Eight-node conforming straight-side quadrilateral element with high-order completeness (QH8-C1)

A new eight-node conforming quadrilateral element with high-order completeness, denoted as QH8-C1, is proposed in this article. First, expressions for the interpolation displacement function satisfying the requirements for high-order completeness in the global coordinate system are constructed. Second, the displacement function expression in global coordinates is transformed into isoparametric coordinates, and the relationships between the two series of coefficients for the two kinds of displacement function expressions are found. Third, the displacement function expression is modified to satisfy the requirements of nodal freedom and interelement boundary continuity. The key to the new element construction is the derivation of the linear relationship expressions among 12 coefficients of element displacement interpolation polynomials in the global and isoparametric coordinate systems. As a result, the relationship between quadratic completeness and interelement continuity is explicitly given, and a proof of the completeness and the continuity was conducted to theoretically guarantee the validity of the derivation results. Furthermore, in order to verify the correctness of the theoretical work, nine numerical examples were performed. The computation results from these examples demonstrate that QH8-C1 exhibited excellent performance, including high simulation accuracy, fast convergence, insensitivity to mesh distortion, and monotonic convergence.     

Models for circular data from time series spectra

Circular data are those for which the natural support is the unit circle and its toroidal extensions. Numerous constructions have been proposed which can be used to generate models for such data. We propose a new, very general, one based on the normalization of the spectra of complex-valued stationary processes. As illustrations of the new construction's application, we study models for univariate circular data obtained from the spectra of autoregressive moving average models and relate them to existing models in the literature. We also propose and investigate multivariate circular models obtained from the high-order spectra of stationary stochastic processes generated using linear filtering with an autoregressive moving average response function. A new family of distributions for a Markov process on the circle is also introduced. Results for asymptotically optimal inference for dependent observations on the circle are presented which provide a new paradigm for inference with circular models. The application of one of the new families of spectra-generated models is illustrated in an analysis of wind direction data.     

Stochastic response of hysteretic systems

This paper deals with approximate stochastic response of hyseretic structures under white noise excitation, based on It stochastic differential equations. Instead of the original system an equivalent nonlinear system is considered, in which the drift vector is given by a series expansion of the order n 1 in terms of the state variables. n = 1 represents the well-known case of equivalent linearization. Components in the drift vector representing the nonanalytical constitutive equations are replaced by a cubic polynomial expansion. The hierarchy of statistical moment equations is closed by a cumulant neglect closure scheme. The method has been applied to a bilinear single degree-of-freedom system subjected to white noise excitation, for which an equivalent system with a cubic series expansion to the constitutive equation is considered. The results obtained are compared with those of numerical simulation and alternative methods, and they provide substantial improvements compared to equivalent linearization.     

由可见光谱视频中提取心率的对角累积量法

由于使用经典的联合近似特征对角化(JADE)算法从视频中估计光电容积脉搏波(Photoplethysmography,PPG)信号,再经快速傅里叶变换转化成的心率值与真实心率值的误差较大,本文提出使用基于对角累积量算法从视频中分离PPG信号,再经过快速傅里叶变换转换成心率的方法来提高心率测量的准确性。进行了从RGB彩色可见光视频信号中恢复心率值的实验。对比实验表明,基于对角累积量分离算法所得心率值与真实心率值差的绝对值的统计特征参数较JADE算法均有所降低,均值、标准差、均方根误差平均分别下降1.46,4.98和4.49。通过Bland-Altman图的分析表明,在95%的置信区间内,对角累积量算法所得心率的浮动范围较JADE算法减小了2倍以上,显示对角累积量算法具有更高的估计精度,对肤色亮度和外界自然光的要求更低,通过调整参数值,可使运行时间控制在1s之内,基本满足实时提取心率的要求。     

Turbo编码类型的盲识别方法

提出一种有效的识别方法,解决了Turbo编码类型的盲识别问题。首先,在理论分析Turbo码固有结构的基础上,通过特定的拆分和组合方式从Turbo编码序列中获取一路递归系统卷积码,和二路线性分组码,从而根据此特性利用秩统计的方法实现Turbo码的判别;然后对递归系统卷积码输出数据进行差分运算,推导出差分后结果仅与寄存器中存放的数据有关,因此通过一阶累积量的方法可以准确获取归零状态的位置,从而实现对Turbo码的归零特性判别。仿真结果表明:该方法能够实现对Turbo编码类型的识别,且具有较好的容错性能,最后也验证了该方法在较高误码条件下具有较好的识别效果。     

Modeling heterogeneous bacterial populations exposed to antibiotics: The logistic‐dynamics case

In typical in vitro tests for clinical use or development of antibiotics, samples from a bacterial population are exposed to an antibiotic at various concentrations. The resulting data can then be used to build a mathematical model suitable for dosing regimen design or for further development. For bacterial populations that include resistant subpopulations—an issue that has reached alarming proportions—building such a model is challenging. In prior work, we developed a related modeling framework for such heterogeneous bacterial populations following linear dynamics when exposed to an antibiotic. We extend this framework to the case of logistic dynamics, common among strongly resistant bacterial strains. Explicit formulas are developed that can be easily used in parameter estimation and subsequent dosing regimen design under realistic pharmacokinetic conditions. A case study using experimental data from the effect of an antibiotic on a gram‐negative bacterial population exemplifies the usefulness of the proposed approach. © 2015 American Institute of Chemical Engineers AIChE J, 61: 2385–2393, 2015     

通信信号的单通道盲分离和码元序列盲估计

针对被单根天线接收的多个通信信号的单通道盲分离问题,提出了一种新算法.该算法利用各个通信信号的周期性差异和波形差异,应用过采样技术和高阶统计量分析技术来构造适用于独立分量分析的多通道混合模型,从而将多信号盲分离问题转化成波形和码元序列的估计问题.仿真证实了新算法的可行性和优越性.     

基于ANMF和非线性映射距离扩展目标检测

针对距离扩展目标的检测问题,提出一种自适应归一化匹配滤波（ANMF）、非线性映射和高阶互相关积累（HOCC）相结合的目标检测方法。首先将距离像按慢时间进行脉冲维划分,得到若干脉冲子区间,再对每个脉冲子区间进行自适应归一化匹配滤波,然后利用非线性函数对滤波的输出进行非线性映射处理,最后将非线性映射的输出进行高阶互相关积累,从而获得检测统计量。仿真实验结果表明,在检测概率为80％时,所述方法比传统 ANMF 方法所需的信杂比低1 dB 左右,性能较为优越。     

Inverse function,Taylor's expansion and extended Schröder's processes

Based on the Taylor's expansion of an inverse function, we extend the Schröder's process to find and improve high-order fixed-point iteration functions (IFs) for solving a nonlinear equation. We illustrate the extended processes by using them to find better iterative methods to compute the nth root and the logarithm of a strictly positive real number. IFs for inverse trigonometric function evaluations are also considered.