• DocumentCode
    1537587
  • Title

    Convergence condition of adaptive algorithm of nonlinear adaptive digital filter

  • Author

    Kobayashi, Masaki ; Itoh, Yoshio ; Okello, James

  • Author_Institution
    Dept. of Inf. & Comput. Sci., Ibaraki Univ., Japan
  • Volume
    46
  • Issue
    8
  • fYear
    1999
  • fDate
    8/1/1999 12:00:00 AM
  • Firstpage
    1089
  • Lastpage
    1094
  • Abstract
    In this brief, we consider the adaptive algorithm and the convergence condition of the nonlinear adaptive digital filter (ADF) that has a general transfer function. The adaptive algorithm is based on the orthogonality principle, and the updating value of the algorithm is the correlation of the input signal to the weights and the estimation error. The sufficient condition of the unknown system for which the weight vector of the ADF converges to the weight vector of the unknown system is derived
  • Keywords
    adaptive filters; convergence; digital filters; nonlinear filters; transfer functions; adaptive algorithm; convergence condition; estimation error; input signal; nonlinear adaptive digital filter; orthogonality principle; transfer function; updating value; weight vector; Adaptive algorithm; Circuits; Convergence; Delta-sigma modulation; Digital filters; Estimation error; Limit-cycles; Signal processing; Stability; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7130
  • Type

    jour

  • DOI
    10.1109/82.782058
  • Filename
    782058