综合改进奇异谱分解和奇异值分解的齿轮故障特征提取方法

针对齿轮故障特征微弱，在强背景噪声下难以有效提取的问题，提出了一种改进奇异谱分解（ISSD）结合奇异值分解（SVD）的齿轮故障特征提取方法。针对奇异谱分解（SSD）算法中模态参数需凭经验选取的缺陷，基于散布熵优化算法对SSD算法进行了改进，在得到既定的一组奇异谱分量的基础上，根据峭度值最大准则筛选出了最佳奇异谱分量并进行了SVD处理，采用奇异值能量标准谱自适应地确定了信号重构阶数以还原信号和提高降噪效果。最后对信号进行包络解调以提取齿轮故障特征，将所提方法运用到仿真信号和齿轮实测信号中，并同传统包络谱、SSD包络谱以及经验模态分解结合SVD(EMD-SVD)方法进行了对比分析，结果表明，所提方法的降噪和特征提取效果更佳，能够更加有效地实现齿轮故障的判别。     

Pseudoinverse in clustering problems

The clustering of vector observations of hyperplanes is studied. Different cases of correspondence distances are proposed and investigated, including the algebraic Jack Knife one. The efficiency, constructivity, and explicit form of formulas are provided by using the pseudoinverse technique including the pseudoinverse-perturbation theory. Results important for the application of pseudoinverse and related operators are presented. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 73–92, July–August 2007.     

Blind estimation of the PN sequence in lower SNR DS-SS signals with residual carrier

This paper presents a method of singular value decomposition (SVD) plus digital phase lock loop (DPLL) to solve the difficult problem of blind pseudo-noise (PN) sequence estimation in low signal to noise ratios (SNR) direct sequence spread spectrum (DS-SS, DS) signals with residual carrier. Of course, the method needs to know the parameters of DS signal, such as the period and code rate of PN sequence. Firstly, the received signal is sampled and divided into non-overlapping signal vectors according to a temporal window, whose duration is two periods of PN sequence. Then, an autocorrelation matrix is computed and accumulated by the signal vectors one by one. The PN sequence with residual carrier can be estimated by the principal eigenvector of this autocorrelation matrix. Furthermore, a DPLL is used to deal with the estimated PN sequence with residual carrier, it estimates and tracks the residual carrier, removes the residual carrier in the end. Theory analysis and computer simulation results show that this method can effectively realize the PN sequence estimation from the input DS signals with residual carrier in lower SNR.     

基于Tau域奇异值分解的航空电磁数据解卷积计算

目前很多国际先进公司的AEM系统都具有不同的发射波形,给后续数据处理带来不便。为去除不同发射电流波形对电磁数据响应的影响,利用SVD分解法,以e指数为基函数,将时域航空电磁响应数据展开成Tau域参数T_i及其系数A_i形式,通过选取有效个数的Tau值,将基函数与发射电流进行卷积,形成新基底函数。通过对相应发射电流的响应以新基底展开,将新基底系数B_i与原基底结合,实现解卷积计算,得到阶跃波形发射电流情况下的电磁响应。仿真实例计算结果表明,经奇异值分解的Tau域分解方法保证了计算的精度和稳定性,基于奇异值分解的解卷积计算方法能够获得原阶跃电流响应,相对误差为1.61%。     

双重保护的半盲彩色数字水印算法

研究了一种基于DWT与SVD相结合的半盲彩色数字水印算法,鉴于嵌入水印的实用性,原始图像与水印图像采用的都是彩色图像。在置乱变换系数和半盲水印的双重保护下,提高了水印的安全性,奇异值分解对常见的几何失真是稳健的,而小波分解可以把图像的主要能量集中到低频域中,结合它们的优点可以更好地提高水印的抗攻击性。实验结果表明,嵌入水印后的图像在加噪、滤波(如模糊、锐化)、缩放、旋转、剪切和有损压缩等攻击后,其提取水印与原始水印仍有较高的相似度与峰值信噪比,该算法具有较好的鲁棒性。     

个性化搜索引擎推荐算法研究*

将个性化引入搜索引擎出现了稀疏性、精确性、扩展性等新问题。针对以上问题,提出了一种基于SVD（单值分解）影响集的协作过滤推荐算法,在利用矩阵相关技术以及扩大影响的基础上,将用户潜在感兴趣的资源推荐给用户。实验表明,该算法可有效解决以上存在的问题,显著提高个性化系统的推荐质量。     

Adaptability evaluation of transportation system and urban development

Sixty indexes, ranging from social development and economy increasing to ecological protection and transportation system construction, are chosen to construct an index system of adaptability evaluation on transportation system and urban development. A synthesis model with nonlinear characteristic is proposed, and the corresponding procedure is presented based on an improved AHP model, which utilizes the SVD method to improve the required precision of matrix with acceptable consistency weight and detect and amend the significant elements via distance and proximity so as to improve the whole consistency. Taking Shandong Province for the case study, experimental results indicate that the adaptability degree of the system is in an increasing state, which provides robust and effective support for decision-makers working on a range of problems and in various circumstances.     

基于小波变换和奇异值分解的数字水印算法

数字水印技术是一种新的数字媒体保护措施,它是将特定的信息嵌入到图像、语音、视频及文本文件等各种数字媒体中,以达到标识、注释及版权保护等目的.本文提出一种基于DWT和SVD相结合的数字水印算法,首先对混沌置乱后的水印奇异值分解,然后将水印的奇异值嵌入到原始图像的小波变换系数中.实验结果显示:其对一般的常见攻击和几何攻击等均具有良好的鲁棒性.     

基于DDWT的复合型数字图像水印算法

提出了一种鲁棒性数字水印和脆弱性数字水印相结合的复合式水印算法,具有较好的双重保护性能,即用于版权认证方面的鲁棒性数字水印和用于图像内容保护的脆弱性数字水印.首先,对原始图像进行DDWT和SVD变换在频域中嵌入鲁棒性数字水印;然后,在空域中嵌入脆弱性数字水印.仿真实验表明,该算法具有很好的应用前景.