Minimum-energy wavelet frames on local fields

DOI10.1007/S40819-017-0310-ZzbMath1397.42023OpenAlexW2578806838MaRDI QIDQ1792215

Lokenath Debnath, Firdous Ahmad Shah

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0310-z

zbMATH Keywords

Fourier transformlocal fieldextension principlepolyphase matrixwavelet frameminimum-energy framemodulation matrix

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Other nonanalytic theory (11S85) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (1)

A short note on wavelet frames based on FMRA on local fields

Cites Work

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• Frame multiresolution analysis on local fields of positive characteristic
• Minimum-energy frames associated with refinable function of arbitrary integer dilation factor
• Tight wavelet frames on local fields
• Wavelet Transforms and Their Applications
• Periodic Wavelet Frames on Local Fields of Positive Characteristic
• Fourier Analysis on Local Fields. (MN-15)
• Tight framelet packets on local fields of positive characteristic

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