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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)

说明：  通过高斯函数导数检测图像边缘，实质是方向可调小波变换检测图像边缘（8个方向变换）。(Gaussian function through derivative edge detection in real terms is adjustable direction edge detection wavelet transform (change the direction of 8).)

一种小波分解，用于多分辨率分解，在分解的过程中，同时给出各级的细节和概貌。(a trous wavelet decomposition)

小波变换，小波去噪，包含多种去噪方法，模极大值，自适应，阈值去噪(Wavelet transform, wavelet denoising, including multiple Denoising, modulus maxima, adaptive thresholding)

复杂杂波背景下，海面红外图像中舰船目标检测的关键是如何降低虚警、检测出真正的 目标。为了实现这个目标，首先利用Haar小波函数进行小波变换，对图像进行预处理；然后进行恒 虚警检测（CFAR）；第三步采用行程法对检测的目标进行标记；最后采用管道滤波法剔出虚假目标， 检测出真正的目标。经仿真实验证明，此方法能有效地降低虚警，在复杂杂波背景中检测出目标。 (The key of ship detection in sea infrared image with complex clutter background is how to reduce false alarms and detect true targets.In order to achieve this aim,a novel algorithm is proposed. First,Haar wavelet transform technology is used as preprocessing,then constant false alarm rate(CFAR) detetion,then run-length label to mark objects detected by the above step,finally pipeline filter to reduce false alarms and detect true targets.Experiment results indicate that this method can effectively reduce false alarms and detect true targets in complicated sea background. )

基于小波变换的图像量化编解码，使用零树编码方法(based on wavelet transform quantitative image codecs, the use of zero-tree coding method)

用stft、小波变换、EMD分别对突变信号进行时频分析(With stft, wavelet transform, EMD mutations were signals of time-frequency analysis)

说明：  Fault Location in Extra Long HVdc Transmission Lines using Continuous Wavelet Transform

这个程序是基于小波变换的信号奇异性检测及去噪 的一些例程(using wavelet method and SVD to process the signal and denoise)

该程序可以实现对信号的小波分解、重构及各频带能量比分析(The program can achieve signal wavelet decomposition and reconstruction and the band energy than)