Diagonal Kernel Point Estimation of nth-Order Discrete Volterra-Wiener Systems

The estimation of diagonal elements of a Wiener model kernel is a well known practical and theoretical problem. The new operators and notations here proposed aim at the automatic code generation for the implementation of efficient and accurate nonparametric algorithms for the identification of diagonal points. The resulting formulas here presented allow the direct implementation of the Wiener kernel of Wiener kernel identification up to the n-th order. Their efficiency is demonstrated by simulations conducted on fifth order discrete-causal Volterra test systems.