IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v40y2009i4p1779-1793.html
   My bibliography  Save this article

Design of chaotic analog noise generators with logistic map and MOS QT circuits

Author

Listed:
  • Vázquez-Medina, R.
  • Díaz-Méndez, A.
  • del Río-Correa, J.L.
  • López-Hernández, J.

Abstract

In this paper a method to design chaotic analog noise generators using MOS transistors is presented. Two aspects are considered, the determination of operation regime of the MOS circuit and the statistical distribution of its output signal. The operation regime is related with the transconductance linear (TL: translinear) principle. For MOS transistors this principle was originally formulated in weak inversion regime; but, strong inversion regimen is used because in 1991, Seevinck and Wiegerink made the generalization for this principle. The statistical distribution of the output signal on the circuit, which should be a uniform distribution, is related with the parameter value that rules the transfer function of the circuit, the initial condition (seed) in the circuit and its operation as chaotic generator. To show these concepts, the MOS Quadratic Translinear circuit proposed by Wiegerink in 1993 was selected and it is related with the logistic map and its properties. This circuit will operate as noise generator if it works in strong inversion regime using current-mode approach when the parameter that rules the transfer function is higher than the onset chaos value (3.5699456…) for the logistic map.

Suggested Citation

  • Vázquez-Medina, R. & Díaz-Méndez, A. & del Río-Correa, J.L. & López-Hernández, J., 2009. "Design of chaotic analog noise generators with logistic map and MOS QT circuits," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1779-1793.
  • Handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:1779-1793
    DOI: 10.1016/j.chaos.2007.09.088
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907008089
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2007.09.088?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mooney, Aidan & Keating, John G. & Pitas, Ioannis, 2008. "A comparative study of chaotic and white noise signals in digital watermarking," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 913-921.
    2. Salarieh, Hassan & Alasty, Aria, 2008. "Stabilizing unstable fixed points of chaotic maps via minimum entropy control," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 763-769.
    3. Alvarez-Ramirez, Jose & Rodriguez, Eduardo & Echeverria, Juan Carlos & Puebla, Hector, 2008. "Correlation analysis of chaotic trajectories from Chua’s system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1157-1169.
    4. de S. Cavalcante, Hugo L.D & Vasconcelos, Giovani L & Rios Leite, José R, 2001. "Power law periodicity in the tangent bifurcations of the logistic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 291-296.
    5. Xu, Mingtian, 2007. "Property of period-doubling bifurcation cascades of discrete dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 455-462.
    6. Eisencraft, Marcio & Baccalá, Luiz Antonio, 2008. "The Cramer-Rao bound for initial conditions estimation of chaotic orbits," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 132-139.
    7. R. Tonelli & M. Coraddu, 2006. "Numerical study of the oscillatory convergence to the attractor at the edge of chaos," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 355-359, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rani, Mamta & Agarwal, Rashi, 2009. "A new experimental approach to study the stability of logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2062-2066.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mooney, Aidan & Keating, John G. & Heffernan, Daniel M., 2009. "Performance analysis of chaotic and white watermarks in the presence of common watermark attacks," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 560-570.
    2. Ide, Kayo & Sornette, Didier, 2002. "Oscillatory finite-time singularities in finance, population and rupture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(1), pages 63-106.
    3. Sidiropoulos, Panagiotis & Nikolaidis, Nikos & Pitas, Ioannis, 2009. "Invertible chaotic fragile watermarking for robust image authentication," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2667-2674.
    4. Kevin W. Capehart, 2015. "Hyman Minsky’s interpretation of Donald Trump," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 38(3), pages 477-492, October.
    5. de S. Cavalcante, Hugo L.D. & Leite, J.R.Rios, 2004. "Fine structure in the scaling of type-I intermittency bifurcations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 356-362.
    6. Salarieh, Hassan & Alasty, Aria, 2009. "Chaos control in an economic model via minimum entropy strategy," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 839-847.
    7. Zhang, Yinping & Sun, Jitao, 2009. "Impulsive robust fault-tolerant feedback control for chaotic Lur’e systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1440-1446.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:1779-1793. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.