中国物理B ›› 2021, Vol. 30 ›› Issue (8): 80503-080503.doi: 10.1088/1674-1056/ac0905

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Acoustic wireless communication based on parameter modulation and complex Lorenz chaotic systems with complex parameters and parametric attractors

Fang-Fang Zhang(张芳芳)1,2, Rui Gao(高瑞)1,†, and Jian Liu(刘坚)3   

  1. 1 Department of Control Science and Engineering, Shandong University, Jinan 250061, China;
    2 Department of Electrical Engineering and Automation, Qilu University of Technology(Shandong Academy of Sciences), Jinan 250353, China;
    3 School of Mathematical Sciences, University of Jinan, Jinan 250022, China
  • 收稿日期:2021-04-12 修回日期:2021-05-26 接受日期:2021-06-08 出版日期:2021-07-16 发布日期:2021-07-16
  • 通讯作者: Rui Gao E-mail:gaorui@sdu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. U1806202, 61773010, and 61903207), the International Collaborative Research Project of Qilu University of Technology (Grant No. QLUTGJHZ2018020), and Major Scientific and Technological Innovation Projects of Shandong Province, China (Grant Nos. 2019JZZY010731 and 2020CXGC010901).

Acoustic wireless communication based on parameter modulation and complex Lorenz chaotic systems with complex parameters and parametric attractors

Fang-Fang Zhang(张芳芳)1,2, Rui Gao(高瑞)1,†, and Jian Liu(刘坚)3   

  1. 1 Department of Control Science and Engineering, Shandong University, Jinan 250061, China;
    2 Department of Electrical Engineering and Automation, Qilu University of Technology(Shandong Academy of Sciences), Jinan 250353, China;
    3 School of Mathematical Sciences, University of Jinan, Jinan 250022, China
  • Received:2021-04-12 Revised:2021-05-26 Accepted:2021-06-08 Online:2021-07-16 Published:2021-07-16
  • Contact: Rui Gao E-mail:gaorui@sdu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. U1806202, 61773010, and 61903207), the International Collaborative Research Project of Qilu University of Technology (Grant No. QLUTGJHZ2018020), and Major Scientific and Technological Innovation Projects of Shandong Province, China (Grant Nos. 2019JZZY010731 and 2020CXGC010901).

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摘要： As the competition for marine resources is increasingly fierce, the security of underwater acoustic communication has attracted a great deal of attention. The information and location of the communicating platform can be leaked during the traditional underwater acoustic communication technology. According to the unique advantages of chaos communication, we put forward a novel communication scheme using complex parameter modulation and the complex Lorenz system. Firstly, we design a feedback controller and parameter update laws in a complex-variable form with rigorous mathematical proofs (while many previous references on the real-variable form were only special cases in which the imaginary part was zero), which can be realized in practical engineering; then we design a new communication scheme employing parameter modulation. The main parameter spaces of the complex Lorenz system are discussed, then they are adopted in our communication scheme. We also find that there exist parametric attractors in the complex Lorenz system. We make numerical simulations in two channels for digital signals and the simulations verify our conclusions.

关键词: parameter modulation, identification, chaotic system, acoustic wireless communication

Abstract: As the competition for marine resources is increasingly fierce, the security of underwater acoustic communication has attracted a great deal of attention. The information and location of the communicating platform can be leaked during the traditional underwater acoustic communication technology. According to the unique advantages of chaos communication, we put forward a novel communication scheme using complex parameter modulation and the complex Lorenz system. Firstly, we design a feedback controller and parameter update laws in a complex-variable form with rigorous mathematical proofs (while many previous references on the real-variable form were only special cases in which the imaginary part was zero), which can be realized in practical engineering; then we design a new communication scheme employing parameter modulation. The main parameter spaces of the complex Lorenz system are discussed, then they are adopted in our communication scheme. We also find that there exist parametric attractors in the complex Lorenz system. We make numerical simulations in two channels for digital signals and the simulations verify our conclusions.

Key words: parameter modulation, identification, chaotic system, acoustic wireless communication

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
05.45.Gg (Control of chaos, applications of chaos) 05.45.Vx (Communication using chaos) 05.45.Jn (High-dimensional chaos)