• DocumentCode
    719257
  • Title

    On optimal frame conditioners

  • Author

    Clark, Chae A. ; Okoudjou, Kasso A.

  • Author_Institution
    Dept. of Math., Univ. of Maryland, College Park, MD, USA
  • fYear
    2015
  • fDate
    25-29 May 2015
  • Firstpage
    148
  • Lastpage
    152
  • Abstract
    A (unit norm) frame is scalable if its vectors can be rescaled so as to result into a tight frame. Tight frames can be considered optimally conditioned because the condition number of their frame operators is unity. In this paper we reformulate the scalability problem as a convex optimization question. In particular, we present examples of various formulations of the problem along with numerical results obtained by using our methods on randomly generated frames.
  • Keywords
    optimisation; signal processing; convex optimization; frame operators; optimal frame conditioners; scalability problem; signal processing; unit norm frame; Convex functions; Linear programming; Linear systems; Mathematical programming; Scalability; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Sampling Theory and Applications (SampTA), 2015 International Conference on
  • Conference_Location
    Washington, DC
  • Type

    conf

  • DOI
    10.1109/SAMPTA.2015.7148869
  • Filename
    7148869
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=719257