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Signal separation in an aggregation of chaotic signals

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  • Zandi-Mehran, Nazanin
  • Jafari, Sajad
  • Golpayegani, Seyed Mohammad Reza Hashemi

Abstract

Signal separation has many applications in different fields, such as biology. In real-world applications, sometimes, the combined signals are not independent, and their separation is not easy with common methods and needs proper approaches. In this paper, it is assumed that the summation of chaotic signals from one chaotic system is available, and the system's equations are known. The aim is to separate the signals from that summation. The proposed method relies on generating some equations, solving them, and then checking the solutions to be in the attractor region. We examine our method on a two-dimensional and a three-dimensional chaotic map and then generalize it to a continuous-time chaotic flow.

Suggested Citation

  • Zandi-Mehran, Nazanin & Jafari, Sajad & Golpayegani, Seyed Mohammad Reza Hashemi, 2020. "Signal separation in an aggregation of chaotic signals," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    • Handle: RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920302514
    DOI: 10.1016/j.chaos.2020.109851
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    References listed on IDEAS

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    1. Ghosh, Dibakar & Chowdhury, A. Roy & Saha, Papri, 2008. "Multiple delay Rössler system—Bifurcation and chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 472-485.
    2. Wei Chen & Hui Ma & Yiping Yang & Mengrong Sun, 2014. "Application of Artificial Bee Colony Algorithm to Portfolio Adjustment Problem with Transaction Costs," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, June.
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