基于提升格式的紧支集双正交小波的设计  

Construction of compactly supported biorthogonal wavelet based on lifting scheme

作　　者：梁茜[1] 丁宣浩[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《计算机工程与应用》2007年第35期222-225,共4页Computer Engineering and Applications

基　　金：国家自然科学基金( the National Natural Science Foundation of China under Grant No.10361003);广西省自然科学基金( the Natural Science Foundation of Guangxi Province of China under Grant No.0542046); 广西研究生教育创新计划项目 ( Innovation Project Guangxi Graduate Edueation No.2006105950701M03)

摘　　要：通过研究提升格式构造完全重构滤波器的方法,并结合传统的双正交小波的构造理论,得到了构造基于提升格式的双正交紧支集小波的方法。同时列举滤波器长度为4-4,消失矩为2-1的基于提升格式的双正交小波的构造实例。将所构造出的小波实例用于信号和图像消噪,发现在滤波器长度相同的前提下,基于提升格式的小波的消噪效果优于普通小波,并且用自适应的方法在已求得的范围内找出达到最佳消噪效果的自由变量的取值。Basing of construction perfect reconstruction filter and together with traditional construction biorthonormal wavelet theory,we obtain the method which constructs compactly supported biorthogonal wavelet based on lifting scheme.And an example about the construction of biorthonormal wavelet with length 4-4 and with vanishing moment 2-1 is given.Some other examples of wavelet are applied to signal denoise.We can find a result that with some length,wavelet based on lifting scheme denoises better than ordinary wavelet,we also using adaptive method to search free variable,which is denoised best.

关 键 词：提升格式 双正交小波 完全重构条件 紧支集 

分 类 号：TN911[电子电信—通信与信息系统]