基于小波的信号Lipschitz指数分析和应用

奇异信号往往带有一些重要信息,一般用Lipschitz指数来描述信号的奇异性。在Mallat等人的基础上讨论了奇异信号Lipschitz指数定义和相关理论基础,同时研究了小波变换与信号奇异性关系和Lipschitz指数的计算。利用信号和噪声奇异指数不同的特点应用于去噪声,文中提出了一种对噪声模极大值对应点周围的小波系数进行非线性压缩后重构信号新方法,仿真实验结果表明,这种方法有着较好的去噪效果。     

用小波变换的模极大值提取调制信号频率

利用小波变换系数的模值与信号奇异性指数之间的关系,从调频信号中提取出调制信号的频率.其方法是:对调频信号进行小波变换,取适当尺度上的小波系数进行平方,得到小波变换模极大值的分布曲线,对该曲线进行小波强制滤波,得到反映调制信号频率的光滑曲线,计算该曲线的频率,即可得调制信号的频率.经过计算机仿真,证明该方法是可行的.     

模极大值降噪法在信号降噪中的应用

利用信号与噪声奇异点Lipschitz指数的区别,以及反映在其小波变换模极大值曲线上的特点,应用小波变换模极大值降噪法,对含有带限高斯白噪声的数字通信信号进行了降噪处理,并对降噪原理、算法和仿真结果进行了较为详细的分析。提出了一种信号重构新方法,该方法利用小波变换对信号和噪声的模极大值进行分离,通过对噪声模极大值对应的小波系数进行线性压缩后重构信号,并用仿真试验验证了该方法的有效性。     

奇异信号消噪中小波消失矩的选取

信号小波变换模的局部极大值和信号奇异性之间存在对应关系,利用信号和噪声小波变换模极大值在不同尺度上表现出的截然不同的性质,可以对奇异信号进行消噪。本文讨论了小波消失矩的阶数与信号Lipschitz指数间的关系,分析了消失矩对奇异信号检测的影响。实验结果表明,为了有效地检测奇异信号的各种奇异性特征,需要根据信号奇异性选择具有不同消失矩的小波。     

小波变换域滤波方法在电磁生物医学成像中的应用

电磁生物医学成像信号是一种非平稳信号,传统滤波方法全造成信号重要信息的损失。小波变换局部极大值滤波方法利用信号与噪声不同的尺度变化特性来区分信号与噪声,将噪声从信号中分离出来。小波变换局部极大值描述是信号的一种稳定的、近似的描述,可以利用交替投影算法从小波变换局部极大值描述来重构信号。ａｄｈｏｃ算法是寻找小波变换对数模极大线的一种有效算法,在此基础上,提出模极大值漂移抑制方法,对生物医学成人像仿真     

小波变换模极大值域的一种自动滤波算法的实现

本文给出一种对小波变换模极大值进行自动滤波的算法.该算法可以自动寻找不同尺度之间对应同一边缘的模极大值,以实现非人工干预下的自动检测和去噪;并为采用小波变换模极大值法对边缘进行实时检测提供了可能性.     

负荷预测中基于小波分析的伪负荷数据的处理

论述了小波分解与重构法和非线性小波变换阈值法两种小波去噪方法。论述了一种应用于短期负荷预测中的伪数据处理方法:首先,利用小波变换将负荷序列投影到不同的尺度上;然后,在不同的尺度域分别计算模极大值,并根据负荷以天为周期波动的特性对模极大值进行处理;最后,通过小波重构得到去除伪数据的负荷序列。对实际负荷数据的计算表明了该方法的有效性。     

基于小波变换的图像边缘检测

介绍了利用小波变换进行图像边缘检测的原理与方法。基于小波变换的模极大值原理,利用不同尺度小波变换后的不同方向获取图像的高频信息,并通过小波系数的模极值点与过零点,检测出图像在四个方向上的模极大值,得到该位置模的局部最大值。仿真测试表明,利用小波变换进行图像边缘检测可以较好的检测图像边缘的细节特征,取得了很好的效果。     

