Wavelet-Shrinkage_-Asymptopia_

Savitzky-Golay滤波是一种工程应用数据处理中高效的滤波方法，能同时得到平滑后的数据和数据梯度。(Savitzky-Golay filter is an efficient filtering method in engineering application data processing, which can simultaneously obtain the smoothed data and data gradient.)

基于matlab程序对声音信号进行去噪处理，通过小波包处理及小波分析结合(Matlab program based on the sound signal denoising by wavelet packet processing and wavelet analysis combined)

matlab程序，X-CT图像处理，用小波分解去除噪声(matlab program, X-CT image processing, noise removal by wavelet decomposition)

图像小波变换，小波变换（wavelet transform，WT）是一种新的变换分析方法，它继承和发展了短时傅立叶变换局部化的思想，同时又克服了窗口大小不随频率变化等缺点，能够提供一个随频率改变的“时间-频率”窗口，是进行信号时频分析和处理的理想工具。它的主要特点是通过变换能够充分突出问题某些方面的特征，能对时间（空间）频率的局部化分析，通过伸缩平移运算对信号（函数)逐步进行多尺度细化，最终达到高频处时间细分，低频处频率细分，能自动适应时频信号分析的要求，从而可聚焦到信号的任意细节，解决了Fourier变换的困难问题，成为继Fourier变换以来在科学方法上的重大突破。(Image Wavelet Transform)

图象增强小波变换将一幅图象分解为大小、位置与方向都不同的分量。在做逆变换之前能改变小波变换域中某些系数的大小，，这样就能够洋选择的放大所感兴趣的分量而减小不需要的分量。给定一个图象信号，用二维小波分析析对图象进行增强处理。 (Image enhancement wavelet transform decomposition size, location and direction of the different components of an image. Wavelet transform domain, some the size of the coefficient can change before doing the inverse transformation, so can the component of interest to the amplification of the ocean choose to reduce the unwanted weight. Given an image signal, the analysis of two-dimensional wavelet analysis of image enhancement processing.)

说明：  提出了一种基于复解析小波变换的相位诊断齿轮故障的方法。复解析小波变换将Hilbert变换与小波分析紧密结合在一起,具有自适应分析能力。利用复解析小波变换得到齿轮振动信号的相位,其功率谱图上可提取调制边频带结构来识别故障模式。试验结果表明这种方法可有效应用于齿轮局部故障诊断中。(A new method using the phase based on complex analytical wavelet transform for fault diagnosis of gears was proposed. The phase of vibration signals of gears is got by complex analytical wavelet transform, which combines Hilbert transform with wavelet transform tightly and possesses adaptive analysis ability. By making spectrum analysis of the phase, the sideband structure in power spectrum can be protruded, and the fault pattern can be identified. Experimental results show that the proposed method is effective in local defect detection of gears.)

小波包分析提取振动信号中的特征频率，以及能量谱分析计算-(wavelet packet analysis vibration signal from the characteristic frequency, and the energy spectrum analysis )

这是基于二进小波变换的图像增强matlab源代码，通过编译。(this is a sound code of image enhancement based on dyadic wavelent ,by translate and edit )

小波谱分析mallat算法经典程序 希望对大家的学习有帮助(The small spectral analysis of the classical program of the mallat algorithms hope that everyone' s learning)

说明：  给出了在matlab环境下的源代码，经过了上机调试，可以实现小波变换对图像的二次压缩！(given Matlab environment in the source code, after the Machine, can achieve a wavelet transform of the second image compression!)