International Journal of Wavelets Multiresolution and Information Processing · 2007 · 14 citations · 8 references
Natural SciencesElectrical EngineeringMathematicsProbability TheoryStochastic ProcessesDigital Signal ProcessingSampling TheorySignal ProcessingChannel SamplingSampling FramesSignal ReconstructionSignal SamplingSignal Sampling Theory
We develop sampling expansion formulas on the shift invariant closed subspace V(ϕ) of L 2 ℝ generated by a frame or a Riesz generator ϕ(t). We find necessary and sufficient conditions under which a regular shifted sampling expansion to hold on V(ϕ) and also introduce a single channel sampling on V(ϕ) together with some illustrating examples.
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Communication in the Presence of Noise
Claude E. Shannon · Proceedings of the IRE · 1949 · 6.1K citations
A. L. Graps · IEEE Computational Science and Engineering · 1995 · 1.8K citations
A sampling theorem for wavelet subspaces
G.G. Walter · IEEE Transactions on Information Theory · 1992 · 311 citations