小波边缘检测

说明：  针对不同采样频率和输入信噪比的心磁信号进行滤波操作，呈现出对同一输入信号采取不同滤波算法的去噪结果。(The filtering operation is performed on the magnetic heart signals of different sampling frequencies and input signal-to-noise ratios, showing the denoising results of different filtering algorithms for the same input signal.)

Resumé de l’article: "Early Detection of Fatigue Damage on Rolling Element Bearings Using Adapted Wavelet" par Xavier Chiementin, Fabrice Bolaers, Jean-Paul Dron en franç ais

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.)

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。(Wavelet transform (WT) is a new transform analysis method. It inherits and develops the idea of localization of short-time Fourier transform and overcomes the shortcomings that window size does not vary with frequency. It can provide a frequency-dependent The Time-Frequency window is ideal for time-frequency analysis and processing of signals. Its main feature is that by transforming some features that can fully highlight some aspects of the problem, the localization of the time (space) frequency can be analyzed, and the signal (function) can be gradually and multi-scale refined by the scaling operation, finally reaching the high frequency Time subdivision, frequency subdivision at low frequencies, can automatically adapt to the requirements of time-frequency signal analysis, which can focus on any details of the signal to solve the difficulties of Fourier transform has become a major breakthrough in the scientific method since Fourier transform.)

S变换是小波变换的一种扩展，有非常大的价值(S transform is an extension of wavelet transform, has a very large value)

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.)

关于小波分析的程序，用于分析振动信号的程序，很好用(Wavelet analysis on the procedures used to analyze the vibration signal of procedures, very good use)

基于小波变换的信号奇异性检测，小波模极大值的计算(The signal singularity detection based on wavelet transform )

双树复小波变换的源代码，可用于一维信号与二维图像的变换(double-tree Complex Wavelet transform the source code can be used in one-dimensional and two-dimensional image signal transformation)

小波图像去噪源码，很不错，内有程序的运行结果(Image denoising source, very good, there are programs running results)