down-conversion

运行emd,得到输入信号X的固有模态函数（imf），每列代表着信号X的一阶分量，X就是我们采集的信号。 hhtdn是hht去噪的程序，可以不看，仅看emd 和 findpeaks wvtdn是wavelet去噪程序，如果只是分解信号，仅用下面的语句即可 [C,L] = wavedec(x_noise,dl,wn); x_noise就是我们采集的信号，dl是分解的阶数，wn是分解的母小波名称(% Empiricial Mode Decomposition (Hilbert-Huang Transform) % imf = emd(x) % Func : findpeaks)

建立舰船航行的误差模型，通过进行卡尔曼滤波，求出测量曲线与真身曲线的误差曲线(Ship navigation error model established by the Kalman filter, find the measurement curve and the true identity of the error curve curve)

本文研究的是利用奇异性指数实现对设备状态监视和故障预警功能。首先用LabVIEW 采集传感器电信号，然后对采集到的电信 号进行小波变换得到信号包络奇异点的奇异性指数，即设备运行状态的特征值(In this research project, we use LabVIEW to do wavelet-transformation to the signal collected by sensors in order to get singularity index from the singular points of the particular signal’s envelope. Through comparing this eigenvalue to the figures in a standard database, we can know the functional status of the instruments. Not only the diagnoses are continuously displayed, but alarms about signs of dysfunction will also be raised in a proper way. In other words, both the supervision of the instrument and warning of dysfunction can be achieved)

实现心电信号的去噪处理以及波形变化，提取信号周期，同时标记波形的起始点和结束点(Denoising ECG waveform changes, signal extraction cycle, at the same time mark waveform start and end points)

利用Harr将图像进行3层小波变换，并进行重建。里面包含测试图片及变换后系数重新排列后的结构图。(Harr is used to transform the image into three-layer wavelet transform and reconstruct it. It contains the test picture and the structure chart of the coefficient rearrangement after transformation.)

此程序用DWT(离散小波变换)实现二维小波变换(discrete wavelet transform )

本程序实现了db2提升小波的消噪，可直接运行成功。(This program achieved a db2 lifting wavelet denoising can be directly run successfully.)

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.)

说明：  可以对图像实现拉东变换，包含了原始图像与程序，可以自行修改(Radon transform of image can be realized)

实现对图像的gabor小波变换，利用了opencv的函数库，可实现方向和尺度等多项选择。(Achieve image gabor wavelet transform, using the opencv function library, enabling the direction and scale and many other options.)