The identification of polynomial systems by means of higher order spectra
Abstract
Following a number of earlier authors, we define a polynomial system as a system that carries a signal of the form X_{1}( t) + αX_{2}( t),  ∞ < t < ∞, over into a signal that is a polynomial in α. We consider systems that are polynomial and time invariant. Higher order transfer functions are defined and the problem of their estimation by (i) probing with cosinusoids, (ii) probing with Gaussian signals, is considered. The usual procedures, for the identification of time invariant linear systems, are particular cases of our procedures.
 Publication:

Journal of Sound Vibration
 Pub Date:
 July 1970
 DOI:
 10.1016/0022460X(70)90074X
 Bibcode:
 1970JSV....12..301B