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• W2093915243 abstract "Given a U-invariant sampling scheme on a Hilbert space <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> . This paper characterizes atomic subspaces <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>A</i> of <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> such that every signal <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>x</i> ∈ <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>A</i> can be reconstructed from its generalized samples acquired with the U-invariant sampling scheme. If signal recovery is possible a linear filter is derived which reconstructs the signal from the samples. Moreover, the paper gives necessary and sufficient conditions on a sequence of sampling functions such that it forms a pseudoframe or pseudo-Riesz basis for a given atomic subspace <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>A</i> ." @default.
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• W2093915243 date "2012-07-01" @default.
• W2093915243 modified "2023-10-06" @default.
• W2093915243 title "U-Invariant Sampling and Reconstruction in Atomic Spaces With Multiple Generators" @default.
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• W2093915243 doi "https://doi.org/10.1109/tsp.2012.2193576" @default.
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