摘要
证明了提升格式保持小波对称性的定理；从一组不能生成Ｌ２（Ｒ）对偶Ｒｉｅｓｚ基的滤波出发，利用提升格式，得到一组新的双正交滤波集，并证明它们生成Ｌ２（Ｒ）的双正交紧支小波Ｒｉｅｓｚ基．
A theorem about the lifted biorthogonal filters preserving the symmetry on the basis of the lifting scheme is proved. By means of the lifting scheme , a set of new filters which exactly generate biorthogonal Riesz bases of compactly supported wavelets for L2(R) is obtained from a set of initial filters which dont generate dual Riesz bases.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
1998年第4期38-42,共5页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
广东省自然科学基金
