  The computation of a structured canonical polyadic decomposition (CPD) is
useful to address several important modeling problems in real-world
applications. In this paper, we consider the identification of a nonlinear
system by means of a Wiener-Hammerstein model, assuming a high-order Volterra
kernel of that system has been previously estimated. Such a kernel, viewed as a
tensor, admits a CPD with banded circulant factors which comprise the model
parameters. To estimate them, we formulate specialized estimators based on
recently proposed algorithms for the computation of structured CPDs. Then,
considering the presence of additive white Gaussian noise, we derive a
closed-form expression for the Cramer-Rao bound (CRB) associated with this
estimation problem. Finally, we assess the statistical performance of the
proposed estimators via Monte Carlo simulations, by comparing their mean-square
error with the CRB.
