Research on method of non-Bayesian filtering based on wavelet

对近几年来小波域滤波方法的研究现状与新发展进行归纳总结。一方面从算法思想,原理和优缺点等角度对近年来所提出的较有代表性的小波滤波算法进行分析概括;另一方面选择一些典型的滤波算法和一些常用的信号,主要从信噪比(Snr)和均方误差(MSE)两个方面进行实验,并分别就同一种滤波算法,不同的信号以及同一个信号,不同的滤波算法的滤波情况进行对比分析。最后通过结合上述分析给出小波滤波的研究热点、难点、不足和有待解决的一些问题。This paper summarizes the research and development of the wavelet filtering method in recent years.On the one hand,it summarizes the recent and representative wavelet filtering algorithms from the ideology,principles,advantages,disadvantages,and other aspects of algorithms.On the other hand,some typical filtering algorithms and some common signals are selected to the experimental result mainly from the Signal-to-Noise Ratio(SNR) and the Mean Square Error(MSE).And the effects of different filtering algorithms are compared and analyzed separately from a filter algorithm with different signals and a signal with different filtering algorithms.Finally,the hot,the difficulty,the deficiency and other issues unresolved of wavelet filtering are proposed through the combination of the above analysis.国家985工程重点项目No.0000-X0720

Parameters' algorithm of semisoft shrinkage based on wavelet transforms

小波域阈值滤波因其实现最简单,计算量最小而得到广泛的应用,但对不同信号而言,其阈值函数的选择将直接影响到滤波效果。由gAOHOngyE提出的半软阈值法,因其参数实现算法的复杂度大而没有得到有效的应用。结合小波理论与模糊理论对半软阈值函数的参数提出一种新的计算算法,大大减少了算法实现的复杂度,并对其进行试验仿真,取得了良好的效果。The waveshrink has been widely used in the filtering because of the simplest realization and the smallest amount of computation.According to the different signals,the filtering effect will be directly affected by the choice of shrinkage function.The semisoft shrinkage proposed by Gao HongYe has not been effectively applied because of the complexity of the parameters’ algorithm.In this paper,a new calculation algorithm of semisoft shrinkage function is proposed through combining wavelet theory with fuzzy theory,and it can greatly simplify the complexity of the algorithm.And also the experimental simulation shows that it has obtained the good results.国家985工程中的重点项目(No.0000-X07204

Comparison of Non-Bayesian Wavelet Filtering Method and Research of Threshold Value Filtering Algorithm

小波的出现在数学界引起了广泛的关注，其理论与应用得到了空前的发展，已成为信号、图像处理领域一个主要的研究方向。作为小波理论与应用的重要分支，十几年来，小波滤波的理论及应用也得到了很大的发展，标志着一种新的信号滤波方法的出现。 小波滤波的机理是基于信号与噪声的小波系数的尺度上的不同性质，采用相应规则，对含噪信号的小波系数进行取舍、抽取或切削等非线性处理，以达到去除噪声的目的。小波滤波研究主要集中在三个方向，包括基于信号奇异性的模极大值重构滤波、基于信号尺度间相关性的空域相关滤波和基于小波变换解相关性的小波域阈值滤波，并且在医学图像和SAR图像滤波、压缩等领域得到了较为成功的应用。 小波域阈值...The appearance of wavelet has aroused the widespread interest in the field of mathematics, its theory and application obtained the unprecedented development, and it has become a main research direction of the signal and image processing. The wavelet theory and application as an important branch, the wavelet filter's theory and application also obtained the prodigious development for several years,...学位：工学硕士院系专业：信息科学与技术学院自动化系_控制理论与控制工程学号：2322006115252