Periodic wavelet frames

DOI10.1007/s10444-004-3139-zzbMath1063.42032OpenAlexW1973347232MaRDI QIDQ1767053

Zhi Hua Zhang

Publication date: 4 March 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-3139-z

zbMATH Keywords

periodizationperiodic wavelet frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (10)

Construction of periodic wavelet frames generated by the Walsh polynomials ⋮ On sufficient frame conditions for periodic wavelet systems ⋮ Theoretical frame properties of wave-packet matrices over prime fields ⋮ Construction of approximate dual wavelet frames ⋮ Construction of nonuniform periodic wavelet frames on non-Archimedean fields ⋮ Local analysis, cardinality, and Split trick of quasi-biorthogonal frame wavelets ⋮ Convergence and Gibbs phenomenon of periodic wavelet frame series ⋮ The construction of multivariate periodic wavelet bi-frames ⋮ Constructions of periodic wavelet frames using extension principles ⋮ Cyclic wave packet transform on finite Abelian groups of prime order

Cites Work

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• Ten Lectures on Wavelets
• Weyl-Heisenberg frames for subspaces of $L^2(R)$
• Continuous and Discrete Wavelet Transforms
• A Class of Nonharmonic Fourier Series
• Orthonormal wavelets and tight frames with arbitrary real dilations
• On frame wavelets associated with frame multiresolution analysis
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