• DocumentCode
    1135828
  • Title

    Physical interpretation of signal reconstruction from reduced rank matrices

  • Author

    Dologlou, I. ; Carayannis, G.

  • Author_Institution
    Dept. of Electr. Eng., Nat. Tech. Univ. of Athens, Greece
  • Volume
    39
  • Issue
    7
  • fYear
    1991
  • fDate
    7/1/1991 12:00:00 AM
  • Firstpage
    1681
  • Lastpage
    1682
  • Abstract
    An enhanced version of a signal is obtained after subtraction of a linear combination of rank one matrices from the signal observation matrix. This operation results in a nonToeplitz observation matrix. By averaging the elements of this matrix, a new Toeplitz matrix is produced and a reconstructed signal is generated. This averaging operation is examined, and physical interpretations are given
  • Keywords
    matrix algebra; signal processing; Toeplitz matrix; averaging operation; nonToeplitz observation matrix; reduced rank matrices; signal observation matrix; signal processing; signal reconstruction; Autocorrelation; Constraint optimization; Covariance matrix; Eigenvalues and eigenfunctions; Equations; Matrix decomposition; Signal generators; Signal reconstruction; Singular value decomposition; Spectral analysis;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.134407
  • Filename
    134407