Ship-detection

对信号f(x)进行三层小波变换，得到小波系数d1,d2,d3和逼近系数a3，我想求出各个频率段的能量（能量=小波系数的平方和），很不错的应用程序(The signal f (x) for three wavelet transform, wavelet coefficients d1, d2, d3 and approximation coefficients a3, I would like to find the energy of each frequency band (energy = sum of squared wavelet coefficients), very good application)

利用小波提升算法实现了第二代小波变换,将之应用在信号去噪中,实现了数据的边界对称延拓,去噪效果较好.(Wavelet Lifting algorithm using the second generation wavelet transform, to be used in signal de-noising, the realization of the data symmetric boundary extension, denoising better.)

说明：  shearlet变换matlab工具箱，可用于图像降噪、融合(Shearlet transform matlab toolbox can be used for image denoising and fusion)

一维小波变换的MATLAB实现方法，包括一维连续小波变换和离散小波变换。(MATLAB in a one-dimensional wavelet transform methods, including the one-dimensional continuous wavelet transform and discrete wavelet transform.)

利用连续小波变换，交叉小波变换研究ENSO对长江流域径流的影响。(Using the continuous wavelet transform, ENSO cross wavelet transform research on the influence of the Yangtze river basin runoff.)

说明：  紧支撑小波基的构造。 以Daubechies小波滤波器系数为例，推导出小波函数及尺度函数，并画出其图像. void Convolution(double* pShortData, int nShort, double* pLongData, int nLong) int CalcScaleFunction(double* pOutData) int CalcWaveletFunction(double* pOutData) Convolution()不是通用的离散卷积代码，而是简单地实现了后面两个函数需要的离散卷积，它要求输入的前一个数组长度小于后一数组长度，而且卷积结果就直接覆盖存储在后一数组中。CalcScaleFunction()计算尺度函数，CalcWaveletFunction()计算小波函数。 (Compactly supported wavelet bases constructed. To Daubechies wavelet filter coefficients as an example, the derived wavelet function and scaling function, and draw their images. Void Convolution (double* pShortData, int nShort, double* pLongData, int nLong) int CalcScaleFunction (double* pOutData) int CalcWaveletFunction ( double* pOutData) Convolution () instead of generic discrete convolution code, but simply the realization of a function behind the need for two discrete convolution, which requires input before an array length is less than the array length of the latter, but the result of convolution directly covered by the latter is stored in the array. CalcScaleFunction () calculated scaling function, CalcWaveletFunction () calculation of wavelet function.)

AR过程的线性建模的Burg算法参数估计m文件(Burg method for AR processing)

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.)

该文讲解了分数阶微积分和小波变换之间的关系，很不错的论文(The article explained the fractional calculus and the relationship between the wavelet transform, a very good paper)

基于小波变换的信号检测和去噪的matlab源程序 基于小波变换的信号检测和去噪的matlab源程序(Matlab source of the signal detection and denoising based on wavelet transform)