基于小波变换的图像边缘检测

介绍了利用小波变换进行图像边缘检测的原理与方法。基于小波变换的模极大值原理,利用不同尺度小波变换后的不同方向获取图像的高频信息,并通过小波系数的模极值点与过零点,检测出图像在四个方向上的模极大值,得到该位置模的局部最大值。仿真测试表明,利用小波变换进行图像边缘检测可以较好的检测图像边缘的细节特征,取得了很好的效果。     

基于小波变换和对齐度准则的图像配准方法

图像配准是多传感器图像融合研究中的一项关键技术.由于基于特征的图像配准方法存在特征提取的多样性,对提取图像特征的鲁棒性和精确性都有很高的要求.文中在适用性很强的对齐度准则的基础上,提出了基于小波变换和对齐度准则相结合的图像配准方法.首先,分别利用小波变换模极大值和小波多尺度积提取出图像的边缘及特征点,再利用对齐度准则计算所有特征点对之间的对齐度,从而得到匹配点对.实验结果表明,该方法具有较强的适用性、抗噪性,精确性和有效性.     

基于多尺度边缘检测的小波包去噪方法

文章提出一种将小波变换模极大值(WTMM)多尺度边缘检测与小波包去噪算法结合起来的图像去噪方法。仿真结果表明,该方法不但对噪声的抑制能力强,而且可以很好地保留图像的边缘信息。     

An Improved Wavelet Denoising Algorithm for Wideband Radar Targets Detection

A novel denoising technique based on wavelet transform modulus maxima (WTMM) is proposed for processing wideband radar spread targets detection signal in a clutter environment. Combined with the improved adaptive Bayes–Shrink threshold and Lipschitz exponents, we propose the path pruned approach at each scale terms as full-scale to split the signal. The estimation of WTMM over each scale has been optimized, thus, the signal and the noise can be split effectively. Additionally, to improve the computational efficiency, a fast method based on a piecewise polynomial interpolation algorithm is applied for the split signal reconstruction. Statistical results are quite promising and perform better than the conventional denoising algorithms: compared with the classical WTMM algorithm, the improved WTMM full-scale denoising algorithm not only increases the signal-to-noise (SNR) ratio by over 10 % but also reduces the processing time by 88 % and reduces the root-mean-square-error (RMSE) by over 35 %. More generally, the proposed algorithm has better performance than that of several typical algorithms in its denoising quality and singularity detection.     

Wavelet-based estimators of scaling behavior

Various wavelet-based estimators of self-similarity or long-range dependence scaling exponent are studied extensively. These estimators mainly include the (bi)orthogonal wavelet estimators and the wavelet transform modulus maxima (WTMM) estimator. This study focuses both on short and long time-series. In the framework of fractional autoregressive integrated moving average (FARIMA) processes, we advocate the use of approximately adapted wavelet estimators. For these "ideal" processes, the scaling behavior actually extends down to the smallest scale, i.e., the sampling period of the time series, if an adapted decomposition is used. But in practical situations, there generally exists a cutoff scale below which the scaling behavior no longer holds. We test the robustness of the set of wavelet-based estimators with respect to that cutoff scale as well as to the specific density of the underlying law of the process. In all situations, the WTMM estimator is shown to be the best or among the best estimators in terms of the mean-squared error (MSE). We also compare the wavelet estimators with the detrended fluctuation analysis (DFA) estimator which was previously proved to be among the best estimators which are not wavelet-based estimators. The WTMM estimator turns out to be a very competitive estimator which can be further generalized to characterize multiscaling behavior     

A deblocking technique for block-transform compressed image usingwavelet transform modulus maxima

