Modified ambiguity function and Wigner distribution associated with quadratic-phase Fourier transform

DOI10.1007/S00041-023-10058-8OpenAlexW4390578974MaRDI QIDQ6201303

Tien Minh Lai

Publication date: 25 March 2024

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

Full work available at URL: https://doi.org/10.1007/s00041-023-10058-8

zbMATH Keywords

convolutionambiguity functionWigner distributionlinear canonical transformsingle-and multi-component LFM signal

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Cites Work

• Unnamed Item
• Quadratic Fourier transforms
• New convolutions for quadratic-phase Fourier integral operators and their applications
• Wigner-Ville distribution associated with the linear canonical transform
• Symplectic geometry and quantum mechanics
• Fractional Fourier Transform, Wigner Distribution, and Filter Design for Stationary and Nonstationary Random Processes
• Time-Frequency Representation Based on an Adaptive Short-Time Fourier Transform
• Relations between fractional operations and time-frequency distributions, and their applications

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