Uncertainty Principle corresponding to an orthonormal wavelet system

DOI10.1080/00036811.2016.1274025zbMath1471.42074OpenAlexW2569673305MaRDI QIDQ5856164

Niraj K. Shukla, Anupam Gumber

Publication date: 24 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1274025

zbMATH Keywords

waveletuncertainty principletime-frequency localization

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) General harmonic expansions, frames (42C15)

Related Items (4)

Pairwise orthogonal frames generated by regular representations of LCA groups ⋮ Finite dual \(\mathbf{g} \)-framelet systems associated with an induced group action ⋮ Perturbations on \(K\)-fusion frames ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles

Cites Work

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• Multidimensional periodic multiwavelets
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• Sequences with minimal time-frequency uncertainty
• Wavelet frames and shift-invariant subspaces of periodic functions
• An Introduction to Wavelets Through Linear Algebra
• Uncertainty principles and ideal atomic decomposition
• A generalized uncertainty principle and sparse representation in pairs of bases

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