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

Coding, channel capacity, and noise resistance in communicating with chaos. / Bollt, E ; Lai, Y C ; Grebogi, C ; Lai, Ying-Cheng.

In: Physical Review Letters, Vol. 79, No. 19, 10.11.1997, p. 3787-3790.

Research output: Contribution to journalArticle

Bollt, E ; Lai, Y C ; Grebogi, C ; Lai, Ying-Cheng. / Coding, channel capacity, and noise resistance in communicating with chaos. In: Physical Review Letters. 1997 ; Vol. 79, No. 19. pp. 3787-3790.
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AB - 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].

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