基于Haar小波变换的无失真图像压缩

提出了一种利用Ｈａａｒ小波进行图像无失真压缩的算法。对线性预测后的图像进行Ｈａａｒ小波分解，将各子带小波系数根据大小分解成两部分，其位置信息分别通过自适应算术编码进行了有效的压缩。试验结果表明，该算法实现简单，达到了很好的压缩效果。     

小波变换图像压码延拓匹配与变换系数研究

研究了延拓匹配,证明了小波变换图像压码中采用Ｄａｕｂ滤波器时,周期延拓比对称延拓在结构上能更好地对滤波器进行匹配;对小波变换域样本场的统计特性和游程概率进行了分析,并在此基础上实现了高压缩比和高信噪比的图像压缩。     

Linear and nonlinear causality tests in an LSTAR model: wavelet decomposition in a nonlinear environment

In this paper, we use simulated data to investigate the power of different causality tests in a two-dimensional vector autoregressive (VAR) model. The data are presented in a nonlinear environment that is modelled using a logistic smooth transition autoregressive function. We use both linear and nonlinear causality tests to investigate the unidirection causality relationship and compare the power of these tests. The linear test is the commonly used Granger causality F test. The nonlinear test is a non-parametric test based on Baek and Brock [A general test for non-linear Granger causality: Bivariate model. Tech. Rep., Iowa State University and University of Wisconsin, Madison, WI, 1992] and Hiemstra and Jones [Testing for linear and non-linear Granger causality in the stock price–volume relation, J. Finance 49(5) (1994), pp. 1639–1664]. When implementing the nonlinear test, we use separately the original data, the linear VAR filtered residuals, and the wavelet decomposed series based on wavelet multiresolution analysis. The VAR filtered residuals and the wavelet decomposition series are used to extract the nonlinear structure of the original data. The simulation results show that the non-parametric test based on the wavelet decomposition series (which is a model-free approach) has the highest power to explore the causality relationship in nonlinear models.     

数字HDTV可分级信源编码的双尺度小波实现

根据全数字ＨＤＴＶ信源编码可分级性的要求，提出了一种基于小波分解的分级实现方案。同传统的小波分解有所不同，该方案在水平、垂直方向上进行低、高分辨率为３：１的双尺度分解，它利用了正交镜像滤波器优良的混叠抵消特性。理论分析及实验结果表明，该方案是一种优良的ＨＤＴＶ分级技术。     

基于多分辨率分析和改进离散余弦变换的音频水印算法

提出了一种基于多分辨率分析的音频水印算法.首先通过对音频信号进行小波分解得到信号的时变低频分量,然后通过扩频和改进离散余弦变换将水印信息分散嵌入低频分量;最后通过误差修正获得较高的水印提取准确率.该算法增大了水印信号的嵌入量,在保证水印安全性和隐蔽性的同时,对常见的信号处理还具有较好的鲁棒性.     

A wavelet-based time-varying autoregressive model for non-stationary and irregular time series

In this work we propose an autoregressive model with parameters varying in time applied to irregularly spaced non-stationary time series. We expand all the functional parameters in a wavelet basis and estimate the coefficients by least squares after truncation at a suitable resolution level. We also present some simulations in order to evaluate both the estimation method and the model behavior on finite samples. Applications to silicates and nitrites irregularly observed data are provided as well.     

随机过程多尺度分析与一类算子表示

本文分析了二阶矩过程多尺度分析,给出了定义及一些性质,利用算子方法分析过程的小波展开问题.     

A flexible family of density functions

The aim of this paper is to define a new family of probability density functions (MR pdf) based on the multiresolution analysis theory. Each function of this family can be seen as a particular type of density mixture.The MR pdf has advantages with regards to estimation over conventional mixtures and it is suitable to model a large variety of square integrable probability density functions.     

Image processing through multiscale analysis and measurement noise modeling

We describe a range of powerful multiscale analysis methods. We also focus on the pivotal issue of measurement noise in the physical sciences. From multiscale analysis and noise modeling, we develop a comprehensive methodology for data analysis of 2D images, 1D signals (or spectra), and point pattern data. Noise modeling is based on the following: (i) multiscale transforms, including wavelet transforms; (ii) a data structure termed the multiresolution support; and (iii) multiple scale significance testing. The latter two aspects serve to characterize signal with respect to noise. The data analysis objectives we deal with include noise filtering and scale decomposition for visualization or feature detection.     

纹理SAR图像的多分辨率分析和分类(英文)

应用小波变换研究纹理合成孔径雷达（ＳＡＲ）图像的多分辨率分析和分类，首先应用树状结构的小波变换算法对一幅纹理ＳＡＲ图像进行多分辨率分解，并对图像中的不同纹理类型进行定量分析，然后将金字塔结构的小波变换算法应用到图像的多分辨率分类，所得结果证明了小波变换在纹理ＳＡＲ图像分类中的优越性。