多尺度三元小波紧框架滤波器的构造  

Construction for Filter Banks of the Three-dimensional Multi-scale Tight Wavelet Frames

作　　者：蔡川丽 陈清江[2] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000 [2]西安建筑科技大学理学院,陕西西安710055

出　　处：《延安大学学报（自然科学版）》2017年第1期16-20,共5页Journal of Yan'an University：Natural Science Edition

基　　金：国家自然科学基金项目(61403298);陕西省自然科学基金项目(2015JM1024);延安大学科研项目(YDQ2016-23)

摘　　要：研究了多尺度三元小波紧框架滤波器的构造。根据框架多分辨分析与相应的尺度函数的滤波器函数所满足的不等式,运用时频分析方法,给出多尺度三元小波紧框架存在的充分条件,进而提供多尺度三元小波紧框架的滤波器的构造方法。Construction for the filter banks of three-dimensional multi-scale tight wavelet frames was studied.Firstly,according to the frame multiresolution analysis and the inequality of the filter function associated with the scaling function,the sufficient condition for the existence of three-dimensional multi-scale tight wavelet frames was provided by using time-frequency analysis method. Secondly,the constructive method for the filter banks for three-dimensional tight wavelet frames were formulated.

关 键 词：框架多分辨分析 紧小波框架 多尺度函数 滤波器函数 

分 类 号：O174.2[理学—数学]