Title :
A property of Jacobian matrices and some of its consequences
Author :
Fettweis, A. ; Bose, N.K.
Author_Institution :
Lehrstuhl fuer Nachrichtentechnik, Ruhr-Univ., Bochum, Germany
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 to 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; filtering theory; multidimensional digital filters; wave digital filters; Jacobian matrix property; adjoint matrix annihilator; multidimensional differential operator; multidimensional wave digital filter structure; passive multidimensional Kirchhoff network; Circuits; Digital filters; Jacobian matrices; Multidimensional systems; Numerical analysis; Partial differential equations; Physics computing; Robustness; Signal processing;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.807499
