Periodic Nonuniform Dynamical Sampling in ℓ2(ℤ) and Shift-Invariant Spaces

DOI10.1080/01630563.2016.1248565zbMath1412.94142OpenAlexW2591844314MaRDI QIDQ2987806

Rui Li, Bei Liu, Qing Yue Zhang

Publication date: 18 May 2017

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

Full work available at URL: https://doi.org/10.1080/01630563.2016.1248565

zbMATH Keywords

Wiener amalgam spaceshift-invariant spacesperiodic nonuniform samplingdynamical sampling

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Sampling theory in information and communication theory (94A20)

Related Items (3)

Multivariate Dynamical Sampling in and Shift-Invariant Spaces Associated with Linear Canonical Transform ⋮ Dynamical sampling with additive random noise ⋮ Frames induced by the action of continuous powers of an operator

Cites Work

• Average sampling in shift invariant subspaces with symmetric averaging functions
• Sampling theorem for multiwavelet subspaces
• Numerical analysis of non-uniform sampling problem
• Average sampling in spline subspaces
• Dynamical sampling: time-space trade-off
• Exact reconstruction of signals in evolutionary systems via spatiotemporal trade-off
• Local reconstruction for sampling in shift-invariant spaces
• Dynamical sampling
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Convolution sampling and reconstruction of signals in a reproducing kernel subspace
• Local sampling set conditions in weighted shift-invariant signal spaces
• Dynamical Sampling in Shift-Invariant Spaces
• An Improved Nyquist–Shannon Irregular Sampling Theorem From Local Averages
• Local sampling theorems for spaces generated by splines with arbitrary knots
• Local Sampling and Reconstruction in Shift-Invariant Spaces and Their Applications in Spline Subspaces
• Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
• Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
• Reconstruction of functions in spline subspaces from local averages
• Dynamical sampling in multiply generated shift-invariant spaces
• High-Resolution Distributed Sampling of Bandlimited Fields With Low-Precision Sensors
• Sampling theorems for uniform and periodic nonuniform mimo sampling of multiband signals

This page was built for publication: Periodic Nonuniform Dynamical Sampling in ℓ²(ℤ) and Shift-Invariant Spaces