Entropy encoding, Hilbert space, and Karhunen-Loève transforms
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- October 2007
- DOI:
- 10.1063/1.2793569
- arXiv:
- arXiv:math-ph/0701056
- Bibcode:
- 2007JMP....48j3503J
- Keywords:
-
- 42.30.Va;
- 02.50.Cw;
- Image forming and processing;
- Probability theory;
- Mathematical Physics;
- 28D20;
- 46C07;
- 47S50;
- 68P30;
- 65C50
- E-Print:
- 25 pages, 1 figure