Title :
On the invariance of second-order modes under frequency transformation in 2-D separable denominator digital filters
Author :
Kawamata, Masayuki ; Koshita, Shunsuke
Author_Institution :
Dept. of Electron. Eng., Tohoku Univ., Sendai, Japan
Abstract :
This paper discusses the invariance of the second-order modes of 2-D separable denominator digital filters under frequency transformation. It is proved that the second-order modes of 2-D separable denominator digital filters are not invariant under all frequency transformations, but invariant under specific frequency transformations of which transfer functions are strictly proper.
Keywords :
invariance; state-space methods; transfer functions; two-dimensional digital filters; 2D separable denominator digital filters; frequency transformations; mode invariance; second-order modes; state-space expressions; strictly proper transfer functions; Bandwidth; Controllability; Digital filters; Eigenvalues and eigenfunctions; Equations; Frequency; Observability; Quantization; Reduced order systems; Transfer functions;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1010819
