Characterization of Multiframelet Set on Local Fields of Positive Characteristic
Debasis Haldar
TL;DR
This paper characterizes multiframelet, multiwavelet, and super wavelet sets on local fields of positive characteristic, providing conditions for Parseval multiframelet sets and MRA multiwavelet sets using dimension functions.
Contribution
It offers new characterizations and equivalent conditions for multiframelet and multiwavelet sets on local fields of positive characteristic, including MRA structures.
Findings
Characterization of Parseval multiframelet sets
Conditions for multiwavelet sets to hold
Characterization of MRA multiwavelet sets using dimension functions
Abstract
This paper presents a discussion on multiframelet set, multiwavelet set and set correspond to super wavelet on local fields of positive characteristic. We characterize Parseval multiframelet set and give equivalent conditions multiwavelet set holds. Furthurmore, we characterize MRA multiwavelet set with the help of dimension function.
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Advanced Data Compression Techniques