IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/291249.html
   My bibliography  Save this article

Adaptive Beamforming Based on Complex Quaternion Processes

Author

Listed:
  • Jian-wu Tao
  • Wen-xiu Chang

Abstract

Motivated by the benefits of array signal processing in quaternion domain, we investigate the problem of adaptive beamforming based on complex quaternion processes in this paper. First, a complex quaternion least-mean squares (CQLMS) algorithm is proposed and its performance is analyzed. The CQLMS algorithm is suitable for adaptive beamforming of vector-sensor array. The weight vector update of CQLMS algorithm is derived based on the complex gradient, leading to lower computational complexity. Because the complex quaternion can exhibit the orthogonal structure of an electromagnetic vector-sensor in a natural way, a complex quaternion model in time domain is provided for a 3-component vector-sensor array. And the normalized adaptive beamformer using CQLMS is presented. Finally, simulation results are given to validate the performance of the proposed adaptive beamformer.

Suggested Citation

  • Jian-wu Tao & Wen-xiu Chang, 2014. "Adaptive Beamforming Based on Complex Quaternion Processes," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, June.
    • Handle: RePEc:hin:jnlmpe:291249
    DOI: 10.1155/2014/291249
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2014/291249.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2014/291249.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/291249?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. Zhuo-Heng He & Xiao-Na Zhang & Xiaojing Chen, 2023. "Unitary Diagonalization of the Generalized Complementary Covariance Quaternion Matrices with Application in Signal Processing," Mathematics, MDPI, vol. 11(23), pages 1-14, December.

    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:291249. 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.