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Fast wavelet transforms and numerical algorithms 1

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.)

Fast wavelet transforms and numerical algorithms 1

移动窗口二维相关光谱方法matlab的实现，完全是自己参照公式编的哦。。移动窗口二维相关光谱是一种新的二维相关分析方法,它将移动窗口的概念和二维相关分析方法有效地结合在了一起,利用移动窗口将庞大的光谱数据按矩阵分割成若干个便于操作的子矩阵,用二维相关光谱分别处理,将得到的结果综合分析,用以光谱变量和扰动变量为坐标的等高图表现出来,从中可以非常直观地观察出光谱强度在扰动变量方向上的变化,进而找出引起光谱强度突变的特征扰动点。(Moving window two-dimensional correlation spectroscopy method matlab realization, is entirely their own formulas reference the Oh. . Moving window two-dimensional correlation spectroscopy is a new two-dimensional correlation analysis method, it will move the window concept and two-dimensional correlation analysis method is effective to combine together, using the moving window at the huge spectral data matrix is ​ ​ divided into a number of easy to operate a sub-matrix, respectively, using two-dimensional correlation spectroscopy process, comprehensive analysis of the results obtained for the spectral variables, and disturbance variables manifested contour map coordinates, which can visually observe the spectral intensity of the direction of the disturbance variable The change, then find mutations characteristic spectral intensity caused disturbance point.)

主要用于图像经小波变换压缩图像，并计算压缩后的图像压缩性能即压缩比和信噪比(Mainly used for image compression by wavelet transform image, and calculate the compressed image compression performance that the compression ratio and signal to noise ratio)

一种用于尿沉渣图片的分割方法，先用小波变换和形态学，再使用边缘检测和阈值分割(urine for a picture segmentation method, use wavelet transform and morphology, re-use of edge detection and thresholding segmentation)

2002年，MN Do和Martin Vetterli提出了一种“真正”的图像二维表示方法：Contourlet变换，也称塔型方向滤波器组(Pyramidal Directional Filter Bank, PDFB)。Contourlet变换是利用拉普拉斯塔形分解(LP)和方向滤波器组(DFB)实现的另一种多分辨的、局域的、方向的图像表示方法。(In 2002, MN Do and Martin Vetterli proposed a "real" two-dimensional representation of images: Contourlet transform, also known as Pyramidal Directional Filter Bank (PDFB). Contourlet transform is another multi-resolution, local and directional image representation method based on Laplacian pyramid decomposition (LP) and directional filter banks (DFB).)

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：  基于二进小波变换的图像小波模极大值检测，以及交替投影法重建(Based on dyadic wavelet transform modulus maxima of wavelet image detection, as well as the alternating projection reconstruction)

可用于曲波变换的工具箱，用于含噪声的图像的去噪过程,图像分解，有例子可直接运行。只可用于学术研究目的。(the Latest curvelet transform lab tool ，Non-commercial research use for Academics. Image decomposition, there are examples can be run directly.)