• DocumentCode
    768805
  • Title

    On determining upper bounds of maximal eigenvalue of Hermitian positive-definite matrix

  • Author

    Park, Daeyoung ; Lee, Byeong Gi

  • Author_Institution
    Sch. of Electr. Eng., Seoul Nat. Univ., South Korea
  • Volume
    10
  • Issue
    9
  • fYear
    2003
  • Firstpage
    267
  • Lastpage
    269
  • Abstract
    We first present a new method of determining the upper bounds of maximal eigenvalue of Hermitian positive-definite matrix, which includes the Dembo´s (1988) upper bound as a special case. Then we derive the kth-order upper bound /spl Lambda//sub k/ and its first-round iteration /spl Lambda//sub k//sup (1)/ which is much tighter than the Dembo´s upper bound /spl Lambda//sub 0/.
  • Keywords
    Hermitian matrices; eigenvalues and eigenfunctions; filtering theory; AWGN channel; Hermitian positive-definite matrix; additive white Guassian noise channel; filter coefficients; finite impulse response filter; first-round iteration; maximal eigenvalue; random signal; upper bounds; AWGN; Additive white noise; Eigenvalues and eigenfunctions; Equations; Finite impulse response filter; Gaussian noise; Polynomials; Signal to noise ratio; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2003.815614
  • Filename
    1223584