perform_atrou_transform

对图像进行小波变换的分解和重构的代码，包含以为信号的处理。( The image decomposition and reconstruction of wavelet transform code, including that the processing of the signal.)

说明：  python实现小波和短时傅里叶变换，源代码和测试算例(Python implementation of wavelet and short time Fourier transform)

说明：  ecg信号处理，基线漂移，小波变换、snr mse(ECG signal processing, baseline drift, wavelet transform, SNR MSE)

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)

利用matlab中的小波变换函数，对图像进行小波降噪，并分析降噪效果。(The wavelet transform using matlab function, the image wavelet noise reduction, and analyze the noise reduction effect.)

基于matlab程序对声音信号进行去噪处理，通过小波包处理及小波分析结合(Matlab program based on the sound signal denoising by wavelet packet processing and wavelet analysis combined)

心电图(ECG)是临床上诊断心血管疾病的重要方法。 数字滤波作为数字信号处理技术的重要组成部分，广泛应用于诸如信号分离、恢复、整形等多种场合中。为了使信号不失真及在可编程逻辑器件中容易实现，采用具有严格线性相位特性的FIR滤波器进行低通滤波（0-150Hz），用整系数梳状滤波器来去工频干扰及基线漂移,从而达到对心电信号进行预处理的目的。(Electrocardiogram (ECG) is an important method for clinical diagnosis of cardiovascular diseases. As an important part of digital signal processing technology, digital filtering is widely applied to many occasions, such as signal separation, recovery, shaping and so on. In order to make the signal undistorted and easy to be realized in programmable logic device, the FIR filter with strict linear phase characteristics is used for low pass filtering (0-150Hz), and the entire coefficient comb filter is used to get the interference of the power frequency and the baseline drift, thus the purpose of preprocessing the ECG signal is achieved.)

基于提升格式的整数小波变换及其编解码( And its arranges based on the promotion form integer wavelet transformation decodes )

小波变换在故障诊断中的应用 441 18.1 引言 441 18.2 基本原理 442 18.3 小波变换在轴承故障诊断中的应用 444 18.3.1 轴承外环故障诊断 444 18.3.2 轴承滚动体故障诊断 448 18.4 小波变换在齿轮故障诊断中的应用 450 18.5 小波包在轴承故障诊断中的应用 452 18.5.1 轴承外环故障诊断 453 18.5.2 轴承滚动体故障诊断 454(wavelet transform fault diagnosis of Introduction 441 18.1 441 18.2 442 basic tenets 18.3 wavelet transform bearing fault diagnosis of 444 18.3.1 ring bearing 444 1 Fault Diagnosis 8.3.2 rolling bearings Fault Diagnosis 448 18.4 wavelet transform in Gear Fault Diagnosis of 450 1 8.5 wavelet packet bearing fault in the diagnosis of 452 18.5.1 ring bearing fault diagnosis 453 18. 5.2 roller bearings Fault Diagnosis 454)

离散小波变换与离散小波反变换 快速小波变换（Mallat小波分解算法）：对一幅图像做2级小波分解（离散小波变换）与合成（离散小波反变换）(Discrete wavelet transform and discrete wavelet inverse transform fast wavelet transform (Mallat wavelet decomposition): For an image to do 2 wavelet transform (DWT) and synthesis (discrete wavelet inverse transform))