Environmental Engineering Reference
In-Depth Information
transform of both Dirac impulse function and that of unit step func-
tion are well defined in Laplace domain, numerical Laplace inversion
thus provides an effective way to handle Dirac impulses and discon-
tinuities that exist in mixed-mode switching circuits and can not be
handled by conventional LMS-PC integration methods in the time
domain.
The computation of the time-domain response involves the frequency-
domain evaluation of the network function at frequencies
Since is independent of the network and time, the value
of and that of do not vary with circuits and can therefore be
pre-computed to a very high degree of accuracy and stored. Tables
4.2-4.5 tabulate the value of and that of for {
N,M
}
=
{2,4}
and {
N
,
M
}
=
{8,10} with 15 digits, the maximum accuracy of most
numerical packages at the present time.
The accuracy of numerical Laplace inversion depends upon
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