A Log-Frequency Approach to the Identification of the Wiener-Hammerstein Model

In this paper we present a simple closed-form solution to the Wiener–Hammerstein (W–H) identification problem. The identification process occurs in the log-frequency domain where magnitudes and phases are separable. We show that the theoretically optimal W–H identification is unique up to an amplitude, phase and delay ambiguity, and that the nonlinearity enables the separate identification of the individual linear time invariant (LTI) components in a W–H architecture.