摘要
在二进提升方案相关理论的基础上,结合双正交性、消失矩性和对称性条件,提出一种构造提升双正交小波的新方法.此方法从二进小波出发,考虑小波所具有的特性,通过选取适当的提升参数,具体构造了具有紧支撑、对称性、高阶消失矩和速降性的提升双正交小波.
A new method for designing biorthogonal wavelet filters by dyadic lifting scheme is proposed. On the basis of the theory of the dyadic lifting scheme, a new method is proposed to construct the biorthogonal wavelet, which is based on the condition of biorthogonality, vanishing moment and symmetry. This method from the dyadic wavelet, considering the characteristics of wavelet has, by choosing appropriate parameters of lifting, concrete structure with compact support,symmetry, and high vanishing moments and downhill for the improvement of the biorthogonal wavelet.
作者
吐尔洪江.阿布都克力木
阿丽亚.玉山
黄允浒
Turghunjan Abdukirim Turki Aliya Yushan Huang Yunhu(School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China)
出处
《纯粹数学与应用数学》
2017年第3期221-229,共9页
Pure and Applied Mathematics
基金
国家自然科学基金(61362039
11261061
10661010)
新疆维吾尔自治区自然科学基金(200721104)
新疆师范大学应用数学重点学科基金
关键词
二进提升方案
双正交小波
有限长度
消失矩
对称性
dyadic lifting scheme
biorthogonal wavelets
finite length
vanishing moment
symmetry
