Best causal mathematical models for a nonlinear system

@article{Torokhti2005BestCM,
title={Best causal mathematical models for a nonlinear system},
author={A. Torokhti and P. Howlett and C. Pearce},
journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
year={2005},
volume={52},
pages={1013-1020}
}

IEEE Transactions on Circuits and Systems I: Regular Papers

We provide new causal mathematical models of a nonlinear system S which are specifications of a nonlinear operator P/sub p/ of degree p=1,2,.... The operator P/sub p/ is determined from a special orthogonalization procedure and minimization of the mean squared difference between outputs of S and P/sub p/. As a result, these models have smallest possible associated errors in the class of such operators P/sub p/. The causality condition is implemented through the use of specific matrices calledâ€¦Â Expand