Hybrid function projective synchronization of chaotic systems with uncertain time-varying parameters via Fourier series expansion

In this paper, the hybrid function projective synchronization (HFPS) of different chaotic systems with uncertain periodically time-varying parameters is carried out by Fourier series expansion and adaptive bounding technique. Fourier series expansion is used to deal with uncertain periodically time-varying parameters. Adaptive bounding technique is used to compensate the bound of truncation errors. Using the Lyapunov stability theory, an adaptive control law and six parameter updating laws are constructed to make the states of two different chaotic systems asymptotically synchronized. The control strategy does not need to know the parameters thoroughly if the time-varying parameters are periodical functions. Finally, in order to verify the effectiveness of the proposed scheme, the HFPS between Lorenz system and Chen system is completed successfully by using this scheme.     

Classification of cardiac sound signals using constrained tunable-Q wavelet transform

The features extracted from the cardiac sound signals are commonly used for detection and identification of heart valve disorders. In this paper, we present a new method for classification of cardiac sound signals using constrained tunable-Q wavelet transform (TQWT). The proposed method begins with a constrained TQWT based segmentation of cardiac sound signals into heart beat cycles. The features obtained from heart beat cycles of separately reconstructed heart sounds and murmur can better represent the various types of cardiac sound signals than that from containing both. Therefore, heart sounds and murmur have been separated using constrained TQWT. Then the proposed novel raw feature set has been created by the parameters that have been optimized while constraining the output of TQWT together with that of extracted by using time-domain representation and Fourier–Bessel (FB) expansion of separated heart sounds and murmur. However, the adaptively selected features have been used to obtain the final feature set for subsequent classification of cardiac sound signals using least squares support vector machine (LS-SVM) with various kernel functions. The performance of the proposed method has been validated with publicly available datasets and the results have been compared with the existing short-time Fourier transform (STFT) based method. The proposed method shows higher percentage classification accuracy of 94.01 as compared to 93.53 of STFT based method. In comparison with STFT based method, it is noteworthy that the proposed method uses well defined and lower dimensionality of feature vector that can reduce the computational complexity.     

基于Fourier矩阵的无线广播重传策略

针对随机网络编码重传的缺陷, 将Fourier矩阵和随机网络编码相结合, 提出一种半固定编码系数的广播重传方案FMWBR。利用广播源节点和接收节点双方已知的Fourier矩阵的行向量作为编/解码向量, 保证接收节点接收到的重传包具有完全可解性。理论分析表明, FMWBR增强了无线传输的安全性、提高了网络的鲁棒性、减少了包头开销。仿真测试结果表明, FMWBR跟其他几种重传策略相比, 有效地减少了平均传输次数, 节省了带宽消耗, 提高了网络吞吐量。     

Separation and identification of phenolic acids and related compounds by gas chromatography and fourier transform infrared spectroscopy

Phenolic acids and related compounds were separated by gas chromatography using three separate columns. One of these columns was coupled to a Fourier transform infrared spectrometer. The trimethylsilyl derivatives could be separated and identified by comparing the relative retention times of the three different columns. However, where there was overlap, the accompanying infrared data clearly distinguished between the questionable derivatives, thus enabling characterization of all derivatives.The use of trade, firm, or corporation names in this article is for the information and convenience of the reader. Such use does not constitute an official endorsement or approval by the U.S. Department of Agriculture or the Forest Service of any product or service to the exclusion of others that may be suitable.     

基于级联迭代傅里叶变换算法的光学安全技术

基于级联迭代傅里叶（CIFT）变换算法提出了一种新的光学图像的加密方法,该方法通过输入和4-F相关的傅里叶域的模糊设计和定位,从而实现光学加密以及真实性验证。与以往的方法有所不同,新算法采用改进的搜索策略：修改两个阶段的同步分布,同时扩大搜索空间。计算机模拟实验表明其快速的收敛算法能够更好地恢复图像的质量,密钥会被分配到不同的方面,用户只有在得到这些密钥的授权之后才能得到解密后的图像,这种密钥分配策略可以极大减少被入侵的风险。     

基于半经典量子傅里叶变换的◢t◣-比特半经典相位估计算法实现

半经典量子傅里叶变换(quantum Fourier transform,QFT)是通过测量计算线路中特定的比特,依据测量结果经过经典信息处理控制下一个比特的变换.利用半经典量子傅里叶变换思想,提出了t-比特半经典量子相位估计算法,并在IBMQ Experience量子云平台、IBMqiskit量子模拟器和国内本源悟源云平台量子模拟器上开展了不同规模的半经典相位估计实验.实验表明,该方法提高了估计精度的同时减少了算法对线路规模和两比特受控门的依赖.     

Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition

In this paper, we derive a high-order compact finite difference scheme for solving the reaction–subdiffusion equation with Neumann boundary value condition. The L1 method is used to approximate the temporal Caputo derivative, and the compact difference operator is applied for spatial discretization. We prove that the compact finite difference method is unconditionally stable and convergent with order O(τ^2?α+h⁴) in L₂ norm, where τ, α, and h are the temporal step size, the order of time fractional derivative and the spatial step size, respectively. Finally, some numerical experiments are carried out to show the effectiveness of the proposed difference scheme.     

灾害中生活类物资的供应分析——以汶川地震重灾区物资供应为例

救灾生活类物资在供应中面临着优化运输路线、降低运输成本、缩短运输时间3个难题。文章采用相关机会多目标规划模型,以汶川地震为例,总结并完善了自然灾害救助中的多物资的协作供应模式,为突发性重大灾害中多物资的协作供应的组织、实施、管理提供参考支持。     

基于迈克尔逊干涉仪的SPR传感器的研究

研究了一种基于迈克尔逊干涉仪干涉成像的新型表面等离子体共振(Surface Plasmon Resonance,SPR)传感器,介绍了系统的构建方法和工作原理。系统以溴钨灯为迈克尔逊干涉仪的光源产生干涉图像,采用Kreschmann棱镜耦合结构激励SPR,由CCD摄像机采集传感芯片干涉图,对干涉图进行信息提取和傅里叶变换得到光谱图,再对光谱图进行分析处理得到SPR曲线。在系统中引入了辅助定标光路,即以一已知波长的单色光(氦氖激光器)作为标尺确定光强随光程差变化的干涉图函数中采样点的选取,降低了使用迈克尔逊干涉仪过程中的转动和传动机械误差。实验结果表明,该传感系统具有成本低、结构简单、操作方便、多通道检测等优点。