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A new encoding and switching scheme for chaos-based communication

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Abstract

Many communication systems based on the synchronization of chaotic systems have been proposed as an alternative spread spectrum modulation that improves the level of privacy in data transmission. However, due to the lack of robustness of complete chaotic synchronization, even minor channel impairments are enough to hinder communication. In this paper, we propose a communication system that includes an adaptive equalizer and a switching scheme to alter between a chaos-based modulation and a conventional one, depending on the communication channel conditions. Simulation results show that the switching and equalization algorithms can successfully recover the transmitted sequence in different nonideal scenarios.

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Notes

  1. In fact, \(\hat{x}_1(n)\) depends on \({\mathbf {w}}(n-1)\). However, considering this dependence, we need to use some other assumptions to derive the equalization algorithm. Furthermore, the resulting algorithm is more complicated and the achievable performance is similar to that of the algorithm derived here.

  2. We use the term chaotic for the algorithms derived here only for distinguishing them from the original versions of LMS and normalized LMS (NLMS) algorithms (see, e.g., Sayed 2008). The use of this term does not imply a chaotic behavior of the algorithms. The subscript \(+\) is used here to distinguish this algorithm from that of Candido et al. (2014), which uses the product as encoding function and thus, denoted with the subscript \(\times \).

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Authors and Affiliations

  1. University of São Paulo, São Paulo, Brazil

    Renato Candido, Magno T. M. Silva & Marcio Eisencraft

Authors
  1. Renato Candido
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  2. Magno T. M. Silva
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  3. Marcio Eisencraft
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Corresponding author

Correspondence to Renato Candido.

Additional information

Communicated by Jose Roberto Castilho Piqueira, Elbert E N Macau, Luiz de Siqueira Martins Filho.

This work was partly supported by CNPq under Grants 304275/2014-0, 479901/2013-9, and 309275/2016-4.

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Candido, R., Silva, M.T.M. & Eisencraft, M. A new encoding and switching scheme for chaos-based communication. Comp. Appl. Math. 37 (Suppl 1), 253–266 (2018). https://doi.org/10.1007/s40314-017-0519-9

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  • DOI: https://doi.org/10.1007/s40314-017-0519-9

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