Remarks on the modulating function method for impulse response identification

This note concerns the applications of the modulating function method to the input-output relation y(t)= . The problem is to determine the coefficients ckin the differential equation from integral transforms of and over a finite interval [ ]. The main objective is to present a device which obtains the ck\´s via the inversion of a system of linear equations, whereas the straightforward approach leads to a system involving twice as many equations.