Abstract :
Digital simulation of linear systems often is complicated by the simultaneous presence of "slow" and "fast" time constants (or of small and large eigenvalues). A procedure is described that simplifies the treatment of such systems. Roughly speaking, the procedure consists of separating the response into a "low-frequency" and a "high-frequency" component, calculating each component, and then adding the results. The response separation is effected by using elementary Filter Theory ideas in a matrix context. Exact eigenvalue information is not required; a rough idea of eigenvalue locations is needed, however, to effect the responce separation.
