• DocumentCode
    749981
  • Title

    The probability of a subspace swap in the SVD

  • Author

    Thomas, John K. ; Scharf, Louis L. ; Tufts, Donald W.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
  • Volume
    43
  • Issue
    3
  • fYear
    1995
  • fDate
    3/1/1995 12:00:00 AM
  • Firstpage
    730
  • Lastpage
    736
  • Abstract
    We extend the work of Tufts, Kot, and Vaccaro (TKV) published in 1980, to improve the analytical characterization of threshold breakdown in SVD methods. Our results sharpen the TKV results by lower bounding the probability of a subspace swap in the SVD. Our key theoretical result is the characteristic function for a random variable whose probability of exceeding zero bounds the probability of a threshold breakdown
  • Keywords
    parameter estimation; probability; random processes; signal resolution; singular value decomposition; SVD; characteristic function; high resolution parameter estimation; lower bound; random variable; singular value decomposition; subspace swap probability; threshold breakdown; zero bounds; Additive noise; Degradation; Electric breakdown; Helium; Parameter estimation; Prediction methods; Random variables; Signal resolution; Signal to noise ratio; Singular value decomposition;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.370627
  • Filename
    370627