IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-0-8176-8101-2_9.html

Spectral Representation of Discrete-Time Stationary Signals and Their Computer Simulations

In: A First Course in Statistics for Signal Analysis

Author

Listed:
  • Wojbor A. Woyczyński

    (Case Western Reserve University, Department of Statistics and Center for Stochastic and Chaotic Processes in Sciences and Technology)

Abstract

Given an arbitrary power spectrum S X (f) or, equivalently, its inverse Fourier transform, the autocovariance function γx(τ), our ability to simulate the corresponding stationary random signals X(t), using only the pseudo-random number generator, which produces, say, discrete-time white noise, depends on the observation that, in some sense, all stationary random signals can be approximated by superpositions of random harmonic oscillations such as those discussed in Examples 4.1.2 and 4.1.9.

Suggested Citation

  • Wojbor A. Woyczyński, 2011. "Spectral Representation of Discrete-Time Stationary Signals and Their Computer Simulations," Springer Books, in: A First Course in Statistics for Signal Analysis, chapter 0, pages 193-222, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8101-2_9
    DOI: 10.1007/978-0-8176-8101-2_9
    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:978-0-8176-8101-2_9. 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.