紧支撑多元向量值小波包的正交性

给出数量矩阵mIr(2≤m∈Z)伸缩的多元向量值小波包的定义及其构造方法.运用代数学理论,算子理论与时频分析方法,讨论多元向量值小波包的正交性,得到多元向量值小波包的正交公式.     

二元向量值多重小波包的双正交性质研究

给出了数量矩阵伸缩的二元向量值多重小波包的定义.运用傅立叶变换与积分变换,讨论了它们的双正交性,得到关于二元向量值多重小波包的双正交公式.     

多小波变换及统计特性分析

分析和讨论了多小波滤波器变换方法及其变换域的统计分布.变换分析表明,预滤波及平衡矩阵滤波器组在进行水平及垂直方向分解时,能够将低频与高频信号变换到对应的低、高频子带内,而普通矩阵滤波器组却不能,不适合用于信号压缩的场合;统计结果显示,对光滑性较好的Lenna图像,无论是对高频子带还是次高频子带,Bi9/7小波具有最佳的分布,但对纹理较多的复杂图像Barbara,多小波变换则有较优的统计分布.     

多小波变换零树图像编码方法研究

研究多小波变换零树图像编码的性能。在标量零树方面,通过对图象多小波系数的重新排列,提出了新的多小波系数树的定义,并由实验证明它比直接采用单小波零树的组织更为有效;在矢量零树方面,根据多小波变换处理的矢量信号这一特点,提出了矢量四叉树的数据结果,并从最优率失真意义上设计了矢量量化的多小波零树编码方案,结果表明,在该方案下,多小波比优选的9－7单小波具有更好的压缩性能。     

基于多小波的SAR图像去噪与压缩

SAR图像固有的乘性相干斑噪声降低了图像的相关性,增加了信息熵,影响了图像压缩的性能.多小波能够同时拥有正交性、紧支性和对称性,比单小波具有更多的自由度.因此提出了在多小波域进行去噪和压缩相结合的SAR图像编码算法.首先对图像进行多小波变换,采用改进的软阈值法抑制相干斑噪声同时对图像边缘进行保护,再对多小波系数重排建立空间方向树,然后采用多级树集合划分(SPIHT)算法进行编码.实验结果表明,该算法改进了重建SAR图像的PSNR,同时对相干斑噪声进行了有效的抑制.     

基于多小波域对比度的图像融合算法

针对多小渡理论在图像处理领域的应用,给出了多小波域中图像的方向对比度的定义,并提出了基于多小波变换的、使用方向对比度进行自适应加权平均融合和选择性融合的算法.该算法利用多小渡变换对原图像进行分解,根据得到的分解系数计算相应的对比度,然后建立基于对比度的融合规则.使用这些算法对多谱图像进行了融合实验,并给出了评价融合质量的对比结果.结果表明,基于多小波变换的方向对比度的图像融舍算法在保留图像细节信息、增加信息量方面都有明显的提高.     

DENOISING AND HARMONIC DETECTION USING NONORTHOGONAL WAVELET PACKETS IN INDUSTRIAL APPLICATIONS

New industrial applications call for new methods and new ideas in signal analysis. Wavelet packets are new tools in industrial applications and they have just recently appeared in projects and patents. In training neural networks, for the sake of dimensionality and of ratio of time, compact information is needed. This paper deals with simultaneous noise suppression and signal compression of quasi-harmonic signals. A quasi-harmonic signal is a signal with one dominant harmonic and some more sub harmonics in superposition. Such signals often occur in rail vehicle systems, in which noisy signals are present. Typically, they are signals which come from rail overhead power lines and are generated by intermodulation phenomena and radio interferences. An important task is to monitor and recognize them. This paper proposes an algorithm to differentiate discrete signals from their noisy observations using a library of nonorthonormal bases. The algorithm combines the shrinkage technique and techniques in regression analysis using Shannon Entropy function and Cross Entropy function to select the best discernable bases. Cosine and sine wavelet bases in wavelet packets are used. The algorithm is totally general and can be used in many industrial applications. The effectiveness of the proposed method consists of using as few as possible samples of the measured signal and in the meantime highlighting the difference between the noise and the desired signal. The problem is a difficult one, but well posed. In fact, compression reduces the level of the measured noise and undesired signals but introduces the well known compression noise. The goal is to extract a coherent signal from the measured signal which will be “well represented” by suitable waveforms and a noisy signal or incoherent signal which cannot be “compressed well” by the waveforms. Recursive residual iterations with cosine and sine bases allow the extraction of elements of the required signal and the noise. The algorithm that has been developed is utilized as a filter to extract features for training neural networks. It is currently integrated in the inferential modelling platform of the unit for Advanced Control and Simulation Solutions within ABB’s industry division. An application using real measured data from an electrical railway line is presented to illustrate and analyze the effectiveness of the proposed method. Another industrial application in fault detection, in which coherent and incoherent signals are univocally visible, is also shown.     

IPv4向IPv6迁移的过渡策略

随着Internet的发展，IPv4的问题逐渐显露出来，IETF开发的IPv6基本能解决这些问题，所以从IPv4向IPv6过渡已成为必然，这里论述了IPv4的局限性及IPv6的提出，介绍了IPv6协议的特点，给出了IPv6过渡的策略，尤其是隧道技术。     

多元多重向量值正交小波包的性质

推广了多元正交小波包的概念,给出了多元多重向量值正交小波包的定义及其构造方法.讨论了这种向量值小波包的性质,由此得到空间L2(Rn,Cr×r)的一组新的正交基.     

改进的混合级联遗传算法

将模拟退火算法和级联遗传算法相结合,提出了一种改进的混合级联遗传算法。模拟退火算法承认物种进化过程中的局部失败和倒退,它允许进化中的波折而不是非要物种进化一直是上升的、成功的,模拟退火算法能使搜索过程避免陷入局部最优解。级联遗传算法假设问题的最优解总是靠近于问题的局部最优解的,据此,级联遗传算法通过不断缩小解空间达到快速收敛的目的。综合运用这两种算法,可克服模拟退火算法收敛速度慢、级联遗传算法局部搜索能力差的缺点。利用本算法构造CL多小波前置滤波器的实验结果表明,本算法不仅计算速度快,而且稳定性也得到了显著提高。