IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-74238-8_4.html

Transformation Qualities of Warped Multirate Partial Differential Algebraic Equations

In: From Nano to Space

Author

Listed:
  • Roland Pulch

    (Bergische Universität Wuppertal, Lehrstuhl für Angewandte Mathematik und Numerische Mathematik)

Abstract

Radio frequency (RF) applications exhibit oscillating signals, where the amplitude and the frequency change slowly in time. Numerical simulations can be performed by a multidimensional model involving systems of warped multirate partial differential algebraic equations (MPDAEs). Consequently, a frequency modulated signal demands a representation via a function in two variables as well as a univariate frequency function. The efficiency of this approach depends essentially on the determination of appropriate frequencies. However, the multidimensional representation is not specified uniquely by the corresponding RF signal. We prove that choices from a continuum of functions are feasible, which are interconnected by a specific transformation. Existence theorems for solutions of the MPDAE system demonstrate this degree of freedom. Furthermore, we perform numerical simulations to verify the transformation properties, where a voltage controlled oscillator is used.

Suggested Citation

  • Roland Pulch, 2008. "Transformation Qualities of Warped Multirate Partial Differential Algebraic Equations," Springer Books, in: Michael H. Breitner & Georg Denk & Peter Rentrop (ed.), From Nano to Space, pages 27-42, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-74238-8_4
    DOI: 10.1007/978-3-540-74238-8_4
    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:978-3-540-74238-8_4. 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.