Laguerre-domain Modeling and Identification of Linear Discrete-time Delay Systems

Overview & Synopsis

A closed-form Laguerre-domain representation of discrete linear time-invariant systems with constant input time delay is derived. It is shown to be useful in a l 2 → l 2 system identification setup (with l 2 denoting square-summables signals) often arising in biomedical applications, where the experimental protocol does not allow for persistent excitation of the system dynamics. The utility of the proposed system representation is demonstrated on a problem of drug kinetics estimation from clinical data.