Construction tight wavelet of two-direction frames  

作　　者：Yan FENG Shouzhi YANG 

机构地区：[1]School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China [2]Department of Mathematics, Shantou University, Shantou 515063, China

出　　处：《Frontiers of Mathematics in China》2014年第6期1293-1308,共16页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 11071152）, the Natural Science Foundation of Guangdong Province （Grant No. $2011010004511） Education Department of Henan Province and the Science and Technology Research of （Grant No. 14B520045）.

摘　　要：We investigate the construction of two-direction tight wavelet frames First, a sufficient condition for a two-direction refinable function generating two-direction tight wavelet frames is derived. Second, a simple constructive method of two-direction tight wavelet frames is given. Third, based on the obtained two-direction tight wavelet frames, one can construct a symmetric multiwavelet frame easily. Finally, some examples are given to illustrate the results.We investigate the construction of two-direction tight wavelet frames First, a sufficient condition for a two-direction refinable function generating two-direction tight wavelet frames is derived. Second, a simple constructive method of two-direction tight wavelet frames is given. Third, based on the obtained two-direction tight wavelet frames, one can construct a symmetric multiwavelet frame easily. Finally, some examples are given to illustrate the results.

关 键 词：Two-direction refinable function two-direction tight wavelet frame two-direction quadrature mirror filter （TQMF） condition multiwavelet symmetry 

分 类 号：O174.2[理学—数学] O157[理学—基础数学]