An examination of the accuracy of finite impulse response modeling

The author examines the suitability of modeling discrete-time linear systems with a finite number of impulse response (FIR) coefficients. The FIR terms can be used to construct a model of plant transfer function. A theoretical basis for this concept is developed in the form of theorems that characterize sets of transfer functions by their FIR coefficients. To illustrate the modeling technique a feedback control system is designed from the FIR model of an example plant transfer function and simulated. The results of this simulation provide an indication of the accuracy of the FIR model