Conditions for Efficient Chaos-based Communication

Celso Grebogi; E. E. N. Macau; M. S. Baptista

doi:10.1063/1.1513061

Conditions for Efficient Chaos-based Communication

Celso Grebogi, E. E. N. Macau, M. S. Baptista

Physics

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We find the conditions for a chaotic system to transmit a general source of information efficiently. Transmission of information with very low probability of error is possible if the topological entropy of the transmitted wave signal is greater than or equal to the Shannon entropy of the source message minus the conditional entropy coming from the limitations of the channel (such as equivocation by the noise). This condition may not be always satisfied both due to dynamical constraints and due to the nonoptimal use of the dynamical partition. In both cases, we describe strategies to overcome these limitations. (C) 2003 American Institute of Physics.

Original language	English
Pages (from-to)	145-150
Number of pages	5
Journal	Chaos
Volume	13
DOIs	https://doi.org/10.1063/1.1513061
Publication status	Published - 2003

Keywords

INFORMATION
SYSTEMS

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10.1063/1.1513061

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title = "Conditions for Efficient Chaos-based Communication",

abstract = "We find the conditions for a chaotic system to transmit a general source of information efficiently. Transmission of information with very low probability of error is possible if the topological entropy of the transmitted wave signal is greater than or equal to the Shannon entropy of the source message minus the conditional entropy coming from the limitations of the channel (such as equivocation by the noise). This condition may not be always satisfied both due to dynamical constraints and due to the nonoptimal use of the dynamical partition. In both cases, we describe strategies to overcome these limitations. (C) 2003 American Institute of Physics.",

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AU - Grebogi, Celso

AU - Macau, E. E. N.

AU - Baptista, M. S.

PY - 2003

Y1 - 2003

N2 - We find the conditions for a chaotic system to transmit a general source of information efficiently. Transmission of information with very low probability of error is possible if the topological entropy of the transmitted wave signal is greater than or equal to the Shannon entropy of the source message minus the conditional entropy coming from the limitations of the channel (such as equivocation by the noise). This condition may not be always satisfied both due to dynamical constraints and due to the nonoptimal use of the dynamical partition. In both cases, we describe strategies to overcome these limitations. (C) 2003 American Institute of Physics.

AB - We find the conditions for a chaotic system to transmit a general source of information efficiently. Transmission of information with very low probability of error is possible if the topological entropy of the transmitted wave signal is greater than or equal to the Shannon entropy of the source message minus the conditional entropy coming from the limitations of the channel (such as equivocation by the noise). This condition may not be always satisfied both due to dynamical constraints and due to the nonoptimal use of the dynamical partition. In both cases, we describe strategies to overcome these limitations. (C) 2003 American Institute of Physics.

KW - INFORMATION

KW - SYSTEMS

U2 - 10.1063/1.1513061

DO - 10.1063/1.1513061

M3 - Article

SN - 1054-1500

VL - 13

SP - 145

EP - 150

JO - Chaos

JF - Chaos

ER -

Conditions for Efficient Chaos-based Communication

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