• DocumentCode
    1307165
  • Title

    Observations on oblique projectors and pseudoinverses

  • Author

    Ainsleigh, Phillip L.

  • Author_Institution
    Naval Undersea Warfare Center, Newport, RI, USA
  • Volume
    45
  • Issue
    7
  • fYear
    1997
  • fDate
    7/1/1997 12:00:00 AM
  • Firstpage
    1886
  • Lastpage
    1889
  • Abstract
    Oblique projectors (which were examined by Behrens and Scharf (see ibid., vol.42, no.6, p.1413-24, 1994)) are related to earlier work on oblique pseudoinverses and constrained least-squares methods and are reconsidered from the standpoint of orthogonal basis vectors and QR factorizations. Construction algorithms are presented that are numerically more stable than the normal-equations constructions previously used
  • Keywords
    inverse problems; least mean squares methods; matrix algebra; observers; signal processing; QR factorizations; constrained least-squares methods; construction algorithms; oblique projectors; oblique pseudoinverses; orthogonal basis vectors; signal processing; stable algorithms; Acoustic measurements; Acoustic noise; Acoustic transducers; Amplitude estimation; Data mining; Fitting; Harmonic distortion; Mathematical model; Signal processing; White noise;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.599966
  • Filename
    599966