MODULATING FUNCTION-METHOD FOR IMPULSE-RESPONSE IDENTIFICATION

This note concerns the applications of the modulating function method to the input-output relation [formula omitted]. The problem is to determine the coefficients ck in the differential equation, [formula omitted]. from integral transforms of y(t) and u(t) over a finite interval [0,T]. The main objective is to present a device which obtains the ck's via the inversion of a system of N linear equations, whereas the straightforward approach leads to a system involving twice as many equations. Copyright © 1979 by The Institute of Electrical and Electronics Engineers, Inc.