Abstract
This paper provides an estimation method of the uncertainty of the pulse transfer function from the covariance matrices of the estimates of the vectorized system matrices in PO-MOESP method, in which Kalman gain and the covariance of the innovations process are consistently estimated by using the previously proposed method by the author. In the conventional methods, the estimates of Kalman gain and the covariance of the innovations process are asymptotically consistent, i.e., the estimates converges in probability to the true value as not only the data length but also the past horizon go to infinity. The contribution of the paper is to provide a consistent estimate of the frequency domain uncertainty for fixed past/future horizons.
