• DocumentCode
    934029
  • Title

    The complex LMS algorithm

  • Author

    Widrow, Bernard ; McCool, John ; Ball, Michael

  • Author_Institution
    Stanford University, Stanford, Calif.
  • Volume
    63
  • Issue
    4
  • fYear
    1975
  • fDate
    4/1/1975 12:00:00 AM
  • Firstpage
    719
  • Lastpage
    720
  • Abstract
    A least-mean-square (LMS) adaptive algorithm for complex signals is derived. The original Widrow-Hoff LMS algorithm is Wj+l= Wj+ 2µεjXj. The complex form is shown to be Wj+1= Wj+ 2µεjX-j, where the boldfaced terms represent complex (phasor) signals and the bar above Xjdesignates complex conjugate.
  • Keywords
    Adaptive algorithm; Adaptive systems; Algorithm design and analysis; Convergence; Equations; Error correction; Frequency; Least squares approximation; Sampling methods; Vectors;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1975.9807
  • Filename
    1451737
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=934029