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arXiv · 2409.01165

On criteria for periodic wavelet frame

Anastassia Gorsanova·Elena Lebedeva
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Abstract

We provide constructive necessary and sufficient conditions for a family of periodic wavelets to be a Parseval wavelet frame. The criterion generalizes unitary and oblique extension principles. The case of one wavelet generator and refinable functions being trigonometric polynomials is discussed in details.

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Anastassia Gorsanova, Elena Lebedeva. 2024-09-02. On criteria for periodic wavelet frame. https://arxiv.org/abs/2409.01165

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