IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-0667-1_14.html
   My bibliography  Save this book chapter

Monogenic Signal Theory

In: Operator Theory

Author

Listed:
  • Paula Cerejeiras

    (University of Aveiro, Department of Mathematics, CIDMA – Center for Research and Development in Mathematics and Applications)

  • Uwe Kähler

    (University of Aveiro, Department of Mathematics, CIDMA – Center for Research and Development in Mathematics and Applications)

Abstract

This survey is intended as a mathematical overview of the monogenic signal Monogenic signals theory, its current developments as well as of its applications to various problems. Several approaches to the concept of monogenic signal are given, followed by a short discussion on its advantages and drawbacks. Among those, one highlights the definitions arising from different concepts of Hilbert transforms, as well as the concept of the monogenic signal as a solution to a boundary value problem. In the last part, some recent developments in the field are presented.

Suggested Citation

  • Paula Cerejeiras & Uwe Kähler, 2015. "Monogenic Signal Theory," Springer Books, in: Daniel Alpay (ed.), Operator Theory, edition 127, chapter 60, pages 1701-1724, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0667-1_14
    DOI: 10.1007/978-3-0348-0667-1_14
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-0348-0667-1_14. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.