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Random Finite Approximations of Chaotic Maps

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Digital Communications Using Chaos and Nonlinear Dynamics

Part of the book series: Institute for Nonlinear Science ((INLS))

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References

  1. See, for example, recent special focus issues devoted to chaos-based communication systems: IEEE Trans. Circuits Syst.-I, vol. 48, 2001; IEEE Trans. Circuits Syst.-I, vol. 47, 2000; Int. J. Circ. Theory Appl., vol. 27, 1999.

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  2. A. Bauer, Generation and processing of chaotic signals in range measurement systems, AIP Conference Proceedings (Applied Nonlinear Dynamics and Stochastic Systems near the Millennium, San Diego, CA, USA) No.411 pp. 249–254, 1997.

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  3. A. Bauer, Chaotic signals for CW-ranging systems. A baseband system model for distance and bearing estimation, Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, (ISCAS’ 98, Monterey, CA, USA), vol. 3, pp. 275–278, 1998.

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  4. P. Billingsley, Probability and Measure, 3rd ed. (Wiley, NY, 1995).

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  5. G.M. Maggio, N.F. Rulkov, and L. Reggiani, Pseudo-chaotic time hopping for UWB impulse radio, IEEE Trans. Circuits Syst.-I, vol. 48, pp. 1424–1435, 2001.

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  6. L.M. Pecora, T.L. Carroll, G.A. Johnson, D.J. Mar, and J.F. Heagy, Fundamentals of Synchronization in chaotic systems, concepts, and applications, Chaos, vol. 7, pp. 520–543, 1997.

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Author information

Authors and Affiliations

  1. IICO-UASLP, 78210, San Luis Potosí, Mexico

    Jesús Urías & Eric Campos

  2. Institute for Nonlinear Science, University of California, San Diego, La Jolla, CA, 92093-0402

    Nikolai F. Rulkov

Authors
  1. Jesús Urías
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  2. Eric Campos
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  3. Nikolai F. Rulkov
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of California, San Diego La Jolla, CA, 92093-0402, USA

    Lawrence E. Larson

  2. Institute for Nonlinear Science, University of California, San Diego La Jolla, CA, 92093-0402, USA

    Lev S. Tsimring

  3. Department of Electrical Engineering, University of California, Los Angeles, CA, 90095-1594, USA

    Jia-Ming Liu

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© 2006 Springer Science+Business Media, LLC

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Urías, J., Campos, E., Rulkov, N.F. (2006). Random Finite Approximations of Chaotic Maps. In: Larson, L.E., Tsimring, L.S., Liu, JM. (eds) Digital Communications Using Chaos and Nonlinear Dynamics. Institute for Nonlinear Science. Springer, New York, NY . https://doi.org/10.1007/0-387-29788-X_8

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