15.12 IMPULSE RESPONSE OF NETWORK FUNCTIONS FROM POLE-ZERO PLOTS
Let 
be a network function defined in a linear 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.
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 Δp and evaluate the limit of h(t) as Δp → 0 after we complete the inversion. ...
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