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说明：  小波变化代码，是比较好的测试向量，包括位平面编码和MQ(Wavelet transform code, is a better test vectors, including the bit plane coding and MQ)

对图像做二维离散小波变换，分解级数为3级，并重构图像，不直接调用Matlab的dwt和idwt函数。(pair of 2-dimensional images DWT, decomposition of the three series, and Image Reconstruction, not directly call Matlab dwt and idwt function.)

多点目标 单站SAR的回波信号仿真以及BP后向投影成像 参数见合成孔径雷达成像——算法与实现一书表6.1 运行结果正确，注释比较详细(Percent more single station SAR point target echo signal simulation and backward projection imaging BP parameters, see synthetic aperture radar imaging- algorithm and implementation of a book Table 6.1 run result is correct, more detailed notes)

生成高斯波形脉冲，并求解高斯脉冲的自相关结果(Gaussian pulse waveform is generated, and solve the results of Gaussian pulse autocorrelation)

用小波方法把脑电信号进行频段分解，并画出图形(Using wavelet method to decompose the eeg signals into frequency bands, and draw the graph)

Wavelet Neural networks

利用小波分析原理对某信号进行分解与重构，并可提取指定层数上的高、低频信号。(A signal is decomposed and reconstructed by using wavelet analysis principle, and high and low frequency signals can be extracted from the specified number of layers.)

Block-based random image sampling is coupled with a projectiondriven compressed-sensing recovery that encourages sparsity in the domain of directional transforms simultaneously with a smooth reconstructed image. Both contourlets as well as complex-valued dual-tree wavelets are considered for their highly directional representation, while bivariate shrinkage is adapted to their multiscale decomposition structure to provide the requisite sparsity constraint. Smoothing is achieved via a Wiener filter incorporated into iterative projected Landweber compressed-sensing recovery, yielding fast reconstruction. The proposed approach yields images with quality that matches or exceeds that produced by a popular, yet computationally expensive, technique which minimizes total variation. Additionally, reconstruction quality is substantially superior to that from several prominent pursuits-based algorithms that do not include any smoothing

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.)

本代码给出了图像的二维离散小波变换分解、重构图像以及误差图像。(The code gives the two-dimensional image decomposition of discrete wavelet transform, image reconstruction and the error image.)