Uncovering missing symbols in communication with filtered chaotic signals

Hai-Peng Ren*, Murilo Da Silva Baptista, Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We investigate the physical modifications caused by a linear filter in a chaotic trajectory. We show that while the filter strongly modifies the topological characteristics of the chaotic signal, it might not alter its information content. We propose a chaos-based communication system that takes advantage of this fundamental characteristic of the dynamics. We devise procedures both to recover all the symbols at the receiver end and to decode the received higher-dimensional filtered chaotic signal by using techniques from the theory of pattern recognition. Our results show that a message bearing chaotic signal can be transmitted over a low bandwidth physical channel and be decoded with a low decoding bit error rate.

Original languageEnglish
Article number1250199
Number of pages11
JournalInternational Journal of Bifurcation and Chaos
Volume22
Issue number8
DOIs
Publication statusPublished - Aug 2012

Keywords

  • support vector machine
  • chaotic communication
  • topological dimension
  • synchronization
  • missing symbol
  • generating chaos
  • filter effect
  • noise
  • universal circuit
  • dynamics
  • reconstruction

Cite this

Uncovering missing symbols in communication with filtered chaotic signals. / Ren, Hai-Peng; Baptista, Murilo Da Silva; Grebogi, Celso.

In: International Journal of Bifurcation and Chaos, Vol. 22, No. 8, 1250199, 08.2012.

Research output: Contribution to journalArticle

@article{45c5460601944139853564f4c1f3c2c0,
title = "Uncovering missing symbols in communication with filtered chaotic signals",
abstract = "We investigate the physical modifications caused by a linear filter in a chaotic trajectory. We show that while the filter strongly modifies the topological characteristics of the chaotic signal, it might not alter its information content. We propose a chaos-based communication system that takes advantage of this fundamental characteristic of the dynamics. We devise procedures both to recover all the symbols at the receiver end and to decode the received higher-dimensional filtered chaotic signal by using techniques from the theory of pattern recognition. Our results show that a message bearing chaotic signal can be transmitted over a low bandwidth physical channel and be decoded with a low decoding bit error rate.",
keywords = "support vector machine, chaotic communication, topological dimension, synchronization, missing symbol, generating chaos, filter effect, noise, universal circuit, dynamics, reconstruction",
author = "Hai-Peng Ren and Baptista, {Murilo Da Silva} and Celso Grebogi",
year = "2012",
month = "8",
doi = "10.1142/S0218127412501994",
language = "English",
volume = "22",
journal = "International Journal of Bifurcation and Chaos",
issn = "0218-1274",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "8",

}

TY - JOUR

T1 - Uncovering missing symbols in communication with filtered chaotic signals

AU - Ren, Hai-Peng

AU - Baptista, Murilo Da Silva

AU - Grebogi, Celso

PY - 2012/8

Y1 - 2012/8

N2 - We investigate the physical modifications caused by a linear filter in a chaotic trajectory. We show that while the filter strongly modifies the topological characteristics of the chaotic signal, it might not alter its information content. We propose a chaos-based communication system that takes advantage of this fundamental characteristic of the dynamics. We devise procedures both to recover all the symbols at the receiver end and to decode the received higher-dimensional filtered chaotic signal by using techniques from the theory of pattern recognition. Our results show that a message bearing chaotic signal can be transmitted over a low bandwidth physical channel and be decoded with a low decoding bit error rate.

AB - We investigate the physical modifications caused by a linear filter in a chaotic trajectory. We show that while the filter strongly modifies the topological characteristics of the chaotic signal, it might not alter its information content. We propose a chaos-based communication system that takes advantage of this fundamental characteristic of the dynamics. We devise procedures both to recover all the symbols at the receiver end and to decode the received higher-dimensional filtered chaotic signal by using techniques from the theory of pattern recognition. Our results show that a message bearing chaotic signal can be transmitted over a low bandwidth physical channel and be decoded with a low decoding bit error rate.

KW - support vector machine

KW - chaotic communication

KW - topological dimension

KW - synchronization

KW - missing symbol

KW - generating chaos

KW - filter effect

KW - noise

KW - universal circuit

KW - dynamics

KW - reconstruction

U2 - 10.1142/S0218127412501994

DO - 10.1142/S0218127412501994

M3 - Article

VL - 22

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 8

M1 - 1250199

ER -