STRUCTURE AND ORDER ESTIMATION OF MULTIVARIABLE STOCHASTIC-PROCESSES

This note presents a procedure allowing us to estimate the structure of a state-space representation for a multivariable stationary stochastic process from measured output data. It is assumed that the observed vector time series is a realization of a process with rational spectrum or the output of a stable, time-invariant, linear system driven by white noise. We propose an algorithm which selects a maximal set of linearly independent rows of the Hankel matrix built upon the estimated covariance sequence and which thus yields estimates of the Kronecker invariants. © 1990 IEEE