Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms
Mathematical Physics
2009-11-13 v2 math.MP
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.
Cite
@article{arxiv.math-ph/0701056,
title = {Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms},
author = {Palle E. T. Jorgensen and Myung-Sin Song},
journal= {arXiv preprint arXiv:math-ph/0701056},
year = {2009}
}
Comments
25 pages, 1 figure