DocumentCode
1146414
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
Volume
50
Issue
1
fYear
2003
Firstpage
153
Lastpage
155
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;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/TCSI.2002.807499
Filename
1179161
Link To Document