基于改进小波去噪的EEMD—HHT信号处理方法

传统小波去噪虽然可在一定程度上去除噪声对原始信号的干扰,但去噪效果并不理想。针对传统小波去噪中存在的问题,提出一种改进的小波去噪方法,并将改进小波去噪与EEMD-HHT有机结合,进而提出一种基于改进小波去噪的EEMD—HHT信号处理新方法。基于MATLAB软件,分别利用EEMD-HHT方法、基于传统小波去噪的EEMD-HHT信号处理方法和基于改进小波去噪的EEMD-HHT信号处理方法对外圈故障滚动轴承进行故障诊断试验,试验结果与理论计算结果对比分析表明,基于改进小波去噪的EEMD-HHT信号处理方法最为有效。     

基于自适应提升小波信号去噪算法的改进

引入了基于提升法的自适应离散小波交换,使伯恩斯坦预测算子自适应匹配特定的数据序列,并将其应用于改进的信号去噪方法中.仿真实验表明,基于自适应提升小波变换的改进方法同一般的小波变换相比,去噪后的信号信噪比更高,且提升方法的设计灵活、计算简单.     

基于MATLAB小波去噪方法及应用研究

在实际的计算机控制系统中,采样信号不可避免的受到各种噪声和干扰的污染,使得由采样信号辨识得到的系统模型存在偏差妨碍了系统控制精度的提高。Donoho和Johnstone提出的小波去噪算法对去除高斯白噪声非常有效。我们对此在MATLAB环境下做了详尽的探讨及仿真实验研究,得到一些实际应用经验,并利用傅立叶变换/反变换和小波阈值去噪方法对电厂机组调速级压力运行数据进行了去噪对比实验,结果表明小波去噪方法能取得较好的去噪效果,为后续系统模型辨识打下良好的基础。     

基于不同预处理方法的多小波暂态信号去噪

在介绍多小波基本理论的基础上,探讨了多小波的不同预处理方法并对多小波滤波器响应产生的影响进行了比较.通过对噪声信号的多小波变换分析,设计基于多小波变换的去噪方法.最后通过大量的仿真工作,对不同预处理方法的多小波与传统小波的电力系统故障暂态信号去噪效果进行了深入分析,结果表明:预处理方法的选择是影响多小波去噪效果的关键因素,若选择合适的预处理方法,利用多小波对暂态信号进行去噪,可以获得比传统小波更好的去噪效果.     

非线性阈值自调整小波图像去噪方法研究

为解决小波变换阙值去噪方法中阙值的合理选取,提出一种基于非线性阙值自调整小波变换的图像去噪方法。在传统小波阈值去噪方法的基础上,结合神经网络的非线性双曲线正切函数和BP训练方法,首先对含噪图像进行二进小波分解,然后对分解系数进行小波重建,并将重建系数在BP神经网络中采用最速梯度下降法进行优化处理,得到最优阈值,最后对阈值处理的重建系数进行叠加,得到原始图像信号的估计值,即去噪后的图像信号。仿真实验表明,该方法具有较好的重建图像视觉效果,信噪比（SNR）和峰值信噪比（PSNR）均比传统小波阈值方法提高了1～2dB。     

基于小波变换和均值滤波的图像去噪研究

针对均值滤波现有的缺点和小波变换存在的优势,特提出将小波变换和均值滤波相结合的算法,在该算法中,首先通过小波去噪进行图像处理,将处理后的图像通过小波变换得到近似图像、水平、垂直和对角三个高频细节提取出来,针对含噪图像的特点,对水平、垂直和对角三个高频细节采用不同的滤波模板进行中值滤波变换,最后将近视低频细节和变换后的三个高频信号采用逆小波变换得到再一次去噪后的图像。经过仿真实验结果可知,该算法在有效降低噪声的同时,保留了尽可能多的图像细节信息,其去噪效果优于单一的小波变换去噪、均值滤波去噪。     

基于小波的声发射信号去噪研究

由于小波变换具有较强的时频分析和局部分析能力,常用于非平稳信号的去噪处理中。首先根据小波分解后各高频系数所占的能量百分比对信号进行提纯,再对提纯后的信号进行小波阈值去噪,并运用信号能量百分比和频谱分析对去噪效果进行评判。实验结果表明,这种先提纯后阈值去噪的处理方法能够在保证信号不失真的前提下,有效去除声发射信号中的噪声。     

