15.13 SINUSOIDAL STEADY-STATE FREQUENCY RESPONSE FROM
POLE-ZERO PLOTS
Let be a network function defined in a linear time-
invariant circuit and let all the poles of this network function be in the left-half of s-plane
excluding j
ω
-axis. The zeros can be located anywhere in s-plane. Then the network function
HsK
szszsz
spspsp
m
n
()
()()()
()()()
=
−−−
−−−
12
12
662
15ANALYSIS OF DYNAMIC CIRCUITS BY LAPLACE TRANSFORMS
frequency as defined in Sect. 11.6 in Chap. 11. Obtain expressions for impulse response
of the network function for positive and negative values of
ξ
in the range –1 <
ξ
< 1.
SOLUTION
The poles are at . They are complex conjugate poles for ...
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