Wavelet-Shrinkage_-Asymptopia_

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.)

全套voltera滤波器检测目标回波信号，且全部都是m文件，没有加密，并附原始信号，以供验证。(Complete voltera filter detection of the target echo signal, and all the m files are not encrypted, together with the original signal, for verification.)

说明：  MATLAB的软件包，用于小波变换，安装到自己的MATLAB工具箱中。(MATLAB software package for wavelet transform.)

matlab利用小波模极大值法实现信号的奇异性检测(Signal singularity detection in Matlab)

小波分析用于图像融合和去噪；APES,MUSIC,LMS算法仿真实例；(Wavelet analysis is used to image fusion and noise；APES,MUSIC,LMS )

实现连续小波变换，对信号进行频谱分析。精度很高(continuous wavelet transform)

基于小波变换的随机噪声降噪的matlab 主要运用的方法有软阈值去噪法和硬阈值去噪法(Based on wavelet transform matlab random noise and noise reduction methods are mainly used soft thresholding method and hard thresholding method)

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.)

对信号进行小波变换，抑制系数小波滤波，采用了硬阈值滤波方法(right signal wavelet transform, wavelet filter coefficients inhibit use of the hard threshold filtering method)

说明：  短时傅里叶变换的MATLAB实现代码，有效完成时频分析(matlab implementation code of short-time Fourier transform to effectively complete time-frequency analysis)