Input Signal Design for System Identification: A Comparative Analysis

In this paper the problem of input signal design for system identification is considered. The input signal is amplitude-constrained and the case of a finite-length Input sequence Is Investigated. Various optiraality criteria are used to derive the optimal identifying input sequence. In particular: Rissanen's Minimum Description length (MHL) criterion, the determinant of the information matrix, the information matrix determinant ratio, and the trace of the parameter error covariance matrix are considered as the criteria for optimality of identification. These input design criteria can also be used in structure selection (multivariate systems) or in model order (univariate systems) estimation procedures. The emphasis is pur on autoregressive models, and the input signal sequences are derived using a dynamic programming approach. A comparative study based on analytical results as well as on simulations is presented.