Nagaraj, Nithin and Vaidya, Prabhakar G and Bhat, Kishor G
(2009)
Arithmetic coding as a non-linear dynamical system.
Communications in Nonlinear Science and Numerical Simulation, 14 (4).
pp. 1013-1020.
Full text not available from this repository.
| Abstract: |
In order to perform source coding (data compression), we treat messages emitted by independent and identically distributed sources as imprecise measurements (symbolic sequence) of a chaotic, ergodic, Lebesgue measure preserving, non-linear dynamical system known as Generalized Luröth Series (GLS). GLS achieves Shannon’s entropy bound and turns out to be a generalization of arithmetic coding, a popular source coding algorithm, used in international compression standards such as JPEG2000 and H.264. We further generalize GLS to piecewise non-linear maps (Skewed-nGLS). We motivate the use of Skewed-nGLS as a framework for joint source coding and encryption. |
| Item Type: |
Journal Paper
|
| Additional Information: |
Copyright belongs to the Publisher |
| Keywords: |
Data compression, Encryption, Chaotic map, Arithmetic coding, Source coding |
| Subjects: |
School of Natural and Engineering Sciences > Mathematical Modeling
Doctoral Programme > PhD Scholar Publications |
| Date Deposited: |
22 Apr 2021 16:50 |
| Last Modified: |
29 Apr 2021 16:53 |
| Official URL: |
https://www.sciencedirect.com/science/article/abs/... |
| Related URLs: |
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| Funders: |
UNSPECIFIED |
| Projects: |
UNSPECIFIED |
| DOI: |
https://doi.org/10.1016/j.cnsns.2007.12.001 |
| URI: |
http://eprints.nias.res.in/id/eprint/2085 |
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