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Communication with unstable basis functions

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  • Carroll, Thomas L.

Abstract

Work by Corron et al. [1,2] represented a chaotic signal as a set of basis functions, and built a matched filter for the resulting signal. This paper makes use of basis functions without an underlying chaotic system. Matched filtering is still possible, allowing communication in noisy environments, but the resulting signals can be broad band, which is useful for producing signals that are hard to detect. The receiver design retains the simplicity of Corron et al. [1,2], which is good when weight, power consumption or bandwidth are constraints on the receiver.

Suggested Citation

  • Carroll, Thomas L., 2017. "Communication with unstable basis functions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 766-771.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:766-771
    DOI: 10.1016/j.chaos.2017.09.039
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    1. Apostolos Argyris & Dimitris Syvridis & Laurent Larger & Valerio Annovazzi-Lodi & Pere Colet & Ingo Fischer & Jordi García-Ojalvo & Claudio R. Mirasso & Luis Pesquera & K. Alan Shore, 2005. "Chaos-based communications at high bit rates using commercial fibre-optic links," Nature, Nature, vol. 438(7066), pages 343-346, November.
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    Cited by:

    1. Pappu, Chandra S. & Carroll, Thomas L., 2021. "Unstable basis function for joint radar-communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Carroll, Thomas L., 2022. "Creating new chaotic signals with reservoir computers," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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