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     

基于细菌群体趋药性的有序盲信号分离算法

提出了一种基于细菌趋药性的细菌群优化算法。将探测判断策略和优势细菌随机扰动策略引入细菌群体的进化过程,解决了细菌个体在进化后期处于随机摄动状态而难以定位于全局最优位置的问题。通过使用测试函数对算法性能进行测试以及同其他算法的比较表明,所提出的算法在收敛速度和求解质量方面均有很好的性能。进一步将细菌群优化算法应用于解决盲信号分离问题,实现了对源信号的逐一有序盲分离。仿真实验表明,基于细菌群优化算法的盲信号分离算法具有很好的分离效果,可以将源信号按照其规范四阶累积量绝对值的降序进行有效分离。     

基于四阶累积张量方法的欠定盲源信号分离

针对瞬时欠定盲源信号分离问题,提出一种四阶累积张量分解算法.首先构建观察信号四阶累积协方差,依据源信号具有相互独立且均值为零的性质,对累积协方差化简并扩展到张量域,得到四阶累积张量.采用分层交替最小二乘算法对四阶累积张量进行非负库克分解,求得非负库克模型的参数,同时获得非负混合矩阵并求其伪逆,最终估计出源信号.选用真实的语音信号和生物信号进行仿真实验,结果表明该方法提高了源信号和非负混合矩阵的估计性能.     

Families of Newton-like methods with fourth-order convergence

Families of fourth-order methods are presented which are obtained by existing third-order methods applied in succession with the secant method.     

FREQUENCY DOMAIN TESTS OF MULTIVARIATE GAUSSIANITY AND LINEARITY

A stationary multivariate time series { X _t } is defined as linear if it can be written in the form X _t = ∑^∞ _{j =−∞} A _j e _{t − j} where A _j are square matrices and e _t are independent and identically distributed random vectors. If the e _t } are normally distributed, then { X _t is a multivariate Gaussian linear process. This paper is concerned with the testing of departures of a vector stationary process from multivariate Gaussianity and linearity using the bispectral approach. First the definition and properties of cumulants of random matrices are used to obtain the expressions for the higher-order cumulant and spectral vectors of a linear vector process as defined above. Then it is shown that linearity of a vector process implies constancy of the modulus square of its normalized higher-order spectra whereas the component of such a vector process does not necessarily have a linear representation. Finally, statistics for the testing of multivariate Gaussianity and linearity are proposed.     

基于语音质量参数的语音传输信道检测算法

针对不同编码算法对语音质量的影响,采用语音质量改进参数构造特征矢量,提出了一种基于SVM多级判决的语音编码检测算法,实现了对不同信道的识别。采用统计方法对这组参数的区分性进行了分析,在此基础上设计了一种高效的信道检测方案,结合实际数据,测试了算法性能,并分析了语音长度对性能的影响。实验结果表明,该算法能有效地提高信道检测准确率。     

核Fisher判别分析在数字信号分类中的应用

为了提高通信信号的识别精度,提出了一种基于核Fisher判别分析(KFDA)的数字调制信号分类器设计方法.将接收信号的高阶累积量作为分类特征向量,利用核函数的思想把非线性向量映射到一个高维空间,并在高维空间中利用线性Fisher判别分析实现数字信号的分类.将多类分类器分解成一系列二类问题,并给出了KFDA用于信号分类的详细流程.仿真实验结果表明,当选择合适的核参数时,基于KFDA的分类精度与支持向量机相当,但由于避免了求解非线性优化问题,故计算复杂度低,训练时间短.