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International Conference on Hybrid Artificial Intelligence Systems

HAIS 2012: Hybrid Artificial Intelligent Systems pp 105–115Cite as

Digital Chaotic Noise Using Tent Map without Scaling and Discretization Process

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7209))

Abstract

This work shows how to improve the statistical distribution of signals produced by noise generators designed with one-dimensional chaotic maps. It also shows that in a electronic design the piecewise linear chaotic maps should be considered because they do not have stability islands in its chaotic behavior region, as it occurs with the logistic map commonly used to build noise generators. The design and implementation problems of the noise generators are analyzed and a solution is proposed. This solution relates the tent map output, defined in the real numbers’ domain, with a codebook of S elements. The proposed scheme produces digital noise signals using tent map without scaling and discretization process. 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 tent map and using, as a design criterion, the bifurcation diagram.

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Author information

Authors and Affiliations

  1. Instituto Politécnico Nacional, ESIME-Culhuacan, Santa Ana 1000, 04430, D.F., México

    Ruben Vazquez-Medina & César Enrique Rojas-López

  2. Centro de Física Aplicada y Tecnología Avanzada, UNAM, Boulevard Juriquilla 3001, 76230, Juriquilla, Querétaro, México

    Ruben Vazquez-Medina

  3. Universidad Autónoma Metropolitana Iztapalapa, San Rafael Atlixco 186, 09340, D.F., México

    José Luis Del-Río-Correa

  4. Instituto Nacional de Astrofísica, Óptica y Electrónica, Luis Enrique Erro 1, Tonantzintla, Puebla, México

    José Alejandro Díaz-Méndez

Authors
  1. Ruben Vazquez-Medina
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  2. José Luis Del-Río-Correa
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  3. César Enrique Rojas-López
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  4. José Alejandro Díaz-Méndez
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Editor information

Editors and Affiliations

  1. Universidad de Salamanca, Plaza de la Merced S/N, 37008, Salamanca, Spain

    Emilio Corchado

  2. VŠB-TU Ostrava 17, Listopadu 15, 70833, Ostrava, Czech Republic

    Václav Snášel

  3. Machine Intelligence Research Labs Machine Intelligence Research Labs(MIR Labs),, Scientific Network for Innovation and Research Excellence, P.O. Box 2259, 98071, Auburn, Washington, USA

    Ajith Abraham

  4. Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370, Wroclaw, Poland

    Michał Woźniak

  5. University of the Basque Country, Pº Manuel Lardizabal 1, 20018, San Sebastian, Spain

    Manuel Graña

  6. Yonsei University, 134 Shinchon-dong, 120-749, Sudaemoon-ku, Seoul, Korea

    Sung-Bae Cho

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© 2012 Springer-Verlag Berlin Heidelberg

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Vazquez-Medina, R., Del-Río-Correa, J.L., Rojas-López, C.E., Díaz-Méndez, J.A. (2012). Digital Chaotic Noise Using Tent Map without Scaling and Discretization Process. In: Corchado, E., Snášel, V., Abraham, A., Woźniak, M., Graña, M., Cho, SB. (eds) Hybrid Artificial Intelligent Systems. HAIS 2012. Lecture Notes in Computer Science(), vol 7209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28931-6_11

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  • DOI: https://doi.org/10.1007/978-3-642-28931-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28930-9

  • Online ISBN: 978-3-642-28931-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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