Multivariate Dynamical Sampling in and Shift-Invariant Spaces Associated with Linear Canonical Transform

DOI10.1080/01630563.2022.2051185zbMath1492.94046arXiv2110.14167OpenAlexW4220904778MaRDI QIDQ5085203

Li Xiao, Haiye Huo

Publication date: 27 June 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14167

zbMATH Keywords

shift-invariant spaceslinear canonical transform (LCT)multivariate dynamical sampling

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) Sampling theory in information and communication theory (94A20)

Cites Work

• Unnamed Item
• Sampling of linear canonical transformed signals
• Dynamical sampling and frame representations with bounded operators
• Dynamical sampling: time-space trade-off
• Dynamical sampling on finite index sets
• Nonuniform sampling for random signals bandlimited in the linear canonical transform domain
• Exact reconstruction of signals in evolutionary systems via spatiotemporal trade-off
• Lattices sampling and sampling rate conversion of multidimensional bandlimited signals in the linear canonical transform domain
• Dynamical sampling
• Dynamical sampling for shift-preserving operators
• Dynamical Sampling in Shift-Invariant Spaces
• Periodic Nonuniform Dynamical Sampling in ℓ²(ℤ) and Shift-Invariant Spaces
• On Sampling of Band-Limited Signals Associated With the Linear Canonical Transform
• Distributed Sampling of Signals Linked by Sparse Filtering: Theory and Applications
• Sampling and Reconstruction of Signals in Function Spaces Associated With the Linear Canonical Transform
• Filter Design for Constrained Signal Reconstruction in Linear Canonical Transform Domain
• Multivariate Dynamical Sampling in ℓ2(ℤd) and Shift-Invariant Spaces
• Exact and Robust Reconstructions of Integer Vectors Based on Multidimensional Chinese Remainder Theorem (MD-CRT)
• High-Resolution Distributed Sampling of Bandlimited Fields With Low-Precision Sensors

This page was built for publication: Multivariate Dynamical Sampling in and Shift-Invariant Spaces Associated with Linear Canonical Transform