冲响应特性随张角的变化关系,...     

波形松弛算法及其在计算流体力学中的应用

本文介绍求解线性常系数微分代数方程组的波形松弛算法, 基于Laplace积分变换得到该算法新的收敛理论. 进一步将波形松弛算法应用于求解非定常Stokes方程, 介绍并讨论了连续时间波形松弛算法CABSOR算法和离散时间波形松弛算法DABSOR算法.