Construction of two-direction tight wavelet frames

Yan FENG; Shouzhi YANG

doi:10.1007/s11464-014-0421-3

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Front. Math. China ›› 2014, Vol. 9 ›› Issue (6) : 1293-1308. DOI: 10.1007/s11464-014-0421-3

RESEARCH ARTICLE

Construction of two-direction tight wavelet frames

Yan FENG¹^,² ,
Shouzhi YANG²

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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.

Keywords

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

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Yan FENG, Shouzhi YANG. Construction of two-direction tight wavelet frames. Front. Math. China, 2014, 9(6): 1293‒1308 https://doi.org/10.1007/s11464-014-0421-3

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