Asymmetric multi-channel sampling in shift invariant spaces

DOI10.1016/j.jmaa.2009.12.005zbMath1257.94012OpenAlexW2058604216MaRDI QIDQ961073

B. E. Eshmatov

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.005

zbMATH Keywords

Riesz basisshift-invariant spaceframemulti-channel sampling

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20)

Related Items (7)

MULTI-CHANNEL SAMPLING ON SHIFT-INVARIANT SPACES WITH FRAME GENERATORS ⋮ Recovery of missing samples for oversampling in shift invariant spaces ⋮ Generalized average sampling in shift invariant spaces ⋮ Generalized sampling in shift invariant spaces with frames ⋮ A local weighted average sampling and reconstruction theorem over shift invariant subspaces ⋮ Average and convolution sampling over shift-invariant spaces ⋮ Average sampling expansions from regular and irregular samples over shift-invariant subspaces on LCA groups

Cites Work

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• Vector sampling expansion in Riesz bases setting and its aliasing error
• Oversampling and reconstruction functions with compact support
• On the sampling theorem for wavelet subspaces
• Riesz bases in \(L^{2}(0,1)\) related to sampling in shift-invariant spaces
• Dual frames in \(L^2(0,1)\) connected with generalized sampling in shift-invariant spaces
• A generalized sampling theory without band-limiting constraints
• Higher order sampling and recovering of lowpass signals
• SAMPLING EXPANSION IN SHIFT INVARIANT SPACES
• Generalized sampling expansion
• The Zak transform and sampling theorems for wavelet subspaces
• CHANNELED SAMPLING IN SHIFT INVARIANT SPACES

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