Title :
On causality and anticausality of cascaded discrete-time systems
Author :
Shu, Huang ; Chen, Tongwen
Author_Institution :
Dept. of Electr. & Comput. Eng., Calgary Univ., Alta., Canada
fDate :
3/1/1996 12:00:00 AM
Abstract :
This brief treats a fundamental question: when two linear time-invariant, finite-dimensional systems, causal or noncausal, are cascaded, what can be said about the causality properties of the overall system? We give conditions under which the cascaded system is causal or anticausal; these conditions are related to Sylvester equations obtained from state-space data of the systems. Both discrete- and continuous-time systems are considered
Keywords :
cascade systems; discrete time systems; multidimensional systems; physics fundamentals; state-space methods; Sylvester equations; anticausality; cascaded discrete-time systems; causality; continuous-time systems; finite-dimensional systems; state-space data; Circuits; Control systems; Equations; MIMO; Matched filters; Optimal control; Process control; Signal processing; Testing; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on