小波分析的应用及其MATLAB程序实现

主要介绍几种常用的小波函数及小波分析的特点，在此基础之上又介绍了一维小波、二维小波及小波包的应用，并给出一个用MATLAB程序实现一维小波在信号奇异性检测例子。     

Forecasting container throughput based on wavelet transforms within a decomposition-ensemble methodology: a case study of China

To improve predictive accuracy, new hybrid models are proposed for container throughput forecasting based on wavelet transforms and data characteristic analysis (DCA) within a decomposition-ensemble methodology. Because of the complexity and nonlinearity of the time series of container throughputs at ports, the methodology decomposes the original time series into several components, which are rather simpler sub-sequences. Consequently, difficult forecasting tasks are simplified into a number of relatively easier subtasks. In this way, the proposed hybrid models can improve the accuracy of forecasting significantly. In the methodology, four main steps are involved: data decomposition, component reconstruction based on the DCA, individual prediction for each reconstructed component, and ensemble prediction as the final output. An empirical analysis was conducted for illustration and verification purposes by using time series of container throughputs at three main ports in Bohai Rim, China. The results suggest that the proposed hybrid models are able to forecast better than do other benchmark models. Forecasting may facilitate effective real-time decision making for strategic management and policy drafting. Predictions of container throughput can help port managers make tactical and operational decisions, such as operations planning in ports, the scheduling of port equipment, and route optimization.     

隧道监控量测数据的小波去噪技术探讨

隧道监控量测过程中的数据含有误差和施工扰动,位移曲线出现异常点,不利于位移趋势的判别。运用小波变换和去噪技术,将吉怀高速的关冲隧道的拱顶下沉观测值作为样本,运用Daubech ies小波和Heursure软阈值进行消噪,结果表明可以有效的消除大部分施工扰动造成的异常,并可根据异常点和位移趋势了解噪声的产生原因。     

乔列斯基分解应用于偏相干问题的可行性研究

在应用传统的偏相干方法进行噪声源识别时,计算条件输入和耦合较为繁琐、复杂。文章首先通过对偏相干和乔列斯基分解的分析,得到两者之间的关系;进一步运用数学归纳法,从理论上证明了乔列斯基分解应用于偏相干问题的可行性;然后指出对归一化互谱矩阵进行乔列斯基分解,可直接得到各源的贡献比大小;最后给出了应用乔列斯基分解解决偏相干问题的一般步骤。舱段试验验证了该方法的可行性和实时性。     

基于虚拟装配体绑定的产品层次化装配序列生成

装配是产品制造中的重要环节之一.计算机辅助装配顺序的生成为实施快速、灵活、优化的装配,提高装配质量和效率提供有力的支持.任务层次与分解方法的设计是层次任务网规划方法应用的关键技术.文中提出了一种基于虚拟装配体绑定的底层装配操作实施机制,在此基础上建立了产品装配序列生成的任务分解策略.装配实例表明,该方法在产品装配序列生成中具有建模层次清晰、任务分解策略易于制定、装配序列生成比较灵活的特点.     

基于AOK-TFR的轨道电路故障诊断方法

为弥补现有补偿电容检测方法在检测及时性和检测成本等方面的不足,基于传输线理论,提出了机车信号感应电压幅值包络(IVECS)仿真模型;在此基础上,分析了补偿电容故障对IVECS的影响规律,建立并验证了基于频率的IVECS等效回归模型;利用补偿电容故障位置前后IVECS的频率变化,提出了基于自适应最优核时-频分布的补偿电容故障诊断方法.该方法基于机车信号的实际数据,采用B样条离散二进小波对数据进行滤波降噪处理,并利用自适应最优核时-频分布提取处理结果的时-频信息,再通过检测时-频信息中频率的变化实现对故障电容的定位.经过对随机抽取的100段实际数据的测试,准确率约为92.58%,表明该方法能准确检测轨道电路发生故障的补偿电容位置.     

复杂情况下大规模船队规划模型与求解方法

以某大型航运企业船队为例进行实证分析,利用Benders分解算法对在多航线复杂情况下,由多种类型船舶构成的大规模船队规划问题进行求解,验证所提出的模型及算法对于大规模实际问题的应用效果.结果表明,该方法实现了多航线、多型船、大规模混合整数船队规划问题的优化求解,能够为大型航运企业进行船队规划决策提供支持.     

基于小波包频带包络分析的船用锚机电动机转子断条在线检测方法

船用三速锚机工作条件恶劣,电动机转子故障是电动锚机系统的常见故障之一.转子故障在线分析中必须考虑电动机实际运行和检测条件.文章在理论分析、仿真的基础上,提出了基于小波包分解和希尔伯特包络频谱分析的电动机转子断条在线检测方法.仿真和诊断实例表明该方法不仅可以抑制干扰因素的影响,有效提取故障特征量并实现故障准确诊断,而且能够反映负载波动的时刻和频率波动的范围,是一种切实可行的在线诊断方法.     

A theoretical foundation for the relationship between generalized origin–destination matrix and flow matrix based on ordinal graph trajectories

This paper shows the relationship between flow, generalized origin–destination (OD), and alternative route flow from a set of ordinal graph trajectories. In contrast to traffic assignment methods that employ OD matrix to produce flow matrix, we use ordinal trajectory on a network graph as input and produce both the generalized OD matrix and the flow matrix, with the alternative and substitute route flow matrices as additional outputs. By using linear algebra‐like operations on matrix sets, the relationship between network utilization (in terms of flow, generalized OD, alternative route flow, and desire line) and network structure (in terms of distance matrix and adjacency matrix) are derived. Copyright © 2012 John Wiley & Sons, Ltd.     

关于一类二阶共轭矩阵方程的解

考虑一类二阶共轭矩阵方程 B*X*AXB+B*X*C+C*XB+D=O 其中，B∈Cp×m，A∈n×n，C∈Cn×m，D∈Cm×m，在A＞O及A≥O，C或B为列满秩阵两种情况 下，此方程可解的充分必要条件，并在有解的情况下，给出了通解的显式表示。