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.     

一种用于动态电压恢复器的电压跌落检测算法

针对传统的电压跌落d-q检测算法和Hilbert检测算法在补偿快速性和抗干扰性方面存在矛盾的问题,提出了一种将d-q检测算法与Hilbert检测算法相结合的电压跌落检测新算法:对电网侧电压信号采样后,经d-q检测单元得到谐波补偿波形;然后滤除3次谐波,滤波后的信号再经Hilbert检测单元得到电压幅值补偿波形;叠加该2种补偿波形可确定最终的补偿波形。仿真结果表明,该检测算法对于含3次谐波的电压跌落补偿效果较好,兼具补偿快速性和抗干扰能力。     

基于震动信号HHT的车辆分类

震动传感器是智能监控传感器系统的重要组成部分。震动信号是一种非线性非平稳信号。相比于传统的时频分析方法,对希尔伯特-黄变换是一种更有效地处理非平稳信号的时频分析方法。将希尔伯特-黄变换引入到车辆分类中,提取震动信号特征信息,利用经验模态分解(EMD)获得车辆行驶引起的地面震动信号的固有模态函数(IMF),通过选取的固有模态函数得到相应的希尔伯特谱,然后在希尔伯特谱的基础上根据谱峰对车辆进行分类。仿真测试结果表明方法具有很高的正确率。