Approximately dual Gabor frames and almost perfect reconstruction based on a class of window functions

DOI10.1007/s10444-018-9595-7zbMath1404.42064OpenAlexW2789969273WikidataQ130182759 ScholiaQ130182759MaRDI QIDQ1633011

Hong Oh Kim, Ole Christensen, Rae Young Kim, Augustus J. E. M. Janssen

Publication date: 18 December 2018

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

Full work available at URL: https://orbit.dtu.dk/en/publications/47934658-8467-44ee-9fa3-d105614c8c4a

zbMATH Keywords

Gaussianframesapproximately dual framesalmost perfect reconstructiontwo-sided exponential

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (4)

Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors ⋮ Unnamed Item ⋮ Approximately dual pairs of wavelet frames ⋮ Gabor Expansions of Signals: Computational Aspects and Open Questions

Cites Work

• Construction of approximate dual wavelet frames
• Frequency-scale frames and the solution of the Mexican hat problem
• B-spline approximations of the Gaussian, their Gabor frame properties, and approximately dual frames
• Approximate dual Gabor atoms via the adjoint lattice method
• On generating tight Gabor frames at critical density
• Some Weyl-Heisenberg frame bound calculations.
• Nonstationary Gabor frames -- approximately dual frames and reconstruction errors
• Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
• An introduction to frames and Riesz bases

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