Some results in the application of polyspectra to certain nonlinear communication systems

Diagonal Kernel Point Estimation of"Equation missing" th-Order Discrete Volterra-Wiener Systems

“…In [12] and references therein, a useful formula can be found which directly relates Wiener kernels to cumulants. The use of (18), after some manipulations, is equivalent to the formulation proposed in [12].…”

“…The use of (18), after some manipulations, is equivalent to the formulation proposed in [12]. The computation of the joint cumulants of mth-order requires, in principle, the knowledge of all the joint moments up to mth-order [2].…”

“…In the white Gaussian input case, the general formulas in [10] can be shown to reduce to Goussard's method. Other formulas using cumulants to estimate Wiener kernels directly have been proposed in [12]. Unfortunately, no implementation problems or any simulated efficiency tests were considered in [10,12] because they were not among the purposes of the authors.…”