Title :
Some theoretical results based on passivity for linear time-invariant digital filters
Author_Institution :
Dept. of Electr. Eng., Univ.-GH-Paderborn, Germany
Abstract :
In this paper, a suitable definition of passivity is chosen for linear and time-invariant digital filters, which are described only by state-space equations without any knowledge of their structures. The rational transfer function or transfer matrix of such a passive digital filter is so-called unitary-bounded. In general, the converse of this statement is not true. However, any digital filter possessing a unitary-bounded rational transfer function or transfer matrix is passive if it is minimal. Some further theoretical results based on this definition of passivity are also presented
Keywords :
digital filters; passive filters; state-space methods; transfer functions; linear time-invariant digital filters; passive digital filter; passivity; state-space equations; transfer matrix; unitary-bounded rational transfer function; Concrete; Delay effects; Digital filters; Equations; Finite wordlength effects; Limit-cycles; Marine vehicles; Passive filters; Transfer functions;
Conference_Titel :
Circuits and Systems, 1996., IEEE 39th Midwest symposium on
Conference_Location :
Ames, IA
Print_ISBN :
0-7803-3636-4
DOI :
10.1109/MWSCAS.1996.593228
