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多小波的插值条件与平衡性研究
引用本文:程蓉,赵宇,李万社. 多小波的插值条件与平衡性研究[J]. 中北大学学报(自然科学版), 2009, 30(2)
作者姓名:程蓉  赵宇  李万社
作者单位:中北大学,理学院,山西太原030051;中北大学,信息与通信工程学院,山西太原030051;陕西师范大学,数学与信息科学学院,陕西西安710062
摘    要:在简要分析多小波的逼近性与平衡性的基础上,通过简短的证明得出了具有一定平衡阶的多小波系统,其相应的多尺度函数必具有相同阶逼近的结论.在引入了多小波不同于单小波的插值条件后,得到具有一定逼近阶的多尺度函数,如果同时满足插值条件,则相应系统必然具有相同的平衡阶的结论.

关 键 词:正交多小波  平衡性  插值条件

Study on Interpolating Condition and Balance of Multiwavelet
CHENG Rong,ZHAO Yu,LI Wan-she. Study on Interpolating Condition and Balance of Multiwavelet[J]. Journal of North University of China, 2009, 30(2)
Authors:CHENG Rong  ZHAO Yu  LI Wan-she
Affiliation:1.School of Science;North University of China;Taiyuan 030051;China;2.School of Information and Communication Engineering;3.College of Mathematic and Information Science;Shanxi Normal University;Xi'an 710062;China
Abstract:On the basis of a simple analysis of approximation and balance of multiwavelet,a simple proof is given to deduce that a multiwavelet system with given balancing order must have a multiscaling function with the same approximation order.After introducing the special interpolating condition of multiwavelet,the conclusion is that if a multiscaling function has a given approximation order and satisfies the interpolating condition simultaneously,the corresponding system consequentially has the same balancing orde...
Keywords:orthogonal multi-wavelet  balancing  interpolating condition  
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