• DocumentCode
    1159116
  • Title

    Instability in the solution of banded Toeplitz systems

  • Author

    MacLeod, Allan J.

  • Author_Institution
    Dept. of Math. & Stat., Paisley Coll. of Technol., UK
  • Volume
    37
  • Issue
    9
  • fYear
    1989
  • fDate
    9/1/1989 12:00:00 AM
  • Firstpage
    1449
  • Lastpage
    1450
  • Abstract
    The author considers some algorithms for the solution of banded Toeplitz systems and calculates certain elements of the solution first and then the remaining elements by forward or backward substitution. It is shown that for symmetric matrices this method is almost always highly unstable. A numerical example is given to support the argument
  • Keywords
    matrix algebra; signal processing; banded Toeplitz systems; signal processing; symmetric matrices; Adaptive arrays; Antennas and propagation; Array signal processing; Frequency; Multidimensional signal processing; Sensor arrays; Signal processing; Signal processing algorithms; Signal resolution; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/29.31301
  • Filename
    31301
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1159116