Construction of two-direction tight wavelet frames

doi:10.1007/s11464-014-0421-3

Frontiers of Mathematics in China

2014, Vol. 9

Issue (6): 1293-1308 https://doi.org/10.1007/s11464-014-0421-3

本期目录

Construction of two-direction tight wavelet frames

Yan FENG^1,²,Shouzhi YANG^2,^*(

)

1. School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China
2. Department of Mathematics, Shantou University, Shantou 515063, China

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Abstract：

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.

Key words： Two-direction refinable function two-direction tight wavelet frame two-direction quadrature mirror filter (TQMF) condition multiwavelet symmetry

收稿日期: 2011-07-12 出版日期: 2014-10-29

Corresponding Author(s): Shouzhi YANG

引用本文:

. [J]. Frontiers of Mathematics in China, 2014, 9(6): 1293-1308.
Yan FENG,Shouzhi YANG. Construction of two-direction tight wavelet frames. Front. Math. China, 2014, 9(6): 1293-1308.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-014-0421-3
https://academic.hep.com.cn/fmc/CN/Y2014/V9/I6/1293

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