• DocumentCode
    1393263
  • Title

    Alpha-stable signals and adaptive filtering

  • Author

    Masry, Elias

  • Author_Institution
    Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
  • Volume
    48
  • Issue
    11
  • fYear
    2000
  • fDate
    11/1/2000 12:00:00 AM
  • Firstpage
    3011
  • Lastpage
    3016
  • Abstract
    Let {Dk,Xk} be jointly stationary symmetric α-stable processes with index 1<α<2. We first consider the problem of optimal FIR linear and regression filters. We then consider the signed-error and sign-sign adaptive filtering algorithms for the estimation of the desired signal Dj on the basis of the input vector Xj. Various convergence results are established for the signal and tap weights estimation errors
  • Keywords
    FIR filters; adaptive filters; estimation theory; numerical stability; adaptive filtering; alpha-stable signals; convergence; desired signal; input vector; optimal FIR linear filter; regression filter; sign-sign adaptive filtering algorithms; signed-error algorithm; stationary symmetric α-stable processes; tap weights estimation errors; Acoustic signal processing; Adaptive filters; Convergence; Estimation theory; Filtering algorithms; Finite impulse response filter; Gaussian processes; Nonlinear filters; Random variables; Signal processing algorithms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.875458
  • Filename
    875458