Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms
数学物理
2009-11-13 v2 math.MP
摘要
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.
引用
@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}
}
备注
25 pages, 1 figure