Wavelet_OMP_1d

This is a MATLAB code used to calculate the PSNR of a function.

实现构造小波基，求解小波尺度函数离散整数点的值以及实现尺度函数经伸缩后的离散值等功能。(Implement the constructor wavelet basis functions to solve the discrete wavelet scale and the realization of the value of an integer point scale after scaling function by a discrete value functions.)

对输入的二维灰值图像，先进行提升Haar小波变换，再用经典的EZW算法对小波系数进行压缩，然后反变换重构原图像。(On the importation of two-dimensional gray value of images, first upgrade the Haar wavelet transform, and then classical EZW algorithm to compress the wavelet coefficients, and then inverse transform reconstruction of the original image.)

S变换是小波变换的一种扩展，有非常大的价值(S transform is an extension of wavelet transform, has a very large value)

编写MATLAB程序，产生协方差函数为C(τ)=9??^(?10|??| )的零均值平稳高斯过程，产生一条样本函数.测量所产生样本的时间自相关函数，将结果与理论值比较。(Procedures for the preparation of MATLAB produced C covariance function (tau) =9^ (- 10||) zero mean stationary Gauss process to produce a sample function. Measuring the resulting sample time autocorrelation function, the results will be compared with the theoretical value.)

压缩感知相关领域的信号恢复算法，基于小波变换一维信号恢复(CS wavelet-1D code)

利用小波变换，EMD以及两者的综合分别进行轴承信号背景噪声去噪分析(Using wavelet transform, EMD and the combination of the two separate bearing signal denoising of background noise)

对雷达信号进行预处理。输入设定的LFM信号，进行数字正交解调以及匹配滤波最后是相参积累。从而得到LFM信号频谱图，解调后的频谱，想干积累输出等结果。 (The radar signal preprocessing. Input set of LFM signal, digital quadrature demodulation and matched filtering the last coherent integration. LFM signal spectrum, the demodulated spectrum accumulated wanted output results.)

wavelet transforms in advanced forms

小波分解在图像处理和电能质量分析中应用广泛，本文应用小波分解的方法将高频的暂态信号提取出来，获取暂态信号的特征量，就能够有效地计算暂态信号。(Wavelet decomposition in image processing and power quality analysis is widely used, this application of wavelet decomposition method to extract high-frequency transient signals, to obtain the amount of transient characteristics of the signal, we can effectively calculate the transient signal.)