IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/249021.html
   My bibliography  Save this article

Improved Computing-Efficiency Least-Squares Algorithm with Application to All-Pass Filter Design

Author

Listed:
  • Lo-Chyuan Su
  • Yue-Dar Jou
  • Fu-Kun Chen

Abstract

All-pass filter design can be generally achieved by solving a system of linear equations. The associated matrices involved in the set of linear equations can be further formulated as a Toeplitz-plus-Hankel form such that a matrix inversion is avoided. Consequently, the optimal filter coefficients can be solved by using computationally efficient Levinson algorithms or Cholesky decomposition technique. In this paper, based on trigonometric identities and sampling the frequency band of interest uniformly, the authors proposed closed-form expressions to compute the elements of the Toeplitz-plus-Hankel matrix required in the least-squares design of IIR all-pass filters. Simulation results confirm that the proposed method achieves good performance as well as effectiveness.

Suggested Citation

  • Lo-Chyuan Su & Yue-Dar Jou & Fu-Kun Chen, 2013. "Improved Computing-Efficiency Least-Squares Algorithm with Application to All-Pass Filter Design," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:249021
    DOI: 10.1155/2013/249021
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/249021.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/249021.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/249021?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
    ---><---

    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:249021. 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.