一种弱信号检测新方法分析

通过计算机仿真分析一种基于频域积累和小波变换相结合的弱信号监测方法,仿真在Matlab上完成。分别分析小波变换和频域积累用于弱信号处理的去噪效果。仿真表明,小波变换对信噪比很低的信号去噪效果较差,频域积累需要较长的数据采集时间,会使信号处理的实时性变差。在此基础上,提出将两种方法结合起来使用,先用频域积累将信噪比提高,再用小波变换进一步去噪,从而形成了一种新的弱信号检测方法,该方法既可有效去噪,实时性也较频域积累有很大改善。     

基于平移不变的小波变换去噪快速算法

在介绍小波变换去噪理论的基础上,针对传统的小波变换去噪算法的缺陷,提出了一种基于平移不变的小波去噪快速算法.着重探讨平移不变小波去噪方法中平移量的选取对去噪效果以及计算复杂度的影响.仿真实验证明该算法能够在不影响去噪效果的前提下,较大程度降低计算复杂度.     

一种改进的小波阈值去噪法

基于小波变换的阈值去噪法是去除数字信号中白噪声的有效算法,其中阈值函数的选择关系着重构信号的连续性和精度。但是硬阈值函数在阈值点具有不连续性,软阈值函数中估计的小波系数与信号的小波信号间存在恒定偏差的缺陷,这些缺点限制了阈值去噪法的进一步应用。将硬阈值和软阈值函数进行加权平均,选取适当的权值函数,可以构造出一种克服了软硬阈值缺点的新的阈值函数。仿真结果表明,该方法具有较好的去噪效果。     

一种基于小波-Contourlet变换的图像去噪算法

提出了一种基于小波-Contourlet变换的图像去噪算法.实验证明,该算法相对于小波变换和Contourlet变换能更稀疏的表达图像,并利用此优越性进行图像去噪,可以达到更好的效果和更高的PSNR值.     

Image denoising with anisotropic bivariate shrinkage

This paper presents a novel image denoising algorithm based on the modeling of wavelet coefficients with an anisotropic bivariate Laplacian distribution function. The anisotropic bivariate Laplacian model not only captures the child-parent dependency between wavelet coefficients, but also fits the anisotropic property of the variances of wavelet coefficients in different scales of natural images. With this statistical model, we derive a closed-form anisotropic bivariate shrinkage function in the framework of Bayesian denoising and a new image denoising approach with local marginal variance estimation based on this newly derived shrinkage function is proposed in the discrete wavelet transform (DWT) domain. The proposed anisotropic bivariate shrinkage approach is also extended to the dual-tree complex wavelet transform (DT-CWT) domain to further improve the performance of image denoising. To take full advantage of DT-CWT, a more accurate noise variance estimator is proposed and the way the anisotropic bivariate shrinkage function applied to the magnitudes of DT-CWT coefficients is presented. Experiments were carried out in both the DWT and the DT-CWT domain to validate the effectiveness of the proposed method. Using a representative set of standard test images corrupted by additive white Gaussian noise, the simulation results show that the proposed method provides promising results and is competitive with the best wavelet-based denoising results reported in the literature both in terms of peak signal-to-noise ratio (PSNR) and in visual quality.     

Noise reduction for magnetic resonance images via adaptive multiscale products thresholding

Edge-preserving denoising is of great interest in medical image processing. This paper presents a wavelet-based multiscale products thresholding scheme for noise suppression of magnetic resonance images. A Canny edge detector-like dyadic wavelet transform is employed. This results in the significant features in images evolving with high magnitude across wavelet scales, while noise decays rapidly. To exploit the wavelet interscale dependencies we multiply the adjacent wavelet subbands to enhance edge structures while weakening noise. In the multiscale products, edges can be effectively distinguished from noise. Thereafter, an adaptive threshold is calculated and imposed on the products, instead of on the wavelet coefficients, to identify important features. Experiments show that the proposed scheme better suppresses noise and preserves edges than other wavelet-thresholding denoising methods.     

