Coding, channel capacity, and noise resistance in communicating with chaos

E Bollt, Y C Lai, C Grebogi, Ying-Cheng Lai

Research output: Contribution to journalArticle

94 Citations (Scopus)

Abstract

Recent work has considered the possibility of utilizing symbolic representations of controlled chaotic orbits for digital communication. We argue that dynamically a coding scheme usually leads to trajectories that live on a nonattracting but noise-resisting chaotic saddle embedded in the chaotic attractor. We present analyses and numerical computation which indicate that the channel capacity of the chaotic saddle has a devil-staircase-like behavior as a function of the noise-resisting strength. The implication is that nonlinear digital communication using chaos can yield a substantial channel capacity even in a noisy environment. [S0031-9007(97)04462-1].

Original languageEnglish
Pages (from-to)3787-3790
Number of pages4
JournalPhysical Review Letters
Volume79
Issue number19
Publication statusPublished - 10 Nov 1997

Cite this