• DocumentCode
    1344184
  • Title

    On gradient adaptation with unit-norm constraints

  • Author

    Douglas, Scott C. ; Amari, Shun-Ichi ; Kung, S.Y.

  • Author_Institution
    Dept. of Electr. Eng., Southern Methodist Univ., Dallas, TX, USA
  • Volume
    48
  • Issue
    6
  • fYear
    2000
  • fDate
    6/1/2000 12:00:00 AM
  • Firstpage
    1843
  • Lastpage
    1847
  • Abstract
    In this correspondence, we describe gradient-based adaptive algorithms within parameter spaces that are specified by ||w||=1, where ||·|| is any vector norm. We provide several algorithm forms and relate them to true gradient procedures via their geometric structures. We also give algorithms that mitigate an inherent numerical instability for L2-norm-constrained optimization tasks. Simulations showing the performance of the techniques for independent component analysis are provided
  • Keywords
    adaptive signal processing; constraint theory; gradient methods; numerical stability; optimisation; L2-norm-constrained optimization tasks; geometric structures; gradient-based adaptive algorithms; independent component analysis; inherent numerical instability; iterative algorithm; parameter spaces; unit-norm constraints; Arithmetic; Computer architecture; Flow graphs; Geometry; Multiprocessor interconnection networks; Network topology; Parallel processing; Signal processing; Signal processing algorithms; Throughput;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.845952
  • Filename
    845952
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1344184