Iterative least-squares parameter estimation for ARMA pulse response and output disturbance

The parameters of an ARMA system and of additive ARMA output disturbance with mutually different poles were estimated from a record of the disturbed output on a single pulse input. Alternating the steps of iterative inverse filtering with iterations according to generalized least squares appeared very economical for this system. This procedure converged for second-order simulations. Statistics of the estimates were evaluated from these simulation results for two signal-to-noise ratios.