We introduce a deblocking algorithm for Joint Photographic Experts Group (JPEG) decoded images using the wavelet transform modulus maxima (WTMM) representation. Under the WTMM representation, we can characterize the blocking effect of a JPEG decoded image as: (1) small modulus maxima at block boundaries over smooth regions; (2) noise or irregular structures near strong edges; and (3) corrupted edges across block boundaries. The WTMM representation not only provides characterization of the blocking effect, but also enables simple and local operations to reduce the adverse effect due to this problem. The proposed algorithm first performs a segmentation on a JPEG decoded image to identify the texture regions by noting that their WTMM have small variation in regularity. We do not process the modulus maxima of these regions, to avoid the image texture being "oversmoothed" by the algorithm. Then, the singularities in the remaining regions of the blocky image and the small modulus maxima at block boundaries are removed. We link up the corrupted edges, and regularize the phase of modulus maxima as well as the magnitude of strong edges. Finally, the image is reconstructed using the projection onto convex set (POCS) technique on the processed WTMM of that JPEG decoded image. This simple algorithm improves the quality of a JPEG decoded image in the senses of the signal-to-noise ratio (SNR) as well as the visual quality. We also compare the performance of our algorithm to the previous approaches, such as CLS and POCS methods. The most remarkable advantage of the WTMM deblocking algorithm is that we can directly process the edges and texture of an image using its WTMM representation.     

用小波包变换产生音频数据索引的方法

针对音频多媒体数据库中基于例子和基于内容的查询,本文提出一种产生音频数据索引的方法.这里,我们首先讨论了小波包分解的过程和最好基及代价函数的选择方法.其次,对现有的用小波变换产生音频数据索引的二个方法进行比较,并提出基于小波包最好基变换产生音频数据索引的方法.再次,我们提出用音频数据的小波包最好基变换系数的部分最高值的能量作为音频数据索引.最后,我们把这种方法与直接采用小波变换产生索引的方法相比较.实验结果表明这种新方法具有较高和较稳定的检索精度.     

A new image registration method for grey images

The proposed algorithm relies on a group of new formulas for calculating tangent slope so as to address angle feature of edge curves of image. It can utilize tangent angle features to estimate automatically and fully the rotation parameters of geometric transform and enable rough matching of images with huge rotation difference. After angle compensation, it can search for matching point sets by correlation criterion, then calculate parameters of affine transform, enable higher-precision emendation of rotation and transferring. Finally, it fulfills precise matching for images with relax-tense iteration method. Compared with the registration approach based on wavelet direction-angle features, the matching algorithm with tangent feature of image edge is more robust and realizes precise registration of various images. Furthermore, it is also helpful in graphics matching.     

一种改进的基于经验模态分解的小波阈值滤波方法

经验模态分解是一种新的信号分解方法,该方法可将非线性非平稳信号分解成若干个单分量的本征模态函数,使得每个本征模态函数都具有一定的物理意义。本文探索了该方法在语音增强方面的应用.在文献[8]的基础上,对其方法进行了有效改进。首先将带噪语音进行经验模态分解,得到六个本征模态函数和一个余量信号,对这七个信号分别进行小波阈值滤波,并由滤波后的七个信号重构语音。结果表明,该方法的滤波效果明显优于对带噪语音直接采用小波阈值滤波的方法,并且较之文献[8]的滤波方法也具有一定的优势。     

基于小波变换的清浊音分类及基音周期检测算法

该文提出了一种基于小波变换的鲁棒性基音周期检测方法。检测前在小波域上用Teager能量算子对语音信号进行清浊音判决,对浊音段采用空域相关函数提取基音周期。实验表明,与传统的小波变换算法和自相关法相比,该方法鲁棒性好,具有更高的准确性。     

Singularity characteristics of needle EMG IP signals

Clinical electromyography (EMG) interference pattern (IP) signals can reveal more diagnostic information than their constituents, the motor unit action potentials (MUAPs). Singularities and irregular structures typically characterize the mathematically defined content of information in signals. In this paper, a wavelet transform method is used to detect and quantify the singularity characteristics of EMG IP signals using the Lipschitz exponent (LE) and measures derived from it. The performance of the method is assessed in terms of its ability to discriminate healthy, myopathic and neuropathic subjects and how it compares with traditionally used Turns Analysis (TA) methods and a method recently developed by the authors, interscale wavelet maximum (ISWM). Highly significant intergroup differences were found using the LE method. Most of the singularity measures have a performance similar to that of ISWM and considerably better than that of TA. Some measures such as the ratio of the mean LE value to the number of singular points in the signal have considerably superior performance to both methods. These findings add weight to the view that wavelet analysis methods offer an effective way forward in the quantitative analysis of EMG IP signal to assist the clinician in the diagnosis of neuromuscular disorders.