Sampling of bandlimited signals in the offset linear canonical transform domain based on reproducing kernel Hilbert space

DOI10.1142/S0219691319500541zbMath1434.94045OpenAlexW2955446950MaRDI QIDQ5221432

Xiang Li, Zhiwei Chen, Shuiqing Xu, Yi Chai, Yi-Gang He

Publication date: 25 March 2020

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/s0219691319500541

zbMATH Keywords

orthogonal basisreproducing kernel Hilbert spacenonuniform samplingoffset linear canonical transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Cites Work

• Unnamed Item
• Spectral analysis of sampled band-limited signals in the offset linear canonical transform domain
• General sampling theorems for functions in reproducing kernel Hilbert spaces
• Reproducing kernels and the use of root loci of specific functions in the recovery of signals from nonuniform samples
• 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
• On Sampling of Band-Limited Signals Associated With the Linear Canonical Transform
• The linear canonical wavelet transform on some function spaces
• Sampling and Reconstruction in Arbitrary Measurement and Approximation Spaces Associated With Linear Canonical Transform
• Sampling-50 years after Shannon
• Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
• The properties of generalized offset linear canonical Hilbert transform and its applications
• Linear Canonical Transformations and Their Unitary Representations