IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/5108946.html
   My bibliography  Save this article

A Guide on Spectral Methods Applied to Discrete Data in One Dimension

Author

Listed:
  • Martin Seilmayer
  • Matthias Ratajczak

Abstract

This paper provides an overview about the usage of the Fourier transform and its related methods and focuses on the subtleties to which the users must pay attention. Typical questions, which are often addressed to the data, will be discussed. Such a problem can be the origin of frequency or band limitation of the signal or the source of artifacts, when a Fourier transform is carried out. Another topic is the processing of fragmented data. Here, the Lomb-Scargle method will be explained with an illustrative example to deal with this special type of signal. Furthermore, the time-dependent spectral analysis, with which one can evaluate the point in time when a certain frequency appears in the signal, is of interest. The goal of this paper is to collect the important information about the common methods to give the reader a guide on how to use these for application on one-dimensional data. The introduced methods are supported by the spectral package, which has been published for the statistical environment prior to this article.

Suggested Citation

  • Martin Seilmayer & Matthias Ratajczak, 2017. "A Guide on Spectral Methods Applied to Discrete Data in One Dimension," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-27, July.
    • Handle: RePEc:hin:jnljam:5108946
    DOI: 10.1155/2017/5108946
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2017/5108946.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2017/5108946.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/5108946?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:jnljam:5108946. 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.