IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/2047952.html
   My bibliography  Save this article

Detection of Weak Signal Based on Parameter Identification of Delay Differential System with Noise Disturbance

Author

Listed:
  • QiuBao Wang
  • Yuejuan Yang
  • Xing Zhang

Abstract

Extraction of the weak signals is crucial for fault prognostics in which case features are often very weak and masked by noise. In the time domain, the detection of weak signals depends on the identification of nonlinear parameters. A new signal detection and estimation method based on the incremental harmonic balance (IHB) is developed from the stochastic Van der Pol–Duffing equation with delayed feedback under parametric excitation. This is the first time that the IHB has been applied for the identification of parameters in stochastic delay differential equations (SDDEs). Compared to the method of intermittency transition between order and chaos to detect weak signals, this new method is more direct and the calculation result is what we want to obtain. This new method is suitable for the generalization and application of SDDEs.

Suggested Citation

  • QiuBao Wang & Yuejuan Yang & Xing Zhang, 2020. "Detection of Weak Signal Based on Parameter Identification of Delay Differential System with Noise Disturbance," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:2047952
    DOI: 10.1155/2020/2047952
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/2047952.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/2047952.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/2047952?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Haiping & Tian, Ruilan & Xue, Qiang & Zhang, Yangkun & Zhang, Xiaolong, 2022. "Improved variable scale-convex-peak method for weak signal detection," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:2047952. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.