维纳滤波和非线性扩散相结合的图像去噪

提出一种基于小波和非线性扩散的新的图像去噪算法。小波域局部维纳滤波是一种简单有效的去噪方法,利用该方法先对原始图像进行初步去噪,以此引导非线性扩散模型中的边缘检测函数,再用非线性扩散进行去噪。实验表明:该算法不仅很好地保存了图像的边缘信息,而且有效地去除了图像中的大部分噪声,无论是视觉效果还是客观标准上都优于单纯的小波域维纳滤波或非线性扩散去噪。     

基于Donoho模型和高阶统计理论的小波消噪算法研究及其应用

本文结合经典Donoho小波消噪模型,提出了基于高阶统计理论的小波消噪算法.算法在小波分解各尺度引入了高阶统计理论中的四阶累积量方法,从信号和噪声的统计特性出发进行信噪分离.仿真结果验证了本文算法的性能.算法能满足无线电监测系统中对信号进行后续处理的需求.     

基于正交小波变换的图像去噪算法研究

提出了一种基于正交小波变换的图像去噪方法,首先利用离散小波对图像信号按Mallat算法进行分解,然后采用软闽值与小波重构的算法进行去噪。深入研究了小波变换中的图像分解与重构的Mallat算法,详细介绍了正交小波变换中阈值的选取,并进行了实验研究。实验结果表明,该方法可以有效去除噪声,并保留了图像细节部分的有用信息。     

Edge-preserving image regularization based on morphological wavelets and dyadic trees

Despite the tremendous success of wavelet-based image regularization, we still lack a comprehensive understanding of the exact factor that controls edge preservation and a principled method to determine the wavelet decomposition structure for dimensions greater than 1. We address these issues from a machine learning perspective by using tree classifiers to underpin a new image regularizer that measures the complexity of an image based on the complexity of the dyadic-tree representations of its sublevel sets. By penalizing unbalanced dyadic trees less, the regularizer preserves sharp edges. The main contribution of this paper is the connection of concepts from structured dyadic-tree complexity measures, wavelet shrinkage, morphological wavelets, and smoothness regularization in Besov space into a single coherent image regularization framework. Using the new regularizer, we also provide a theoretical basis for the data-driven selection of an optimal dyadic wavelet decomposition structure. As a specific application example, we give a practical regularized image denoising algorithm that uses this regularizer and the optimal dyadic wavelet decomposition structure.     

基于MATLAB不同小波基的小波阈值图像去噪算法

通过介绍小波图像去噪的方法和小波阈值去噪的步骤,讨论小波基在小波阈值去噪中的作用,阐述了常见的几种小波基的特征及其相关性质的比较。最后通过在MATLAB下,分别选择了db2和sym4两种小波基,进行小波阈值去噪实现图像高频系数的滤波并重建,得到采用不同的小波基影响图像去噪效果的结论。     

Image Denoising Using Trivariate Shrinkage Filter in the Wavelet Domain and Joint Bilateral Filter in the Spatial Domain

This correspondence proposes an efficient algorithm for removing Gaussian noise from corrupted image by incorporating a wavelet-based trivariate shrinkage filter with a spatial-based joint bilateral filter. In the wavelet domain, the wavelet coefficients are modeled as trivariate Gaussian distribution, taking into account the statistical dependencies among intrascale wavelet coefficients, and then a trivariate shrinkage filter is derived by using the maximum a posteriori (MAP) estimator. Although wavelet-based methods are efficient in image denoising, they are prone to producing salient artifacts such as low-frequency noise and edge ringing which relate to the structure of the underlying wavelet. On the other hand, most spatial-based algorithms output much higher quality denoising image with less artifacts. However, they are usually too computationally demanding. In order to reduce the computational cost, we develop an efficient joint bilateral filter by using the wavelet denoising result rather than directly processing the noisy image in the spatial domain. This filter could suppress the noise while preserve image details with small computational cost. Extension to color image denoising is also presented. We compare our denoising algorithm with other denoising techniques in terms of PSNR and visual quality. The experimental results indicate that our algorithm is competitive with other denoising techniques.     

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。