time-invariant circuit. Then the impulse response of this network function is given by its
inverse transform. The transform H(s) 1 (1 is the Laplace transform of
δ
(t)) can be
expressed in partial fractions as below.
(15.12-1)
We have assumed that all poles are non-repeating ones. If there are repeating poles
we may assume that the poles are slightly apart by
Δ
pand evaluate the limit of h(t) as
Δ
p→0
after we complete the inversion. We will need a familiar limit, for
this. This strategy will help us to view all poles as non-repeating ...
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