13-8

此代码是用在被成为数学魔法师的MAPLE软件上运行的。此代码清晰的描述了欧拉公式的图象变换。以及如何在MAPLE里解欧拉公式。(This code is used in the magician to become the MAPLE mathematical software running. This code describes a clear image transform Euler formula. And how to MAPLE Euler formula in solution.)

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)

小波变换，反变换，以及提升小波变换，包括97小波，及53小波(Wavelet transform, inverse transform, as well as the lifting wavelet transform, including the 97 wavelet, and 53 wavelet)

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.)

近10种matlab基于小波变换的图像处理程序！ （M文件）(nearly 10 species of Matlab based on wavelet transform image processing procedures. (M))

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.)

wavelet analysis of an image

对图像进行脊波变换，包含实例，与小波变换的对比实例(Ridgelet image transformation, including examples of the contrast with the example of wavelet transform)

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.)

1.实现非抽样提升小波包三层分解 2.有效解决了小波包分解频带交错问题 3.有效输出频谱图(1 non-sampling improved wavelet packet three decomposition. Effective solution to the wavelet packet decomposition band interlacing problems. Effective output spectrogram)