IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v156y2022ics0960077922000637.html
   My bibliography  Save this article

Improved variable scale-convex-peak method for weak signal detection

Author

Listed:
  • Li, Haiping
  • Tian, Ruilan
  • Xue, Qiang
  • Zhang, Yangkun
  • Zhang, Xiaolong

Abstract

Based on the rectification method of detectable domain and elimination method of blind domain, the variable scale-convex-peak method for the identification frequency of weak signal is improved. For the initial phase of weak signal to be detected, the analytic expression of chaotic threshold is obtained by using the stochastic Melnikov method. The influence of phase on chaotic threshold is clarified, which leads to that the frequency of weak signal can be identified. Specifically, within a period, the initial phase can be divided into the detectable domain and the blind domain. In the detectable domain, when the frequency identification deviates, the rectification method of detectable domain is introduced. Specifically, the Newton interpolation method is used to give the calculation formula to rectify the deviation, which improves the accuracy of frequency identification. In the blind domain, the elimination method of blind domain is given by constructing the detection equations. The feasibility of the improved variable scale-convex-peak method is verified by numerical simulation and circuit experiment. Furthermore, by comparing the identified frequency value with the theoretical fault frequency value, the fault location of the wheelset bearing of the high-speed train is determined. The improved variable scale-convex-peak method is applied when the initial phase is in the frequency detectable domain or the blind domain, respectively.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000637
    DOI: 10.1016/j.chaos.2022.111852
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922000637
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.111852?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. 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.
    2. Wang, QiuBao & Yang, YueJuan & Zhang, Xing, 2020. "Weak signal detection based on Mathieu-Duffing oscillator with time-delay feedback and multiplicative noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Wang, Tian & Zhang, Qichang & Han, Jianxin & Wang, Wei & Yan, Yucheng & Cao, Xinyu & Hao, Shuying, 2023. "Bio-inspired quad-stable piezoelectric energy harvester for low-frequency vibration scavenging," Energy, Elsevier, vol. 282(C).
    2. Yang, GuiJiang & Ai, Hao & Liu, Wei & Wang, Qiubao, 2023. "Weak signal detection based on variable-situation-potential with time-delay feedback and colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

    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. Yang, GuiJiang & Ai, Hao & Liu, Wei & Wang, Qiubao, 2023. "Weak signal detection based on variable-situation-potential with time-delay feedback and colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Huang, Pengfei & Chai, Yi & Chen, Xiaolong, 2022. "Multiple dynamics analysis of Lorenz-family systems and the application in signal detection," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    3. Hossein Amini & Ali Mehrizi-Sani & Reza Noroozian, 2024. "Passive Islanding Detection of Inverter-Based Resources in a Noisy Environment," Energies, MDPI, vol. 17(17), pages 1-20, September.
    4. Zhu, Jue & Yuan, Wei-bin & Li, Long-yuan, 2021. "Cross-sectional flattening-induced nonlinear damped vibration of elastic tubes subjected to transverse loads," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

    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:156:y:2022:i:c:s0960077922000637. 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.