Dynamical sampling in multiply generated shift-invariant spaces

DOI10.1080/00036811.2016.1157586zbMath1390.94662OpenAlexW2321492936WikidataQ58271265 ScholiaQ58271265MaRDI QIDQ5269378

Rui Li, Bei Liu, Qing Yue Zhang

Publication date: 15 June 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1157586

zbMATH Keywords

Riesz basisshift-invariant spacesPoisson summation formuladistributed 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 (10)

Recovery of rapidly decaying source terms from dynamical samples in evolution equations ⋮ Unnamed Item ⋮ Periodic Nonuniform Dynamical Sampling in ℓ²(ℤ) and Shift-Invariant Spaces ⋮ Invertibility of Laurent operators and shift invariant spaces with finitely many generators ⋮ Sampling and Reconstruction in a Shift Invariant Space with Multiple Generators ⋮ Multivariate Dynamical Sampling in ℓ2(ℤd) and Shift-Invariant Spaces ⋮ Reconstruction of splines from nonuniform samples ⋮ Shift invariant spaces in \(L^2(\mathbb{R},\mathbb{C}^m)\) with \(m\) generators ⋮ Dynamical sampling with additive random noise ⋮ Frames induced by the action of continuous powers of an operator

Cites Work

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• The Structure of Finitely Generated Shift-Invariant Subspaces in Super Hilbert Spaces
• Blind Compressed Sensing
• High-Resolution Distributed Sampling of Bandlimited Fields With Low-Precision Sensors
• Stable signal recovery from incomplete and inaccurate measurements

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