chapter10

Second generation wavelets and applications

本文介绍了局部放电信号的消噪方法，主要基于改进的小波消噪和序列脉冲分析手段来实现。(This paper presents a de-noising method for partial discharge (PD) online monitoring of transformers. The method is based on an improved wavelet de-noising approach and a pulse-sequence analysis method.)

自己编写的基于指数遗忘快速算法改进的morlet小波变换程序(I have written forgotten fast algorithm based on the index improved wavelet transform morlet procedure)

说明：  针对不同采样频率和输入信噪比的心磁信号进行滤波操作，呈现出对同一输入信号采取不同滤波算法的去噪结果。(The filtering operation is performed on the magnetic heart signals of different sampling frequencies and input signal-to-noise ratios, showing the denoising results of different filtering algorithms for the same input signal.)

自己编写的αβγ滤波器工具函数，能够实现其滤波和平滑功能(Αβγ filter tool to write your own functions to achieve its filtering and smoothing function)

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)

基于MATLAB的GS算法的高斯光束整形设计(Designof BinaryOptical Element withMATLAB)

小波变换 求模极大值 三次B样条小波变换 希望对大家有帮助 (Wavelet transform modulus maxima cubic B-spline wavelet transform and we hope to)

原子分解软件，包含各类字典（DCT，wavelet）(a software of atom decompose,including kinds of dictionaries(DCT,wavelet))

本文通过比较第一代和第二代小波算法特点,引入二代小波提升结构的概念,提出了一种基于二代小波提升结构的快速图像边缘检测算法 对三次B样条小波基实现提升格式,通过计算大尺度下分解子图的模值和幅角来确定边缘 经过实验比较,能比经典的边缘检测算法得出更精确的边缘图像,同时通过与基于第一代小波算法的边缘检测比较,基于二代小波提升格式的边缘检测算法计算更快速,更高效。(In this paper, by comparing first-and second-generation wavelet algorithm features, the introduction of second generation wavelet to enhance the concept of structure, a second generation wavelet-based structure to enhance the rapid image edge detection algorithm on the three B-spline wavelet lifting scheme to achieve through Calculation of large-scale mold subgraph decomposition value and increase the edge angle to determine the experimental comparison, than the classical edge detection algorithm to draw a more accurate edge image, at the same time with the first generation of wavelet-based edge detection algorithm comparison, based on the Second generation wavelet lifting scheme edge detection algorithm is faster and more efficient.)