OMP

压缩感知相关领域的信号恢复算法，基于小波变换一维信号恢复(CS wavelet-1D code)

说明：  这是一个关于小波应用工程程序的期末作业，里面包括连续小波变换和离散小波变换，适合初学者使用(This is a project on the application of wavelet end of the operating procedures, including inside the continuous wavelet transform and discrete wavelet transform, for beginners)

利用小波变换模极大值方法进行信号检测的实验,很容易的检测出突变点(Wavelet transform modulus maxima method of signal detection experiments, it is easy to detect mutations)

在实数域 ,对称、 正交的紧支集非平凡单小波基不存在 ,而多小波把紧支集，对称性、 正交性完美地结合在一起 ,使小波理论从标量扩展到矢量范畴。利用上述特点将多小波变换应用于 SAR 图像压缩。(In the real fields, symmetric, orthogonal set of nontrivial compactly supported wavelet basis does not exist alone, but more than the compact support wavelet, symmetry, orthogonality perfect combination, So wavelets theory extended Dao vector from scalar context. Use of these features will be more than SAR image compression wavelet transform.)

利用小波变换进行改进阈值信号去噪 (Improvement threshold signal denoising using wavelet transform)

使用了Arnold置乱算法，实现了基于小波变换的数字图像水印(Arnold used the scrambling algorithm based on wavelet transform of digital image watermarking)

本文通过比较第一代和第二代小波算法特点,引入二代小波提升结构的概念,提出了一种基于二代小波提升结构的快速图像边缘检测算法 对三次B样条小波基实现提升格式,通过计算大尺度下分解子图的模值和幅角来确定边缘 经过实验比较,能比经典的边缘检测算法得出更精确的边缘图像,同时通过与基于第一代小波算法的边缘检测比较,基于二代小波提升格式的边缘检测算法计算更快速,更高效。(In this paper, by comparing first-and second-generation wavelet algorithm features, the introduction of second generation wavelet to enhance the concept of structure, a second generation wavelet-based structure to enhance the rapid image edge detection algorithm on the three B-spline wavelet lifting scheme to achieve through Calculation of large-scale mold subgraph decomposition value and increase the edge angle to determine the experimental comparison, than the classical edge detection algorithm to draw a more accurate edge image, at the same time with the first generation of wavelet-based edge detection algorithm comparison, based on the Second generation wavelet lifting scheme edge detection algorithm is faster and more efficient.)

基于提升格式的整数小波变换及其编解码( And its arranges based on the promotion form integer wavelet transformation decodes )

本程序用Mallat算法实现小波变换,方法简答以实现(This program uses the mallat algorithe to implement wavelet transform)

Le Gall 5/3 小波变换及其反变换，可用于JPEG2000无损压缩中(Le Gall 5/3 wavelet transform and its inverse transform，which can be used for lossless compression in JPEG2000)