An-Efficient-Randomized-Algorithm-for-Detecting-C

离散小波变换是指在特定子集上采取缩放和平移的小波变换，是一种兼具时域和频域多分辨率能力的信号分析工具。此变换运用可以缩放平移的小波代替固定的窗进行计算分析，主要应用于信号编码和数据压缩。(Discrete wavelet transform refers to the specific subset take scaling and translation on the wavelet transform, is a kind of multi-resolution ability both time domain and frequency domain signal analysis tool. This transformation can use zoom translational wavelet calculation and analysis instead of the fixed window, mainly used in signal coding and data compression. )

说明：  小波(Wavelet)这一术语，顾名思义，“小波”就是小的波形。所谓“小”是指它具有衰减性；而称之为“波”则是指它的波动性，其振幅正负相间的震荡形式。与Fourier变换相比，小波变换是时间(空间)频率的局部化分析，它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。有人把小波变换称为“数学显微镜”。 这套讲义生动详实的快速带领初学者掌握小波的基本要点，是不可多得的好材料！(This is a handbook about Wavelet.)

基于小波变换的图像压缩编码，实现了多种小波变换，并且实现了12:1的高压缩率。(Based on Wavelet Transform Image Coding, to achieve a variety of wavelet transform, and achieved a high 12:1 compression ratio.)

这是一本介绍旋转机械故障诊断的论文，采用小波变换方法提取故障特诊，我导师的一个项目就是用的这种特征提取方法，比较成功。(this is a book that introduce the matheds of error dector and we have tested it in our project.)

基于高阶累积量的MUSIC算法仿真，有直观结果可供参考(MUSIC algorithm simulation based on higher order cumulants, intuitive results available)

图像处理中，有关二维离散小波变换的PPT例程，富有参考价值。(Image processing related to the two-dimensional discrete wavelet transform PPT routines, full of reference value.)

说明：  主要用于图像融合。 NSCT融合有利于更好的保持图像的边缘信息和轮廓结构，增强图像的平移不变性。(It is mainly used for image fusion. NSCT fusion is conducive to better preserve the edge information and contour structure of the image, and enhance the translation invariance of the image.)

说明：  介绍傅立叶变换的漫画，不是大量公式叙述或证明，简洁生动，易于理解。(The caricature that introduces Fourier transform, is not a lot of formula narration or proof, concise and vivid, easy to understand.)

这是本人的图像处理作业 包括利用各种基于小波的去噪过程，如硬阈值 软阈值等。。内容很丰富哦！相信一定对你有帮助的！(This is my image processing operations including the use of wavelet-based de-noising process, such as a hard threshold, such as soft-thresholding. . Oh, the content is very rich! I am sure will help you!)

一维向量的离散短时Fourier变换函数。函数名：stft，输入：要处理的一维数组，加窗：矩形窗，窗口宽度：20。(One-dimensional vector of discrete short-time Fourier transform function. Function name: stft, enter: To deal with the one-dimensional array, plus a window: rectangular windows, window width: 20.)