p-Wavelet frame packets on a half-line using the Walsh–Fourier transform

DOI10.1080/10652469.2010.546623zbMath1238.42014OpenAlexW2163641441MaRDI QIDQ3107313

Lokenath Debnath, Firdous Ahmad Shah

Publication date: 23 December 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.546623

zbMATH Keywords

waveletsframesWalsh-Fourier transformwavelet packets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15)

Related Items

Construction of -stage discrete periodic wave packet frames ⋮ Wave packet systems on local fields ⋮ Fractional wave packet systems in L2(R) ⋮ Construction of periodic wavelet frames generated by the Walsh polynomials ⋮ Tight framelet packets on local fields of positive characteristic ⋮ Construction of biorthogonal wavelet packets on local fields of positive characteristic ⋮ Nonuniform wavelet packets on local fields of positive characteristic ⋮ Characterization of non-stationary wavelets and non-stationary multiresolution analysis wavelets related to Walsh functions ⋮ Minimum-energy wavelet frames generated by the Walsh polynomials ⋮ Biorthogonal $p$-wavelet packets related to the Walsh polynomials ⋮ TIGHT WAVELET FRAMES GENERATED BY THE WALSH POLYNOMIALS ⋮ Explicit construction ofM-band tight framelet packets

Cites Work

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• Fractal multiwavelets related to the Cantor dyadic group
• Biorthogonal wavelet bases on \(\mathbb{R}^ d\)
• Orthogonal wavelets with compact support on locally compact Abelian groups
• CONSTRUCTION OF WAVELET PACKETS ON p-ADIC FIELD
• Ten Lectures on Wavelets
• On the Splitting Trick and Wavelet Frame Packets
• Nontensor Product Wavelet Packets in $L_2 (\mathbb{R}^s )$
• Orthogonal Wavelets on the Cantor Dyadic Group
• Nonorthogonal Wavelet Packets
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