WAVELET_JX

将图像按位平面分解，然后在最低有效为嵌入一定的信息，达到数字隐藏的作用，是最原始的数字水印技术(image caput plane decomposition, and then embedded in the lowest effective for certain information, to hide the figures, is the most primitive digital watermarking technology)

对输入的二维灰值图像，先进行提升Haar小波变换，再用经典的EZW算法对小波系数进行压缩，然后反变换重构原图像。(On the importation of two-dimensional gray value of images, first upgrade the Haar wavelet transform, and then classical EZW algorithm to compress the wavelet coefficients, and then inverse transform reconstruction of the original image.)

Block-based random image sampling is coupled with a projectiondriven compressed-sensing recovery that encourages sparsity in the domain of directional transforms simultaneously with a smooth reconstructed image. Both contourlets as well as complex-valued dual-tree wavelets are considered for their highly directional representation, while bivariate shrinkage is adapted to their multiscale decomposition structure to provide the requisite sparsity constraint. Smoothing is achieved via a Wiener filter incorporated into iterative projected Landweber compressed-sensing recovery, yielding fast reconstruction. The proposed approach yields images with quality that matches or exceeds that produced by a popular, yet computationally expensive, technique which minimizes total variation. Additionally, reconstruction quality is substantially superior to that from several prominent pursuits-based algorithms that do not include any smoothing

本程序为小波包能量计算程序，根据相关资料，自己编写，计算感兴趣的频带能量，程序懂得人稍作修改就可以运行( U672C u7A0B u5E8F u4E3A u5C0F u6302 u803F0 u0B1 u7B97 u7A0B u5E8F uFF0C u6839 u636E u76R8 u5173 u8D44 u6599 uFF0C u81EA u5DF1 u7F16 u5199 UFF0C u8BA1 u7119 u6119 u5113 u8E1 u7684 u9891 u5E26 u80FD u91CF uFF0C u7A0B u5E8F u61C2 u5F97 u4EBA u7A0D u4F5C u4FEE u6539 u5C31 u53EF u4EE5 u8FD0 U884C)

此程序仿真了一个被污染了的信号源，然后通过小波去噪，成功取出了信号中的杂波(This procedure simulation has polluted the supply oscillator, then through the wavelet denoising, the success took out in the signal clutter )

第二代小波变换，包含常见的小波基函数和算例(The second generation wavelet transform contains the common wavelet basis functions and examples)

基于morlet小波的小波熵的源代码，希望有用，共分享(the code of waveletentropy)

MATLAB的软件包，用于小波变换，安装到自己的MATLAB工具箱中。(MATLAB software package for wavelet transform.)

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.)

说明：  用MATLAB编程实现实现滤波，与数字信号处理相关(Implementing filtering)