New quadratic phase Wigner distribution and ambiguity function with applications to LFM signals
DOI10.1007/S11868-024-00609-YzbMATH Open1539.42004MaRDI QIDQ6536870
Ahmad Asiri, [[Person:6179837|Author name not available (Why is that?)]], Mohammad Younus Bhat, Manal Z. M. Abdalla
Publication date: 14 May 2024
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Wigner distributionLFM signalquadratic-phase Fourier transformconvolution and correlationMoyal's formulae
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convolution as an integral transform (44A35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) 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) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
Cites Work
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- Quadratic Fourier transforms
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- Ambiguity functions, Wigner distributions and Cohen's class for LCA groups
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- Radar Ambiguity Functions and Group Theory
- Time-frequency representations of Wigner type and pseudo-differential operators
- Uncertainty principles for the quadratic‐phase Fourier transforms
- Linear perturbations of the Wigner distribution and the Cohen class
- Metaplectic Gabor frames and symplectic analysis of time-frequency spaces
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