FK_Transform

基于小波变换的ECG信号去噪系统设计,在信号采集时，身体的任一微小运动都会产生“基线漂移”，这是一种低频干扰，同时，由于肌电的存在又产生了高频的肌电噪声，由于空间电磁场的存在又使心电信号中混有50Hz的工频干扰。这些噪声不去除，就会影响下一步的信号处理。 综合运用数字信号处理的理论知识进行生物医学信号增强系统设计，实现ECG信号的去噪，从而加深对小波变换及其应用的理解，建立概念多分辨分析的概念，加深理解信号增强的原理、方法和步骤。本设计的主要内容是设计一个基于小波变换的ECG信号去噪系统，实现ECG信号的去噪。 (ECG signal denoising based on wavelet transform system design, signal acquisition, any small movement of the body will have a " baseline drift" , which is a low-frequency interference, while the high frequency due to the existence of the EMG muscle electrical noise due to the presence of electromagnetic field and the ECG signal mixed with a 50Hz power frequency interference. The noise is not removed, it will affect the next step in the signal processing. Use the theoretical knowledge of digital signal processing for biomedical signal enhancement system design to achieve the de-noising of ECG signal, so as to deepen understanding of the wavelet transform and its applications, to establish the concept of multi-resolution analysis of the concept, deepen the understanding of signal enhancement of the principle, the method and steps. The main elements of this design is the design of an ECG signal denoising based on wavelet transform denoising the ECG signals.)

MATLAB实现的高斯平滑滤波源代码，用了高斯函数的定义来做，附实例，效果很好(gauss filter by matlab)

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.)

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.)

设定雷达和目标参数，选取目标中心与雷达的距离为参考距离，采取dechirp方式接收信号，直接对回波信号进行二维FFT得到的成像结果，并采用Keystone法（即重采样法）校正越距离单元徙动。(Set the radar and the target parameters, select the center of the target and the distance from the radar as the reference distance, take reception dechirp signal, directly on the echo signals, the imaging results obtained by the two-dimensional FFT, and the Keystone method (i.e., re-sampling) Vietnam correction range cell migration.)

对二维图像进行压缩感知处理和重建，其中包括小波变换程序、正交匹配跟踪重建信号程序(Compressed sensing, processing and reconstruction of two-dimensional image)

一维小波单支重构函数，一维小波系数直接重构函数(Single one-dimensional reconstruction of wavelet functions, the direct reconstruction of one-dimensional wavelet function)

说明：  关于小波包分析的图像绘制，小波分析，三次分解，单支重构 故障信号(Image registration algorithms based on piecewise linear interpolators (spatiotemporal gradients or block matching) are analyzed to determine subpixel registration accuracy.)

Second generation wavelets and applications

说明：  小波变换和压缩感知中的OMP算法比较，是一种比较新的算法(Wavelet transform and compression perception of the OMP algorithm comparison, is a relatively new algorithm)