Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms

Physics – Mathematical Physics

Scientific paper

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25 pages, 1 figure

Scientific paper

10.1063/1.2793569

By introducing Hilbert space and operators, we show how probabilities,
approximations and entropy encoding from signal and image processing allow
precise formulas and quantitative estimates. Our main results yield orthogonal
bases which optimize distinct measures of data encoding.

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