基于提升框架的传统小波研究  

Traditional Wavelet Research Based on Lifting Scheme

作　　者：吴永宏[1] 潘泉[1] 张洪才[1] 张绍武[1] 

机构地区：[1]西北工业大学自动控制系,西安710072

出　　处：《信号处理》2003年第3期194-198,共5页Journal of Signal Processing

基　　金：教育部"跨世纪优秀人才培养计划项目"基金;国家自然科学基金(60172037)

摘　　要：提升框架的核心思想是通过有限步预测和更新来构造小波滤波器。由于传统小波的多相矩阵可以分解为多个矩阵的乘积,本文从原理上说明了这些矩阵可以看作是预测算子和更新算子,并给出了具体例子。在例子中,把小波分解变换与重建交换表示成提升框架的形式,说明了提升框架对传统离散小波变换具有包容性。The key idea of the lifting scheme is constructing wavelet filters by several predict operators and update operators. As we know that the polyphase matrix can be factored into finite matrixes, the principle of these matrixes being regarded as the predict operators and update operators is discussed in this paper. And examples are given. The decomposition transform and reconstruction transform are expressed in the lifting scheme. So the traditional and discrete wavelet can be included by the lifting scheme.

关 键 词：信号处理 数学分析 滤波器 小波 提升框架 多分辨率分析 

分 类 号：TN911.7[电子电信—通信与信息系统]