A unified framework for the fractional Fourier transform

DOI10.1109/78.735297zbMath1012.94509OpenAlexW2054613697MaRDI QIDQ2724220

Nicola Laurenti, Tomaso Erseghe, Peter Kraniauskas, Gianfranco Cariolaro

Publication date: 24 July 2001

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/49a49d495612574c38fffb1f5522cb32184a4595

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Harmonic analysis in one variable (42A99)

Related Items (8)

Oversampling analysis in fractional Fourier domain ⋮ Analysis of Dirichlet and generalized ``Hamming window functions in the fractional Fourier transform domains ⋮ Generalized entropic uncertainty principle on fractional Fourier transform ⋮ A unified framework for the fractional Fourier transform ⋮ The multiple-parameter fractional Fourier transform ⋮ Research progress on discretization of fractional Fourier transform ⋮ Fractional Fourier transform as a signal processing tool: an overview of recent developments ⋮ Filterbank implementation for multi-channel sampling in fractional Fourier domain

Cites Work

• A unified framework for the fractional Fourier transform
• Multiplicity of fractional Fourier transforms and their relationships
• Channel identification for high speed digital communications
• General multifractional Fourier transform method based on the generalized permutation matrix group

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