• DocumentCode
    1800877
  • Title

    A property of Jacobian matrices and some of its consequences

  • Author

    Fettweis, A. ; Bose, N.K.

  • Author_Institution
    Lehrstuhl fur Nachrichtentech., Ruhr-Univ., Bochum, Germany
  • Volume
    3
  • fYear
    2002
  • fDate
    2002
  • Abstract
    It is proved that the multidimensional differential operator is an annihilator of the adjoint matrix associated with a Jacobian matrix. Some of the consequences of this result for other distinguished matrices are pointed out and its relevance in the derivation of a multidimensional wave digital filter structure from a passive multidimensional Kirchhoff network is confirmed.
  • Keywords
    Jacobian matrices; multidimensional digital filters; wave digital filters; Jacobian matrices; adjoint matrix annihilator; multidimensional differential operator; multidimensional wave digital filter structure; passive multidimensional Kirchhoff network; Digital filters; Jacobian matrices; Multidimensional systems; Numerical analysis; Partial differential equations; Physics computing; Robustness; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
  • Print_ISBN
    0-7803-7448-7
  • Type

    conf

  • DOI
    10.1109/ISCAS.2002.1010231
  • Filename
    1010231