quaternion-wavelet-transform

通过设计Visual C程序源码对简单易懂的一维信号在加上了高斯白噪声之后进行Daubechies小波、Morlet小波与Haar小波变换，从而的到小波分解系数；再通过改变分解的到的各层高频系数数进行信号的小波重构达到消噪噪的目的。在这一程序源码实现的过程中能直观地理解信号小波分解重构的过程与在信号消噪中的重要作用，和在对各层高频系数进行权重处理时系数的选取对信号消噪效果的影响。 可直接 (Design Visual C program source code on a simple one-dimensional signal with a Gaussian white noise Daubechies wavelet, Morlet wavelet and Haar wavelet transform, and thus to the wavelet coefficients and then change the decomposition to each storey wavelet reconstruction frequency coefficient of the number of signal to noise canceling noise. In the process of realization of this program source code can be intuitively understood the signal wavelet decomposition and reconstruction process and an important role in signal denoising, and the selection coefficient in the high frequency coefficients of the layers of the weight of processing noise cancellation signal impact. Can be directly)

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.)

心电信号的预处理。高通滤波器，低通滤波器，50Hz带阻滤波器。(The preprocessing of the ECG signal. High-pass filter, low pass filter, 50Hz band-stop filter....)

某一直升机齿轮箱上的早期损伤的特征是，在伴随振动信号上产生一个可变周期的非平稳扰动信号。要求按此特征构造一组有物理意义的数据仿真早期故障信号，应用小波变换技术分析故障的特征和发生时刻。(a helicopter gearbox early on the characteristics of the injury, In addition to the vibration signal produced a variable cycle perturbation of non-stationary signals. Click here to request a group of tectonic significance of a physical early fault simulation data signals Application of wavelet transform technical analysis of the features and fault occurred moments.)

说明：  小波变换和压缩感知中的OMP算法比较，是一种比较新的算法(Wavelet transform and compression perception of the OMP algorithm comparison, is a relatively new algorithm)

说明：  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)

该源代码又称双树复小波变换源代码，它不仅具有Gabor变换的六个方向选择性，而且有更小的冗余度，对图像处理的同行们肯定有很大的价值，可直接下载使用。(The source code also known as the Dual-Tree Complex Wavelet Transform source code, it not only has the Gabor transform of the six direction selectivity, but also has a smaller redundancy of image processing colleagues certainly have great value, can directly download使用.)

OFDM系统完整程序，小波/小波包变换在OFDM中的应用的程序。(Complete program of the OFDM system, wavelet/wavelet packet transform in OFDM applications program.)

Multiscale Curvature-Based Shape Representation Using B-Spline Wavelets

2.1 傅里叶变换 2.1.1 经典傅里叶变换 2.1.2 傅里叶变换的基本性质 2.1.3 快速傅里叶变换 2.1.4 短时傅里叶变换 2.2 小波分析与多分辨率分析的历史 2.3 小波分析与傅里叶变换的对比 2.4 小波变换 2.4.1 连续小波变换 2.4.2 离散小波变换 2.4.3 高维小波连续变换 2.5 常用小波基函数 2.5.1 小波函数 2.5.2 小波函数系 2.5.3 复数小波 2.6 构造紧支撑正常小波基 2.7 多分辨率分析与小波构造 2.8 分析小波包 2.8.1 小波包的定义及性质 2.8.2 分解小波包的空间 2.8.3 小波包算法(2.1 Fourier transform 2.1.1 classical Fourier transform 2.1.2 The basic properties of the Fourier transform 2.1.3 Fast Fourier Transform 2.1.4 short time Fourier transform 2.2 wavelet analysis and multi-resolution analysis of the history of 2.3 Wavelet Analysis and comparison of the Fourier transform 2.4 Wavelet Transform 2.4.1 Continuous Wavelet Transform 2.4.2 Discrete Wavelet Transform 2.4.3 Continuous high-dimensional wavelet transform 2.5 Common wavelet basis function 2.5.1 wavelet function 2.5.2 Department of wavelet function 2.5.3 Complex Wavelet 2.6 Construction of compactly supported wavelets normal More than 2.7 resolution analysis and wavelet construction 2.8 Analysis of Wavelet Packet 2.8.1 Definition and properties of wavelet packet 2.8.2 wavelet packet decomposition space 2.8.3 Wavelet Packet Algorithm)