Window-dependent bases for efficient representations of the Stockwell transform

DOI10.1016/j.acha.2015.02.002zbMath1335.42002arXiv1406.0513OpenAlexW2963355905MaRDI QIDQ905906

L. Riba, Ubertino Battisti

Publication date: 28 January 2016

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0513

zbMATH Keywords

wavelet transformorthonormal basisshort-time Fourier transformStockwell transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Numerical methods in Fourier analysis (65T99)

Related Items (6)

Quaternion linear canonical S-transform and associated uncertainty principles ⋮ Stockwell-like frames for Sobolev spaces ⋮ S-transform based on optimally concentrated time-limited and band-limited windows ⋮ A family of convolution-based generalized Stockwell transforms ⋮ Linear canonical Stockwell transform ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles

Uses Software

• DOST

Cites Work

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