Digital noise generators using one-dimensional chaotic maps

J. A. Martínez-Ñonthe, L. Palacios-Luengas, M. Cruz-Irisson, J. A. Díaz Méndez, R. Vazquez Medina

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This work shows how to improve the statistical distribution of signals produced by digital noise generators designed with one-dimensional (1-D) chaotic maps. It also shows that in a digital electronic design the piecewise linear chaotic maps (PWLCM) should be considered because they do not have stability islands in its chaotic behavior region, as it occurs in the case of the logistic map, which is commonly used to build noise generators. The design and implementation problems of the digital noise generators are analyzed and a solution is proposed. This solution relates the output of PWLCM, usually defined in the real numbers' domain, with a codebook of S elements, previously defined. The proposed solution scheme produces digital noise signals with a statistical distribution close to a uniform distribution. Finally, this work shows that it is possible to have control over the statistical distribution of the noise signal by selecting the control parameter of the PWLCM and using, as a design criterion, the bifurcation diagram.

Original languageEnglish
Title of host publication7th International Conference on Low Dimensional Structures and Devices, LDSD 2011
PublisherAmerican Institute of Physics Inc.
Pages210-213
Number of pages4
ISBN (Print)9780735412323
DOIs
StatePublished - 2014
Event7th International Conference on Low Dimensional Structures and Devices, LDSD 2011 - Telchac, Mexico
Duration: 22 May 201127 May 2011

Publication series

NameAIP Conference Proceedings
Volume1598
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference7th International Conference on Low Dimensional Structures and Devices, LDSD 2011
Country/TerritoryMexico
CityTelchac
Period22/05/1127/05/11

Keywords

  • Chaotic maps
  • Noise digital generators
  • PWLCM

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