The multiple-parameter fractional Fourier transform

DOI10.1007/s11432-008-0073-6zbMath1153.65128OpenAlexW2074001190MaRDI QIDQ954423

Yue Wang, Ran Tao, Jun Lang, Qi-Wen Ran

Publication date: 10 November 2008

Published in: Science in China. Series F (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11432-008-0073-6

zbMATH Keywords

numerical examplessignal processingmultiple-parameter fractional Fourier transformmultiplicity of the fractional Fourier transformweight-type fractional Fourier transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (1)

The discrete multiple-parameter fractional Fourier transform

Cites Work

• Detection and parameter estimation of multicomponent LFM signal based on the fractional Fourier transform
• New sampling formulae related to linear canonical transform
• Fractional Fourier domain analysis of decimation and interpolation
• Research progress of the fractional Fourier transform in signal processing
• A unified framework for the fractional Fourier transform
• Unified fractional Fourier transform and sampling theorem
• Multiplicity of fractional Fourier transforms and their relationships
• On Namias's Fractional Fourier Transforms
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Generalized fractional Fourier transforms
• Spectral Analysis and Reconstruction for Periodic Nonuniformly Sampled Signals in Fractional Fourier Domain
• Sampling and Sampling Rate Conversion of Band Limited Signals in the Fractional Fourier Transform Domain
• General multifractional Fourier transform method based on the generalized permutation matrix group

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