IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v145y2021ics0960077921001454.html
   My bibliography  Save this article

Unstable basis function for joint radar-communication systems

Author

Listed:
  • Pappu, Chandra S.
  • Carroll, Thomas L.

Abstract

In this paper, we develop a joint radar-communication waveform based on the unstable basis function. Basis functions of a chaotic waveform are uncertain, vary continuously and hence the use of a traditional matched filter is not practical. Corron et al. [1,2] demonstrated a chaotic circuit for which an analytic matched filter could be constructed, solving the signal detection problem. The Corron circuit produced a narrow band signal, which is not optimal for spread spectrum communications and radar applications. In this paper, we adapt Corron’s concept of a chaotic signal composed of a linear combination of basis functions and show how the basis functions are used to design joint radar-communications systems that still have simple analytic matched filters. The form of the matched filter makes it useful for both the radar and communications systems where it is necessary to minimize weight or power consumption.

Suggested Citation

  • Pappu, Chandra S. & Carroll, Thomas L., 2021. "Unstable basis function for joint radar-communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001454
    DOI: 10.1016/j.chaos.2021.110793
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921001454
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.110793?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Carroll, Thomas L., 2017. "Communication with unstable basis functions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 766-771.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Carroll, Thomas L., 2022. "Creating new chaotic signals with reservoir computers," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Aiguo Wu & Shijian Cang & Ruiye Zhang & Zenghui Wang & Zengqiang Chen, 2018. "Hyperchaos in a Conservative System with Nonhyperbolic Fixed Points," Complexity, Hindawi, vol. 2018, pages 1-8, April.
    3. Li, Jun-Jie & Zhang, Hui-Cong, 2024. "Interaction-produced vector vortex chaoticons in nonlocal nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    4. Pappu, Chandra S. & Carroll, Thomas L., 2021. "Quasi-FM Waveform Using Chaotic Oscillator for Joint Radar and Communication Systems," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Koronovskii, Alexey A. & Moskalenko, Olga I. & Ponomarenko, Vladimir I. & Prokhorov, Mikhail D. & Hramov, Alexander E., 2016. "Binary generalized synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 133-139.
    6. Belmar-Monterrubio, Ramiro & Quiroz-Ibarra, J. Emilio & Cervantes-Sodi, Felipe, 2023. "A versatile mathematical function for generating stable and chaotic systems: A data encryption application," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    7. Wang, Yan & Cheng, Wei & Feng, Junbo & Zang, Shengyin & Cheng, Hao & Peng, Zheng & Ren, Xiaodong & Shuai, Yubei & Liu, Hao & Pu, Xun & Yang, Junbo & Wu, Jiagui, 2022. "Silicon photonic secure communication using artificial neural network," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    8. Ze-Xian Zhang & Min Luo & Jia-Hao Liu & Yi-Tao Yang & Ti-Jian Li & Meng Liu & Ai-Ping Luo & Wen-Cheng Xu & Zhi-Chao Luo, 2024. "Coherence-controlled chaotic soliton bunch," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    9. Yu, Nanxiang & Zhu, Wei, 2021. "Event-triggered impulsive chaotic synchronization of fractional-order differential systems," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    10. Bitao Shen & Haowen Shu & Weiqiang Xie & Ruixuan Chen & Zhi Liu & Zhangfeng Ge & Xuguang Zhang & Yimeng Wang & Yunhao Zhang & Buwen Cheng & Shaohua Yu & Lin Chang & Xingjun Wang, 2023. "Harnessing microcomb-based parallel chaos for random number generation and optical decision making," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    11. Carroll, Thomas L., 2017. "Communication with unstable basis functions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 766-771.
    12. Vieira, Robson & Martins, Weliton S. & Barreiro, Sergio & Oliveira, Rafael A. de & Chevrollier, Martine & Oriá, Marcos, 2021. "Synchronization of a nonlinear oscillator with a sum signal from equivalent oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    13. Li, Nianqiang & Pan, Wei & Yan, Lianshan & Luo, Bin & Xu, Mingfeng & Jiang, Ning & Tang, Yilong, 2011. "On joint identification of the feedback parameters for hyperchaotic systems: An optimization-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 198-207.
    14. Rodrigo Méndez-Ramírez & Adrian Arellano-Delgado & Miguel Murillo-Escobar & César Cruz-Hernández, 2019. "Degradation Analysis of Chaotic Systems and their Digital Implementation in Embedded Systems," Complexity, Hindawi, vol. 2019, pages 1-22, December.
    15. Zhou, Guangye & Li, Chengren & Li, Tingting & Yang, Yi & Wang, Chen & He, Fangjun & Sun, Jingchang, 2016. "Outer synchronization investigation between WS and NW small-world networks with different node numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 506-513.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001454. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.