Environmental Engineering Reference
In-Depth Information
Using this technique the second-order Volterra circuit is depicted by
where
and
are the coefficients of the interpolating Fourier series
that interpolates
The response of the
circuit in the window is obtained from
This approach can be further developed to minimize the error due to
the discontinuity of the derivatives of the function [69].
6.3.5 Error Propagation
Because the error due to the truncation of Taylor series and that of
Volterra series are usually insignificant for mildly nonlinear circuits. In
what follows only the interpolation error is considered. The interpolation
error in deriving the input of the second-order Volterra circuit, denoted
by as shown in Fig.7.6, gives rise to the error of the response of
the second-order Volterra circuit, is given by
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