Wavelet frames with matched masks
Elena A. Lebedeva
TL;DR
This paper introduces a new wavelet frame with compact support and many vanishing moments, where the refinement mask closely approximates any continuous periodic function, ensuring stability and desirable mathematical properties.
Contribution
It presents a novel construction of Parseval wavelet frames with matched masks that approximate continuous functions and have stable integer shifts.
Findings
Constructed wavelet frames with compact support and vanishing moments.
Refinement masks approximate arbitrary continuous periodic functions.
Refinably functions have stable integer shifts.
Abstract
In the paper we design a Parseval wavelet frame with a compact support and many vanishing moments. The corresponding refinement mask approximates an arbitrary continuous periodic function , . The refinable function has stable integer shifts.
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Taxonomy
TopicsMathematical Analysis and Transform Methods