应用时频分析方法辨识时变系统的模态参数

应用Gabor展开及Hilbert变换进行时变线性系统模态参数的辨识。利用非平稳信号的Gabor变换将结构响应信号表示在时频面上，并通过Gabor展开重构分离模态分量，建立每一阶模态的时变线性模型。对单模态时变线性模型应用Hilbert变换来辨识随时间变化的模态频率和阻尼。通过对刚度和阻尼慢变的两自由度系统模态参数的仿真辨识验证辨识方法的有效性。仿真结果表明：本文方法为时变线性系统的模态参数辨识提供了一条新的途径。     

A stochastic realization algorithm via block LQ decomposition in Hilbert space

A stochastic realization problem of a stationary stochastic process is re-visited, and a new stochastically balanced realization algorithm is derived in a Hilbert space generated by second-order stationary processes. The present algorithm computes a stochastically balanced realization by means of the singular value decomposition of a weighted block Hankel matrix derived by a “block LQ decomposition”. Extension to a stochastic subspace identification method explains how the proposed abstract algorithm is implemented in system identification.     

基于能量谱相似度自适应聚类的配电网接地故障区段定位方法

分析谐振接地系统发生单相接地故障时各区段故障暂态零序电流的相似性特征,提出基于故障暂态零序电流Hilbert瞬时能量谱相似性自适应仿射传播聚类(adAP)的故障区段定位方法.所提方法对故障后首半个工频周期的故障线路各区段的故障暂态零序电流进行局部特征尺度分解(LCD),对得到的各频带波形进行Hilbert变换得到Hilbert瞬时能量谱.计算Hilbert瞬时能量谱两两间的动态时间弯曲距离,对动态时间弯曲距离构成的相似度矩阵进行adAP,根据Silhouette指标最高的聚类情况定位故障区段.在电弧故障、存在分布式消弧线圈系统、不同消弧线圈补偿度系统、噪声干扰、两点接地、采样不同步的场景下的仿真结果和现场数据验证结果表明,所提方法能克服工程应用中可能存在的影响,鲁棒性好、准确度高.     

多标记分类和标记相关性的联合学习

提出了多标记分类和标记相关性的联合学习(JMLLC),在JMLLC中,构建了基于类别标记变量的有向条件依赖网络,这样不仅使得标记分类器之间可以联合学习,从而增强各个标记分类器的学习效果,而且标记分类器和标记相关性可以联合学习,从而使得学习得到的标记相关性更为准确.通过采用两种不同的损失函数:logistic回归和最小二乘,分别提出了JMLLC-LR(JMLLC with logistic regression)和JMLLC-LS(JMLLC with least squares),并都拓展到再生核希尔伯特空间中.最后采用交替求解的方法求解JMLLC-LR和JMLLC-LS.在20个基准数据集上基于5种不同的评价准则的实验结果表明,JMLLC优于已提出的多标记学习算法.     

基于Hilbert曲线和位置自调节法的图像版权保护算法

以小波的相关理论为基础,先把水印图像预置乱处理,对宿主图像直接进行小波包分解,之后将水印的低频部分和中高频部分分别采用Hilbert曲线扫描和位置自调节法嵌入到宿主图像中,嵌入强度可根据图像的内容自适应调节。通过实验观察,新算法在抗压缩和抗剪切性能有所提升,同时隐蔽性和抗噪能力也得到了较大改观,结果充分说明该算法是一种性能较为优良的图像版权保护算法。     

PROJECTION MODULUS: A NEW DIRECTION FOR SELECTING SUBSET AUTOREGRESSIVE MODELS

Selecting a parsimonious subset autoregressive time series model is a valuable objective particularly where there is or may be evidence that a time series may have some form of periodic or quasi-periodic behaviour. An efficient model selection procedure is essential because of the large number of possible alternative models involved. The explanation of an increase in residual variance due to excluding a lag is examined in Hilbert space. As a result, a new statistic, the projection modulus , and its derivatives are developed to assess the significance of any lag in a model. The impact of deleting a lag, as measured by these statistics, helps to produce a selection procedure where true lags have less chance of being removed. We then assess an efficient subset autoregressive model selection procedure employing these statistics. The success of the proposed procedure is illustrated by its efficiency in identifying the true model for simulated and real data.     

基于四阶累积量的时延估计新方法

针对无线电定位中的时延估计问题,考虑接收信号为窄带信号以及背景噪声为高斯分布的情况下,将四阶累积量的一维切片作为高阶统计量,结合希尔伯特变换,给出一种新的时延估计方法.该方法对相关峰值进行了锐化处理,提高了估计精度.与广义互相关法相比,该算法可有效抑制空间相关高斯噪声的影响,计算量小,易于实现.仿真结果表明了该方法的有效性.     

基于Hilbert变换的相位测量法与数字相关测相法的比较

介绍了希尔伯特（Hilbert）变换测量相位差和数字相关法测量相位差的原理，进行了比较研究和试验分析，讨论了各自使用效果、优缺点及其适用的场合。结果表明，在动态检测方面，利用Hilbert变换法更能对两路同频信号的相位差进行有效的检测，是今后的研究方向。     

Implementation of Envelope Analysis on a Wireless Condition Monitoring System for Bearing Fault Diagnosis

 Envelope analysis is an effective method for characterizing impulsive vibrations in wired condition monitoring (CM) systems. This paper depicts the implementation of envelope analysis on a wireless sensor node for obtaining a more convenient and reliable CM system. To maintain CM performances under the constraints of resources available in the cost effective Zigbee based wireless sensor network (WSN), a low cost cortex-M4F microcontroller is employed as the core processor to implement the envelope analysis algorithm on the sensor node. The on-chip 12 bit analog-to-digital converter (ADC) working at 10 kHz sampling rate is adopted to acquire vibration signals measured by a wide frequency band piezoelectric accelerometer. The data processing flow inside the processor is optimized to satisfy the large memory usage in implementing fast Fourier transform (FFT) and Hilbert transform (HT). Thus, the envelope spectrum can be computed from a data frame of 2048 points to achieve a frequency resolution acceptable for identifying the characteristic frequencies of different bearing faults. Experimental evaluation results show that the embedded envelope analysis algorithm can successfully diagnose the simulated bearing faults and the data transmission throughput can be reduced by at least 95% per frame compared with that of the raw data, allowing a large number of sensor nodes to be deployed in the network for real time monitoring.