Ahsfract-Using the notion of fading memory we prove very strong versions of two folk theorems. The first is that any time-inuariant (TZ) con~inuou.r nonlinear operator can be approximated by a Volterra series operator, and the second is that the approximating operator can be realized as a finiiedimensional linear dynamical system with a nonlinear readout… (More)

@inproceedings{Boyd1985FadingMA,
title={Fading Memory and the Problem of Approximating Nonlinear Operators with Volterra Series},
author={Stephen Boyd},
year={1985}
}