Diagonal Kernel Point Estimation of n-th 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 non-parametric 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.