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Entropy encoding, Hilbert space, and Karhunen-Loève transforms
Journal article   Open access   Peer reviewed

Entropy encoding, Hilbert space, and Karhunen-Loève transforms

Palle E.T Jorgensen and Myung Sin Song
Journal of mathematical physics, Vol.48(10), pp.103503-103503-22
10/05/2007
DOI: 10.1063/1.2793569
url
https://arxiv.org/pdf/math-ph/0701056View
Open Access

Abstract

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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