a尺度紧支撑双正交多小波的提升格式的构造

a尺度紧支撑双正交多小波的提升格式的构造 The Lifting Scheme for Compactly Supported Biorthogonal Multiwavelets of Dilation Factor a 戴宏亮 DAI Hong\|liang 1 2 first-author 羿旭明 YI Xu\|ming 1 2 武汉大学数学与统计学院 武汉大学数学与统计学院 School of Mathematics and Statistics, Wuhan University School of Mathematics and Statistics, Wuhan University 武汉大学数学与统计学院,湖北,武汉,430072 武汉大学数学与统计学院,湖北,武汉,430072 给出了构造a尺度紧支撑双正交多小波的提升格式的推导过程、分解形式及其证明 ,最后提出了一种有效的构造算法 The lifting scheme is a flexible method for constructing wavelets of dilation factor 2. Here it was extended to the multiwavelets of dilation a . We give the deduction course about the lifting scheme for compactly supported biorthogonal multiwavelets of dilation factor a , the form of factorization,and the proof. Finally we obtain a effective algorithm. 提升格式 a尺度 双正交多小波 lifting scheme dilation factor a biorthogonal multiwavelets O174.2 国家自然科学基金资助项目 （1 960 2 0 1 4 ） 2003-01-01 2021-04-01 1