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Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms

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arxiv math-ph/0701056 v2 pith:N3L25LT7 submitted 2007-01-23 math-ph math.MP

Palle E. T. Jorgensen , Myung-Sin Song This is my paper · ORCID
classification math-phmath.MP
keywords encodingentropyhilbertspaceallowapproximationsbasesdata
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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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  1. Application of continuous corrections in widefield imaging obtained with the IDGCAL calibration method

    astro-ph.IM 2026-08 conditional novelty 6.0 of 10

    The paper derives a more efficient computation order and statistically optimized basis functions for IDG-CAL, without implementing or testing them.

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