On refinement masks of tight wavelet frames

E. A. Lebedeva; I. A. Shcherbakov

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arXiv · 2008.08632

On refinement masks of tight wavelet frames

E. A. Lebedeva·I. A. Shcherbakov

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Abstract

In the paper we obtain sufficient conditions for a trigonometric polynomial to be a refinement mask corresponding to a tight wavelet frame. The condition is formulated in terms of the roots of a mask. In particular, it is proved that any trigonometric polynomial can serve as a mask if its associated algebraic polynomial has only negative roots (at least one of them, of course, equals $-1$).

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E. A. Lebedeva, I. A. Shcherbakov. 2020-08-19. On refinement masks of tight wavelet frames. https://arxiv.org/abs/2008.08632

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