From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa

DOI10.1016/j.acha.2013.03.005zbMath1302.42047OpenAlexW1969604905MaRDI QIDQ2252207

Ole Christensen, Say Song Goh

Publication date: 16 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.acha.2013.03.005

zbMATH Keywords

dual frameswavelet framesGabor framesMeyer's waveletShannon's wavelet

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (14)

Pairs of dual Gabor frames generated by functions of Hilbert-Schmidt type ⋮ Characterization and stability of approximately dual g-frames in Hilbert spaces ⋮ Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups ⋮ On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group ⋮ Characterizations and Representations of H-S-Frames in Hilbert Spaces ⋮ Gabor analysis as contraction of wavelets analysis ⋮ Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces ⋮ Subspace dual super wavelet and Gabor frames ⋮ Gabor windows supported on \([- 1, 1\) and construction of compactly supported dual windows with optimal smoothness] ⋮ Generalized framing and Riesz-dual sequences in Banach spaces ⋮ Interpolation and sampling with exponential splines of real order ⋮ A class of warped filter bank frames tailored to non-linear frequency scales ⋮ Continuous warped time-frequency representations. Coorbit spaces and discretization ⋮ Discrete Wavelet Transforms in the Large Time-Frequency Analysis Toolbox for MATLAB/GNU Octave

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