Discrete Gabor transforms: The Gabor-Gram matrix approach

DOI10.1007/BF02475925zbMath0915.65145MaRDI QIDQ1271499

Sigang Qiu

Publication date: 15 June 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59550

zbMATH Keywords

iterative algorithmnumerical examplesfast Fourier transformsconjugate gradient algorithmdiscrete Gabor transformdual Gabor windowsGabor coefficientsGabor-Gram matrix

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (6)

Directional frames for image recovery: multi-scale discrete Gabor frames ⋮ Efficient algorithms for the discrete Gabor transform with a long FIR window ⋮ On the construction of discrete orthonormal Gabor bases on finite dimensional spaces ⋮ Gabor analysis over finite Abelian groups ⋮ A universal identifier for communication channels ⋮ Discrete Gabor frames in $\ell ^2(\mathbb {Z}^d)$

Cites Work

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• Gabor representation of generalized functions
• Generalized dual Gabor atoms and best approximations by Gabor family
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• Matrix Analysis
• The wavelet transform, time-frequency localization and signal analysis
• The Order of Computation for Finite Discrete Gabor Transforms
• Discrete Gabor transform
• Oversampling in the Gabor scheme

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