Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
760014 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 8 Pages |
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.
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Authors
Nithin Nagaraj, Prabhakar G. Vaidya, Kishor G. Bhat,