Frontiers of Mathematics in China >

2014 , Vol. 9 >Issue 6: 1293 - 1308

DOI: https://doi.org/10.1007/s11464-014-0421-3

RESEARCH ARTICLE

Construction of two-direction tight wavelet frames

  • Yan FENG 1,2 ,
  • Shouzhi YANG , 2
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  • 1. School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China
  • 2. Department of Mathematics, Shantou University, Shantou 515063, China

Received date: 12 Jul 2011

Accepted date: 21 Jun 2014

Published date: 29 Oct 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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

Cite this article

Yan FENG , Shouzhi YANG . Construction of two-direction tight wavelet frames[J]. Frontiers of Mathematics in China, 2014 , 9(6) : 1293 -1308 . DOI: 10.1007/s11464-014-0421-3

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