A fractional Gabor expansion.

DOI10.1016/J.JFRANKLIN.2003.08.004zbMath1036.93047OpenAlexW2107267861MaRDI QIDQ1420544

Yalçın Çekiç, Aydin Akan

Publication date: 2 February 2004

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2003.08.004

zbMATH Keywords

time-frequency analysisGabor expansionsfractional Fourier transforms

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Fractional derivatives and integrals (26A33) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (2)

Windowed special affine Fourier transform ⋮ Fractional Fourier transform as a signal processing tool: an overview of recent developments

Cites Work

• Multi-window Gabor expansion for evolutionary spectral analysis
• A four-parameter atomic decomposition of chirplets
• Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform
• Matching pursuits with time-frequency dictionaries
• Shear madness: new orthonormal bases and frames using chirp functions
• Gabor's signal expansion and the Gabor transform on a non-separable time-frequency lattice
• Evolutionary chirp representation of non-stationary signals via Gabor transform

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