The properties of generalized offset linear canonical Hilbert transform and its applications
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Publication:5348778
DOI10.1142/S021969131750031XzbMath1378.44002OpenAlexW2598624205MaRDI QIDQ5348778
Yi Chai, Lei Huang, Li Feng, Youqiang Hu, Shuiqing Xu
Publication date: 21 August 2017
Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021969131750031x
generalized Hilbert transformoffset linear canonical transformgeneralized analytical signalgeneralized Bedrosian theoremsingle-sideband
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)
Related Items
A version of uncertainty principle for quaternion linear canonical transform ⋮ The extrapolation theorem for discrete signals in the offset linear canonical transform domain ⋮ Sampling of bandlimited signals in the offset linear canonical transform domain based on reproducing kernel Hilbert space ⋮ Nonuniform sampling theorems for bandlimited signals in the offset linear canonical transform
Cites Work
- Spectral analysis of sampled band-limited signals in the offset linear canonical transform domain
- Corner detection in natural images based on the 2-D Hilbert transform
- A simplified proof of uncertainty principle for quaternion linear canonical transform
- Sampling of compact signals in offset linear canonical transform domains
- Some properties of windowed linear canonical transform and its logarithmic uncertainty principle
- Generalized Prolate Spheroidal Wave Functions Associated With Linear Canonical Transform
- Reversible Joint Hilbert and Linear Canonical Transform Without Distortion
- Eigenfunctions of Fourier and Fractional Fourier Transforms With Complex Offsets and Parameters
- Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
- Relations between fractional operations and time-frequency distributions, and their applications
