• DocumentCode
    894946
  • Title

    Minimum risk thresholds for data with heavy noise

  • Author

    Jansen, Maarten

  • Author_Institution
    Dept. of Math. & Comput. Sci., TU Eindhoven, Netherlands
  • Volume
    13
  • Issue
    5
  • fYear
    2006
  • fDate
    5/1/2006 12:00:00 AM
  • Firstpage
    296
  • Lastpage
    299
  • Abstract
    In the estimation of data with many zeros (sparse data), such as wavelet coefficients, thresholding is a common technique. This letter investigates the behavior of the minimum risk threshold for large values of the noise standard deviation. It finds that the threshold depends quadratically on the noise standard deviation. The relevance of this result is situated in the context of both Bayesian and universal thresholding.
  • Keywords
    Bayes methods; image denoising; Bayesian thresholding; data estimation; minimum risk threshold; noise standard deviation; universal thresholding; Additives; Analysis of variance; Bayesian methods; Computer science; Gene expression; Image denoising; Mathematics; Random variables; Wavelet coefficients; Bayes; threshold; wavelet;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2006.870355
  • Filename
    1618701