井冈山大学学报（自然科学版）2023，Vol.44Issue(4)：1-6,6.DOI:10.3969/j.issn.1674-8085.2023.04.001
空间l2(Z×Z)上正交小波基的频域特征刻画与算法
CHARACTERIZATION AND ALGORITHMS OF ORTHONORMAL WAVELET BASES OF 2l(Z×Z)
摘要
Abstract
Frequency domain characterization of wavelet basis makes constructing wavelet bases painless.In this paper,such description is given for function space ??2(Z×Z).According to the characterization of orthogonal wavelet bases in frequency domain,it could be verified that the product of two orthogonal wavelet bases in one-dimensional space is orthogonal wavelet bases in two-dimensional space.The conditions of perfect reconstruction and the fast decomposition and reconstruction algorithm are also given.关键词
正交小波基/卷积/滤波器组/完美重构Key words
orthonormal wavelet bases/convolution/filter bank/perfect reconstruction分类
数理科学引用本文复制引用
戴银云,易华..空间l2(Z×Z)上正交小波基的频域特征刻画与算法[J].井冈山大学学报（自然科学版）,2023,44(4):1-6,6.基金项目
The Scientific Research Foundation of the Education Bureau of Jiangxi Province(GJJ201009,GJJ211027) （GJJ201009,GJJ211027）
Doctoral Research Startup Project of Jinggangshan University(JZB2014) （JZB2014）
Ji'an Science and Technology Support Project(JSKJZ2014:36-13). （JSKJZ2014:36-13）
